NEET Full-Length Mock Test 2

NEET Mock Test - 2026

Test 2

Number Of Questions: 180

Time: 3 hours

Correct answer Carries: 4.

Wrong Answer Carries: -1.

3:00:00

Physics

A proton moves at \( 1.5 \times 10^7 \, \text{m/s} \) perpendicular to a field of \( 0.2 \, \text{T} \). What is the radius of its path? (Mass = \( 1.67 \times 10^{-27} \, \text{kg} \), charge = \( 1.6 \times 10^{-19} \, \text{C} \))

\( r = \frac{mv}{qB} \).

\( r = \frac{1.67 \times 10^{-27} \times 1.5 \times 10^7}{1.6 \times 10^{-19} \times 0.2} = \frac{2.505 \times 10^{-20}}{3.2 \times 10^{-20}} = 0.7828 \approx 0.78 \, \text{m} \).

0.39 m
1.56 m
0.78 m
1.17 m
3

A bar magnet with magnetic moment \( 2.4 \, \text{A m}^2 \) is placed at a distance of \( 0.6 \, \text{m} \) along its axis. What is the magnetic field \( B \) at that point? (Take \( \mu_0 = 4\pi \times 10^{-7} \, \text{T m A}^{-1} \)).

The magnetic field along the axis is \( B = \frac{\mu_0}{4\pi} \frac{2m}{r^3} \).

Given: \( m = 2.4 \, \text{A m}^2 \), \( r = 0.6 \, \text{m} \), \( \frac{\mu_0}{4\pi} = 10^{-7} \).

Substitute: \( B = 10^{-7} \times \frac{2 \times 2.4}{(0.6)^3} = 10^{-7} \times \frac{4.8}{0.216} \approx 2.22 \times 10^{-6} \, \text{T} \).

2.22 × 10⁻⁶ T
2.5 × 10⁻⁶ T
2.8 × 10⁻⁶ T
3.0 × 10⁻⁶ T
1

In a purely resistive AC circuit, the phase difference between voltage and current is:

For a pure resistor, \( v = v_m \sin \omega t \) and \( i = i_m \sin \omega t \).

Phase difference \( \phi = 0^\circ \), as they are in phase.

45°
90°
180°
1

The electric field of an EM wave oscillates with amplitude \( 48 \, \text{V/m} \) and frequency \( 2 \times 10^{10} \, \text{Hz} \). What is the amplitude of the magnetic field? (Given \( c = 3 \times 10^8 \, \text{m/s} \))

Using \( B_0 = \frac{E_0}{c} \), we have \( B_0 = \frac{48}{3 \times 10^8} = 1.6 \times 10^{-7} \, \text{T} \).

\( 1.2 \times 10^{-7} \, \text{T} \)
\( 1.6 \times 10^{-7} \, \text{T} \)
\( 2.0 \times 10^{-7} \, \text{T} \)
\( 2.4 \times 10^{-7} \, \text{T} \)
2

A solenoid produces \( B = 0.85 \, \text{T} \) with a core of \( \mu_r = 200 \) and \( n = 1500 \, \text{m}^{-1} \). What is the current \( I \)? (Take \( \mu_0 = 4\pi \times 10^{-7} \, \text{T m A}^{-1} \)).

\( B = \mu_0 \mu_r n I \), so \( I = \frac{B}{\mu_0 \mu_r n} \).

Given: \( B = 0.85 \, \text{T} \), \( \mu_r = 200 \), \( n = 1500 \, \text{m}^{-1} \), \( \mu_0 = 4\pi \times 10^{-7} \).

\( I = \frac{0.85}{4\pi \times 10^{-7} \times 200 \times 1500} = \frac{0.85}{3.769 \times 10^{-1}} \approx 2.255 \, \text{A} \approx 2.3 \, \text{A} \).

2.1 A
2.2 A
2.3 A
2.4 A
3

A paramagnetic material with \( \chi = 2 \times 10^{-3} \) is placed in \( H = 500 \, \text{A m}^{-1} \). What is \( M \)?

\( M = \chi H \).

Given: \( \chi = 2 \times 10^{-3} \), \( H = 500 \, \text{A m}^{-1} \).

\( M = 2 \times 10^{-3} \times 500 = 1 \, \text{A m}^{-1} \).

0.5 A m⁻¹
1 A m⁻¹
1.5 A m⁻¹
2 A m⁻¹
2

Two parallel wires \( 0.02 \, \text{m} \) apart carry \( 10 \, \text{A} \) and \( 3 \, \text{A} \) in the same direction. What is the force per unit length? (\( \mu_0 = 4 \pi \times 10^{-7} \, \text{T m/A} \))

\( f = \frac{\mu_0 I_1 I_2}{2 \pi d} \).

\( f = \frac{4 \pi \times 10^{-7} \times 10 \times 3}{2 \pi \times 0.02} = \frac{120 \times 10^{-7}}{0.04} = 3 \times 10^{-5} \, \text{N/m} \).

1.5 × 10⁻⁵ N/m
6 × 10⁻⁵ N/m
2.25 × 10⁻⁵ N/m
3 × 10⁻⁵ N/m
4

Which of the following equations is dimensionally inconsistent?

(a) \( [s] = [L], [u t] = [L T^{-1}] [T] = [L] \), consistent.

(b) \( [v] = [L T^{-1}], [a t] = [L T^{-2}] [T] = [L T^{-1}] \), consistent.

(c) \( [F] = [M L T^{-2}], [m v / t] = [M L T^{-1}] / [T] = [M L T^{-2}] \), consistent.

(d) \( [E] = [M L^2 T^{-2}], [m v t] = [M L T^{-1}] [T] = [M L T^0] \), inconsistent.

s = ut
v = at
F = mv/t
E = mvt
4

A stone falls from a height of \( 72 \, \text{m} \) on a planet and takes \( 3 \, \text{s} \) to reach the ground. What is the gravitational acceleration on this planet?

\( h = \frac{1}{2} g t^2 \), \( 72 = \frac{1}{2} g (3)^2 \Rightarrow 72 = 4.5 g \Rightarrow g = 16 \, \text{m/s}^2 \).

15 m/s²
17 m/s²
14 m/s²
16 m/s²
4

A charged conductor has a surface charge density of \( 2 \times 10^{-6} \, \text{C/m}^2 \). What is the electric field just outside it? (Take \( \varepsilon_0 = 8.85 \times 10^{-12} \, \text{C}^2 \text{N}^{-1} \text{m}^{-2} \)).

\( E = \frac{\sigma}{\varepsilon_0} = \frac{2 \times 10^{-6}}{8.85 \times 10^{-12}} \approx 2.26 \times 10^5 \, \text{N/C} \).

2 × 10⁵ N/C
2.26 × 10⁵ N/C
2.5 × 10⁵ N/C
3 × 10⁵ N/C
2

A conductor has a resistivity of \( 3 \times 10^{-8} \, \Omega \text{m} \) and \( \alpha = 4 \times 10^{-3} \, ^\circ\text{C}^{-1} \) at \( 25^\circ \text{C} \). What is its resistivity at \( 75^\circ \text{C} \)?

Use: \( \rho_t = \rho_0 [1 + \alpha (T - T_0)] \).

Substitute: \( \rho_t = 3 \times 10^{-8} [1 + 4 \times 10^{-3} (75 - 25)] \).

Calculate: \( \rho_t = 3 \times 10^{-8} [1 + 0.2] = 3 \times 10^{-8} \times 1.2 = 3.6 \times 10^{-8} \, \Omega \text{m} \).

\( 3.3 \times 10^{-8} \, \Omega \text{m} \)
\( 3.5 \times 10^{-8} \, \Omega \text{m} \)
\( 3.6 \times 10^{-8} \, \Omega \text{m} \)
\( 3.8 \times 10^{-8} \, \Omega \text{m} \)
3

An electron moves with a speed of \( 4 \times 10^6 \, \text{m/s} \) perpendicular to a magnetic field of \( 0.3 \, \text{T} \). What is the radius of its path? (Mass = \( 9.1 \times 10^{-31} \, \text{kg} \), charge = \( 1.6 \times 10^{-19} \, \text{C} \))

Radius \( r = \frac{mv}{qB} \).

\( r = \frac{9.1 \times 10^{-31} \times 4 \times 10^6}{1.6 \times 10^{-19} \times 0.3} = \frac{3.64 \times 10^{-24}}{4.8 \times 10^{-20}} = 7.58 \times 10^{-5} \, \text{m} = 7.58 \times 10^{-3} \, \text{cm} \).

7.58 × 10⁻³ cm
1.52 × 10⁻² cm
3.79 × 10⁻³ cm
5.06 × 10⁻³ cm
1

A bar magnet produces a field of \( 3 \times 10^{-6} \, \text{T} \) at \( 0.6 \, \text{m} \) on its equatorial line. What is its magnetic moment? (Take \( \mu_0 = 4\pi \times 10^{-7} \, \text{T m A}^{-1} \)).

\( B = \frac{\mu_0}{4\pi} \frac{m}{r^3} \), so \( m = \frac{B r^3}{\frac{\mu_0}{4\pi}} \).

Given: \( B = 3 \times 10^{-6} \, \text{T} \), \( r = 0.6 \, \text{m} \), \( \frac{\mu_0}{4\pi} = 10^{-7} \).

\( m = \frac{3 \times 10^{-6} \times (0.6)^3}{10^{-7}} = \frac{3 \times 10^{-6} \times 0.216}{10^{-7}} = 6.48 \, \text{A m}^2 \).

6.2 A m²
6.48 A m²
6.8 A m²
7.0 A m²
2

A solenoid of 1000 turns/m and area 0.02 m² has \( \mu_r = 2 \). What is its self-inductance? (\( \mu_0 = 4\pi \times 10^{-7} \, \text{H/m} \))

\( L = \mu_r \mu_0 n^2 A l \), assume \( l = 1 \, \text{m} \).

\( L = 2 \times 4\pi \times 10^{-7} \times (1000)^2 \times 0.02 \times 1 = 0.05024 \, \text{H} \approx 0.05 \, \text{H} \).

0.02 H
0.03 H
0.05 H
0.07 H
3

A wire of length \( 4 \, \text{m} \) and resistance \( 8 \, \Omega \) is stretched to double its length. What is its new resistance?

Resistance: \( R = \frac{\rho l}{A} \). Volume \( l A \) is constant.

New length: \( l' = 2l \), new area: \( A' = \frac{A}{2} \).

New resistance: \( R' = \frac{\rho (2l)}{\frac{A}{2}} = \frac{4 \rho l}{A} = 4R = 4 \times 8 = 32 \, \Omega \).

\( 16 \, \Omega \)
\( 24 \, \Omega \)
\( 32 \, \Omega \)
\( 40 \, \Omega \)
3

Three charges \( +4 \, \mu\text{C} \), \( -1 \, \mu\text{C} \), and \( +2 \, \mu\text{C} \) are at \( (0, 0, 0) \), \( (4, 0, 0) \), and \( (0, 3, 0) \, \text{m} \). What is the potential at \( (4, 3, 0) \, \text{m} \)? (Take \( \frac{1}{4 \pi \varepsilon_0} = 9 \times 10^9 \, \text{Nm}^2 \text{C}^{-2} \)).

Distances: \( r_1 = \sqrt{4^2 + 3^2} = 5 \, \text{m} \), \( r_2 = 3 \, \text{m} \), \( r_3 = 4 \, \text{m} \).

\( V = 9 \times 10^9 \left( \frac{4 \times 10^{-6}}{5} + \frac{-1 \times 10^{-6}}{3} + \frac{2 \times 10^{-6}}{4} \right) \).

\( V = 9 \times 10^9 \left( 0.8 \times 10^{-6} - 0.333 \times 10^{-6} + 0.5 \times 10^{-6} \right) \).

\( V = 9 \times 10^9 \times 0.967 \times 10^{-6} = 8703 \, \text{V} \).

8500 V
8703 V
8800 V
9000 V
2

What is the SI unit of a quantity with dimensional formula \( [M L T^{-1}] \)?

\( [M] = \text{kg}, [L] = \text{m}, [T] = \text{s} \).

\( [M L T^{-1}] = \text{kg m s}^{-1} \).

(Matches momentum or impulse).

kg m s⁻¹
kg m² s⁻¹
kg m s⁻²
kg m⁻¹ s⁻¹
1

A brass plate of area 0.04 m2 experiences a shearing force of 2 × 104 N. If the shear strain is 1 × 10-5, what is the shear modulus of brass?

Shear modulus: G = (Shear stress) / (Shear strain).

Shear stress: Shear stress = F / A = (2 × 104) / 0.04 = 5 × 105 N/m2.

Shear strain: 1 × 10-5.

Substitute: G = (5 × 105) / (1 × 10-5) = 5 × 1010 N/m2.

4 × 1010 N/m2
5 × 1010 N/m2
6 × 1010 N/m2
3 × 1010 N/m2
2

What is the molar specific heat capacity at constant pressure for a diatomic gas if \( C_v = \frac{5}{2} R \) and \( R = 8.3 \, \text{J mol}^{-1} \text{K}^{-1} \)?

\( C_p - C_v = R \).

\( C_p = C_v + R = \frac{5}{2} R + R = \frac{7}{2} R \).

\( C_p = \frac{7}{2} \times 8.3 = 29.05 \, \text{J mol}^{-1} \text{K}^{-1} \).

20.8 J mol⁻¹ K⁻¹
25.0 J mol⁻¹ K⁻¹
29.1 J mol⁻¹ K⁻¹
33.2 J mol⁻¹ K⁻¹
3

What is the pressure exerted by 1 mole of an ideal gas in a 10-litre container at 300 K? (\(R = 8.31 \, \text{J mol}^{-1} \text{K}^{-1}\))

\(PV = \mu R T\), \(P = \frac{\mu R T}{V}\).

\(P = \frac{1 \times 8.31 \times 300}{10 \times 10^{-3}} = 2.493 \times 10^5 \, \text{Pa} \approx 2.5 \, \text{atm} (1 \, \text{atm} \approx 10^5 \, \text{Pa})\).

1.5 atm
2.0 atm
2.5 atm
3.0 atm
3

A simple pendulum has a period of \( 4 \, \text{s} \) on Earth. What is its period on a planet with \( g = 4.9 \, \text{m/s}^2 \)? (\( g_{\text{Earth}} = 9.8 \, \text{m/s}^2 \))

\( T \propto \frac{1}{\sqrt{g}} \).

\( \frac{T_{\text{planet}}}{T_{\text{Earth}}} = \sqrt{\frac{g_{\text{Earth}}}{g_{\text{planet}}}} = \sqrt{\frac{9.8}{4.9}} = \sqrt{2} \).

\( T_{\text{planet}} = 4 \sqrt{2} \approx 4 \times 1.414 \approx 5.66 \, \text{s} \).

4.0 s
5.66 s
6.0 s
8.0 s
2

A wire has a resistance of \( 20 \, \Omega \) at \( 30^\circ \text{C} \) and \( 22 \, \Omega \) at \( 80^\circ \text{C} \). What is the temperature coefficient of resistivity?

Use: \( R_t = R_0 [1 + \alpha (T - T_0)] \).

Substitute: \( 22 = 20 [1 + \alpha (80 - 30)] \).

Solve: \( 22 = 20 + 1000\alpha \Rightarrow 1000\alpha = 2 \Rightarrow \alpha = \frac{2}{1000} = 2 \times 10^{-3} \, ^\circ\text{C}^{-1} \).

\( 2.0 \times 10^{-3} \, ^\circ\text{C}^{-1} \)
\( 2.2 \times 10^{-3} \, ^\circ\text{C}^{-1} \)
\( 2.5 \times 10^{-3} \, ^\circ\text{C}^{-1} \)
\( 3.0 \times 10^{-3} \, ^\circ\text{C}^{-1} \)
1

A circuit has a \( 20 \, \text{V} \) battery with \( 2 \, \Omega \) internal resistance and three resistors \( 5 \, \Omega \), \( 10 \, \Omega \), \( 20 \, \Omega \) in parallel. What is the current through the \( 10 \, \Omega \) resistor?

Parallel resistance: \( \frac{1}{R_p} = \frac{1}{5} + \frac{1}{10} + \frac{1}{20} = \frac{4 + 2 + 1}{20} = \frac{7}{20} \Rightarrow R_p = \frac{20}{7} \approx 2.86 \, \Omega \).

Total resistance: \( R_{\text{total}} = 2 + 2.86 = 4.86 \, \Omega \).

Total current: \( I = \frac{\varepsilon}{R_{\text{total}}} = \frac{20}{4.86} \approx 4.12 \, \text{A} \).

Voltage across parallel: \( V = I R_p = 4.12 \times 2.86 \approx 11.78 \, \text{V} \).

Current through \( 10 \, \Omega \): \( I_{10} = \frac{V}{10} = \frac{11.78}{10} \approx 1.18 \, \text{A} \).

\( 1.0 \, \text{A} \)
\( 1.1 \, \text{A} \)
\( 1.15 \, \text{A} \)
\( 1.18 \, \text{A} \)
4

A car accelerates from rest at \( 3 \, \text{m/s}^2 \) for \( 5 \, \text{s} \), then decelerates at \( 2 \, \text{m/s}^2 \) until its speed is \( 9 \, \text{m/s} \). What is the total distance covered?

Phase 1: \( v = 3 \cdot 5 = 15 \, \text{m/s} \), \( x_1 = \frac{1}{2} \cdot 3 \cdot (5)^2 = 37.5 \, \text{m} \).

Phase 2: \( 9 = 15 - 2 t \Rightarrow t = 3 \, \text{s} \), \( x_2 = 15 \cdot 3 - \frac{1}{2} \cdot 2 \cdot (3)^2 = 45 - 9 = 36 \, \text{m} \).

Total = \( 37.5 + 36 = 73.5 \, \text{m} \).

70 m
73.5 m
75 m
80 m
1

A force starts at \( 80 \, \text{N} \) over \( 6 \, \text{m} \), then decreases linearly to \( 20 \, \text{N} \) over \( 9 \, \text{m} \). What is the total work done?

Work in first part: \( W_1 = 80 \times 6 = 480 \, \text{J} \).

Work in second part: \( W_2 = \frac{1}{2} (80 + 20) \times 9 = 50 \times 9 = 450 \, \text{J} \).

Total work: \( W = 480 + 450 = 930 \, \text{J} \).

900 J
930 J
960 J
990 J
2

What is the Kelvin temperature equivalent to \( 45^\circ \text{F} \)?

First, convert to Celsius: \( t_C = \frac{5}{9} (t_F - 32) = \frac{5}{9} (45 - 32) = \frac{5}{9} \times 13 \approx 7.22^\circ \text{C} \).

Then, to Kelvin: \( T = t_C + 273.15 = 7.22 + 273.15 \approx 280.37 \, \text{K} \).

278 K
279 K
280.37 K
281 K
3

A disk rotates at \( 5 \, \text{rad/s} \) with a moment of inertia \( 2 \, \text{kg m}^2 \). If an external torque of \( 10 \, \text{Nm} \) acts for \( 2 \, \text{s} \), what is the final angular velocity?

Angular impulse: \( \tau \Delta t = \Delta L = I \Delta \omega \).

\( \tau = 10 \, \text{Nm} \), \( \Delta t = 2 \, \text{s} \), \( I = 2 \, \text{kg m}^2 \).

\( \Delta \omega = \frac{\tau \Delta t}{I} = \frac{10 \times 2}{2} = 10 \, \text{rad/s} \).

Final \( \omega = \omega_0 + \Delta \omega = 5 + 10 = 15 \, \text{rad/s} \).

10 rad/s
12 rad/s
15 rad/s
20 rad/s
3

A moon orbits a planet with period 5 days and radius \( 2 \times 10^8 \, \text{m} \). What is the planet’s mass? (\( G = 6.67 \times 10^{-11} \, \text{N m}^2/\text{kg}^2, 1 \, \text{day} = 86400 \, \text{s} \))

\( M = \frac{4\pi^2 r^3}{G T^2} \).

\( T = 5 \times 86400 = 4.32 \times 10^5 \, \text{s} \).

\( T^2 = 1.866 \times 10^{11} \, \text{s}^2 \).

\( r^3 = (2 \times 10^8)^3 = 8 \times 10^{24} \, \text{m}^3 \).

\( M = \frac{4 \times (3.14)^2 \times 8 \times 10^{24}}{6.67 \times 10^{-11} \times 1.866 \times 10^{11}} \).

\( M = \frac{3.155 \times 10^{25}}{1.245 \times 10^1} \approx 2.53 \times 10^{24} \, \text{kg} \).

2.3 × 10²⁴ kg
2.5 × 10²⁴ kg
2.7 × 10²⁴ kg
2.9 × 10²⁴ kg
2

A force starts at \( 100 \, \text{N} \) over \( 4 \, \text{m} \), then decreases linearly to \( 30 \, \text{N} \) over \( 6 \, \text{m} \). What is the total work done?

Work in first part: \( W_1 = 100 \times 4 = 400 \, \text{J} \).

Work in second part: \( W_2 = \frac{1}{2} (100 + 30) \times 6 = 65 \times 6 = 390 \, \text{J} \).

Total work: \( W = 400 + 390 = 790 \, \text{J} \).

760 J
790 J
820 J
850 J
2

A submarine window (\( 0.03 \, \text{m}^2 \)) is at \( 500 \, \text{m} \) depth in seawater (\( \rho = 1.03 \times 10^3 \, \text{kg/m}^3 \)). What force acts on it if inside pressure is atmospheric? (Take \( g = 10 \, \text{m/s}^2 \))

Gauge pressure: \( P_g = \rho g h = 1.03 \times 10^3 \times 10 \times 500 = 5.15 \times 10^6 \, \text{Pa} \).

\( F = P_g A = 5.15 \times 10^6 \times 0.03 = 1.545 \times 10^5 \, \text{N} \).

1.2 × 10⁵ N
1.545 × 10⁵ N
1.8 × 10⁵ N
2.1 × 10⁵ N
2

An aluminium wire of length \( 1.8 \, \text{m} \) and cross-sectional area \( 3 \times 10^{-6} \, \text{m}^2 \) is stretched by a force of \( 300 \, \text{N} \). If the Young's modulus of aluminium is \( 7 \times 10^{10} \, \text{N/m}^2 \), what is the elongation?

Young's modulus: \( Y = \frac{F L}{A \Delta L} \).

Rearrange: \( \Delta L = \frac{F L}{A Y} \).

Substitute: \( \Delta L = \frac{300 \times 1.8}{3 \times 10^{-6} \times 7 \times 10^{10}} = \frac{540}{2.1 \times 10^5} \approx 2.57 \times 10^{-3} \, \text{m} = 2.57 \, \text{mm} \).

\( 2.57 \, \text{mm} \)
\( 3 \, \text{mm} \)
\( 2 \, \text{mm} \)
\( 1.5 \, \text{mm} \)
1

A spring-mass system oscillates with \( T = 0.8 \, \text{s} \) when \( m = 0.2 \, \text{kg} \). What is the spring constant?

\( T = 2\pi \sqrt{\frac{m}{k}} \).

\( 0.8 = 2\pi \sqrt{\frac{0.2}{k}} \Rightarrow \frac{0.8}{2\pi} = \sqrt{\frac{0.2}{k}} \).

\( (0.127)^2 = \frac{0.2}{k} \Rightarrow k = \frac{0.2}{0.0161} \approx 12.42 \, \text{N/m} \).

10 N/m
12.42 N/m
15 N/m
20 N/m
2

A plane sheet has a surface charge density \( \sigma = 3.54 \times 10^{-11} \, \text{C/m}^2 \). What is the electric field magnitude near it?

\( E = \frac{\sigma}{2 \varepsilon_0} \).

\( E = \frac{3.54 \times 10^{-11}}{2 \times 8.854 \times 10^{-12}} = 2 \, \text{N/C} \).

\( 1.5 \, \text{N/C} \)
\( 2.0 \, \text{N/C} \)
\( 2.5 \, \text{N/C} \)
\( 3.0 \, \text{N/C} \)
2

A tank of water (refractive index = 1.33) has a depth of \( 20 \, \text{cm} \). What is the apparent depth when viewed normally?

Apparent depth = \( \frac{\text{real depth}}{n} \).

Real depth = \( 20 \, \text{cm} \), \( n = 1.33 \).

Apparent depth = \( \frac{20}{1.33} \approx 15.04 \, \text{cm} \).

12 cm
15 cm
18 cm
20 cm
2

A transverse wave travels on a string with tension 50 N and linear mass density 0.02 kg/m. What is the wavelength if the frequency is 25 Hz?

Speed: \( v = \sqrt{\frac{T}{\mu}} = \sqrt{\frac{50}{0.02}} = \sqrt{2500} = 50 \, \text{m/s} \).

Wavelength: \( \lambda = \frac{v}{v} = \frac{50}{25} = 2 \, \text{m} \).

1 m
2 m
3 m
4 m
2

A train moving at \( 36 \, \text{km/h} \) accelerates at \( 0.5 \, \text{m/s}^2 \) for \( 20 \, \text{s} \), then decelerates at \( 1 \, \text{m/s}^2 \) to rest. What is the total distance covered?

Initial speed: \( 36 \, \text{km/h} = 10 \, \text{m/s} \).

Phase 1: \( v = 10 + 0.5 \cdot 20 = 20 \, \text{m/s} \), \( x_1 = 10 \cdot 20 + \frac{1}{2} \cdot 0.5 \cdot (20)^2 = 200 + 100 = 300 \, \text{m} \).

Phase 2: \( t = \frac{20}{1} = 20 \, \text{s} \), \( x_2 = 20 \cdot 20 - \frac{1}{2} \cdot 1 \cdot (20)^2 = 400 - 200 = 200 \, \text{m} \).

Total = \( 300 + 200 = 500 \, \text{m} \).

450 m
550 m
500 m
480 m
3

In a double-slit experiment, what is the distance of the second bright fringe from the central maximum if \( \lambda = 500 \, \text{nm} \), \( d = 0.2 \, \text{mm} \), and \( D = 1.0 \, \text{m} \)?

Distance \( x_n = \frac{n \lambda D}{d} \). For the second bright fringe, \( n = 2 \).

\( \lambda = 5.0 \times 10^{-7} \, \text{m} \), \( d = 2.0 \times 10^{-4} \, \text{m} \), \( D = 1.0 \, \text{m} \).

\( x_2 = \frac{2 \times 5.0 \times 10^{-7} \times 1.0}{2.0 \times 10^{-4}} = 5.0 \times 10^{-3} \, \text{m} = 5.0 \, \text{mm} \).

2.5 mm
3.0 mm
4.0 mm
5.0 mm
4

Light of frequency \( 5.0 \times 10^{14} \, \text{Hz} \) is incident on a metal surface with work function \( 1.8 \, \text{eV} \). What is the maximum speed of emitted electrons? (Take \( h = 6.63 \times 10^{-34} \, \text{J s} \), \( m_e = 9.11 \times 10^{-31} \, \text{kg} \))

\( E = h v = 6.63 \times 10^{-34} \times 5.0 \times 10^{14} = 3.315 \times 10^{-19} \, \text{J} \).

\( E = \frac{3.315 \times 10^{-19}}{1.6 \times 10^{-19}} \approx 2.07 \, \text{eV} \).

\( K_{\max} = E - \phi_0 = 2.07 - 1.8 = 0.27 \, \text{eV} = 0.27 \times 1.6 \times 10^{-19} = 4.32 \times 10^{-20} \, \text{J} \).

\( K_{\max} = \frac{1}{2} m v_{\max}^2 \Rightarrow v_{\max} = \sqrt{\frac{2 K_{\max}}{m}} = \sqrt{\frac{2 \times 4.32 \times 10^{-20}}{9.11 \times 10^{-31}}} \approx 3.08 \times 10^5 \, \text{m/s} \).

2.8 × 10⁵ m/s
3.0 × 10⁵ m/s
3.5 × 10⁵ m/s
3.08 × 10⁵ m/s
4

Light of wavelength \( 350 \, \text{nm} \) is incident on a metal with work function \( 2.0 \, \text{eV} \). What is the stopping potential? (Take \( h c = 1240 \, \text{eV nm} \))

\( E = \frac{h c}{\lambda} = \frac{1240}{350} \approx 3.54 \, \text{eV} \).

\( K_{\max} = E - \phi_0 = 3.54 - 2.0 = 1.54 \, \text{eV} \).

\( V_0 = \frac{K_{\max}}{e} = 1.54 \, \text{V} \).

1.2 V
1.4 V
1.54 V
1.6 V
3

A projectile is launched at \( 10 \, \text{m/s} \) at \( 37^\circ \). What is its vertical velocity after \( 1 \, \text{s} \)? (Take \( g = 10 \, \text{m/s}^2, \sin 37^\circ = 0.6 \))

Vertical velocity \( v_y = v_0 \sin \theta_0 - g t \).

Given: \( v_0 = 10 \, \text{m/s}, \sin 37^\circ = 0.6, t = 1 \, \text{s}, g = 10 \, \text{m/s}^2 \).

\( v_y = 10 \times 0.6 - 10 \times 1 = 6 - 10 = -4 \, \text{m/s} \).

6 m/s
-4 m/s
0 m/s
10 m/s
2

An electron in a hydrogen atom is excited to \( n = 3 \) and then falls to \( n = 1 \). What is the maximum energy of the emitted photon? (Use \( E_n = -\frac{13.6}{n^2} \, \text{eV} \))

Maximum energy from \( n = 3 \) to \( n = 1 \).

\( E_3 = -1.51 \, \text{eV} \), \( E_1 = -13.6 \, \text{eV} \).

\( \Delta E = 12.09 \, \text{eV} \).

10.2 eV
1.89 eV
2.55 eV
12.09 eV
4

What is the nuclear density if a nucleus has a mass of \( 9.27 \times 10^{-26} \, \text{kg} \) and volume of \( 4.05 \times 10^{-44} \, \text{m}^3 \)?

Density = \( \frac{\text{mass}}{\text{volume}} \).

\( \frac{9.27 \times 10^{-26}}{4.05 \times 10^{-44}} \approx 2.29 \times 10^{17} \, \text{kg/m}^3 \).

2.00 × 10¹⁷ kg/m³
2.10 × 10¹⁷ kg/m³
2.29 × 10¹⁷ kg/m³
2.50 × 10¹⁷ kg/m³
3

A \( 0.3 \, \text{kg} \) stone is whirled at \( 50 \, \text{rev/min} \) in a circle of radius \( 2 \, \text{m} \) with a \( 5 \, \text{N} \) tangential force. What is the net force at that instant?

Centripetal force: \( F_c = m \omega^2 r \), \( \omega = 50 \times \frac{2\pi}{60} = \frac{5\pi}{3} \, \text{rad/s} \).

\( \omega^2 = \left(\frac{5\pi}{3}\right)^2 = \frac{25\pi^2}{9} \).

\( F_c = 0.3 \times \frac{25\pi^2}{9} \times 2 \approx 0.3 \times 54.74 \approx 16.42 \, \text{N} \).

Tangential force = \( 5 \, \text{N} \).

Net force \( F = \sqrt{(F_c)^2 + (F_t)^2} = \sqrt{(16.42)^2 + (5)^2} \approx \sqrt{269.62 + 25} \approx 17.16 \, \text{N} \).

15 N
17.2 N
20 N
22 N
2

Which process balances diffusion current in a p-n junction at equilibrium?

At equilibrium, the diffusion current due to carrier concentration gradients is balanced by the drift current caused by the electric field in the depletion region, resulting in no net current.

Drift current
Recombination current
Generation current
Breakdown current
1

A \( 5 \, \text{kg} \) block on a \( 37^\circ \) incline (\( \mu_k = 0.2 \)) is pulled upward by a \( 7 \, \text{kg} \) mass over a pulley. What is the tension? (Take \( g = 10 \, \text{m/s}^2 \), \( \sin 37^\circ = 0.6 \), \( \cos 37^\circ = 0.8 \))

For \( 7 \, \text{kg} \): \( 7g - T = 7a \Rightarrow 70 - T = 7a \).

For \( 5 \, \text{kg} \): \( T - mg \sin 37^\circ - f_k = 5a \).

\( N = mg \cos 37^\circ = 5 \times 10 \times 0.8 = 40 \, \text{N} \).

Friction: \( f_k = 0.2 \times 40 = 8 \, \text{N} \).

\( mg \sin 37^\circ = 50 \times 0.6 = 30 \, \text{N} \).

Net force: \( T - 30 - 8 = 5a \Rightarrow T - 38 = 5a \).

Solve: \( 70 - T = 7a \), \( T - 38 = 5a \).

Substitute: \( 70 - (5a + 38) = 7a \Rightarrow 70 - 38 - 5a = 7a \Rightarrow 32 = 12a \).

\( a = \frac{32}{12} \approx 2.67 \, \text{m/s}^2 \).

\( T - 38 = 5 \times 2.67 \Rightarrow T - 38 \approx 13.35 \Rightarrow T \approx 51.35 \, \text{N} \).

48 N
51.4 N
54 N
57 N
2

Chemistry

The ionic radius of \(F^-\) is larger than that of F because:

Adding an electron to F forms \(F^-\), increasing electron repulsion and decreasing effective nuclear charge, thus increasing radius.

Addition of an electron increases repulsion
Nuclear charge increases
Shielding effect decreases
Proton number increases
1

Which of the following ions achieves a stable octet configuration by gaining one electron?

Chlorine (\( \ce{Cl} \), \( 3s^2 3p^5 \)) has 7 valence electrons. Gaining one electron forms \( \ce{Cl^-} \) (\( 3s^2 3p^6 \)), achieving an octet like argon.

\( \ce{Cl^-} \)
\( \ce{Na^+} \)
\( \ce{Ca^2+} \)
\( \ce{Al^3+} \)
1

Which compound involves ionic bonding between a group 2 element and a group 17 element?

\( \ce{MgCl2} \) forms by electron transfer from magnesium (group 2) to chlorine (group 17), creating \( \ce{Mg^2+} \) and \( \ce{Cl^-} \).

\( \ce{H2O} \)
\( \ce{MgCl2} \)
\( \ce{CH4} \)
\( \ce{NH3} \)
2

Calculate the heat absorbed by 18 g of water to vaporize at 373 K, given \(\Delta_{vap} H^\circ = 40.79 kJ/mol\) (molar mass of water = 18 g/mol).

Moles = \(18 / 18 = 1 mol\). Heat absorbed = \(n \times \Delta_{vap} H^\circ = 1 \times 40.79 = 40.79 kJ\).

20.40 kJ
40.79 kJ
81.58 kJ
37.69 kJ
2

For an exothermic reaction \( \ce{A <=> B} \), adding a catalyst will:

A catalyst increases the rate of both forward and reverse reactions equally, not affecting the equilibrium position.

Shift to products
Shift to reactants
Increase \( K_c \)
Not affect equilibrium
4

What is the oxidation number of Cl in \( \ce{ClO3^-} \)?

O is -2, total charge is -1. Let Cl be \( x \): \( x + 3(-2) = -1 \), \( x - 6 = -1 \), \( x = +5 \).

+3
+4
+6
+5
4

In the Dumas method, 0.5 g of a compound gave 112 mL of \( \ce{N2} \) at STP. What is the percentage of nitrogen? (Atomic mass: N = 14)

Mass of \( \ce{N2} = \frac{28 \times 112}{22400} = 0.14 \) g. Mass of N = 0.14 g. Percentage = \( \frac{0.14 \times 100}{0.5} = 28\% \).

26.0%
27.0%
29.0%
28.0%
4

What is the degree of dissociation of 0.025 M methanoic acid if its molar conductivity is 46.1 S cm² mol⁻¹, given \( \lambda^0(\text{H}^+) = 349.6 \, \text{S cm}^2 \text{mol}^{-1} \) and \( \lambda^0(\text{HCOO}^-) = 54.6 \, \text{S cm}^2 \text{mol}^{-1} \)?

\( \Lambda_m^0 = 349.6 + 54.6 = 404.2 \, \text{S cm}^2 \text{mol}^{-1} \).

\( \alpha = \frac{\Lambda_m}{\Lambda_m^0} = \frac{46.1}{404.2} \approx 0.114 \).

0.057
0.228
0.114
0.342
3

The rate law of a reaction is \( \ce{Rate = k[A][B]^2} \). If [A] is doubled and [B] is halved, what happens to the rate?

Initial rate = \( k[\ce{A}][\ce{B}]^2 \), new rate = \( k(2[\ce{A}])(0.5[\ce{B}])^2 = k \times 2[\ce{A}] \times 0.25[\ce{B}]^2 = 0.5k[\ce{A}][\ce{B}]^2 \).

Rate decreases by a factor of 0.5.

Decreases to half
Remains unchanged
Increases 2 times
Decreases to one-fourth
1

Which of the following is a purine base?

Adenine is a purine base (two-ring structure) found in both DNA and RNA, unlike pyrimidine bases (single-ring) like thymine or uracil.

Thymine
Uracil
Adenine
Cytosine
3

Which compound exhibits metamerism with \( \ce{CH3CH2OCH2CH3} \)?

\( \ce{CH3CH2OCH2CH3} \) (diethyl ether) has the formula \( \ce{C4H10O} \). \( \ce{CH3OCH2CH2CH3} \) (methyl propyl ether) has the same formula but different alkyl groups around the ether oxygen.

\( \ce{CH3CH2CH2OH} \)
\( \ce{CH3OCH2CH2CH3} \)
\( \ce{CH3CH=CH2} \)
\( \ce{CH3COCH3} \)
2

Calculate \(\Delta G^\circ\) for a reaction at 298 K if \(K = 1000\) (R = 8.314 J/mol·K).

\(\Delta G^\circ = -RT \ln K = -8.314 \times 298 \times \ln(1000) = -17147 J/mol = -17.15 kJ/mol\).

-8.57 kJ/mol
17.15 kJ/mol
-5.704 kJ/mol
-17.15 kJ/mol
4

Which molecule exhibits intermolecular hydrogen bonding in its liquid state?

\( \ce{H2O} \) forms intermolecular hydrogen bonds between hydrogen and oxygen of different molecules, unlike \( \ce{CH4} \) or \( \ce{Cl2} \).

\( \ce{CH4} \)
\( \ce{Cl2} \)
\( \ce{N2} \)
\( \ce{H2O} \)
4

What is the electronic configuration of chromium (Z = 24), considering its exceptional stability?

Chromium’s configuration is 1s² 2s² 2p⁶ 3s² 3p⁶ 3d⁵ 4s¹ instead of 3d⁴ 4s² due to the extra stability of a half-filled 3d subshell.

1s² 2s² 2p⁶ 3s² 3p⁶ 3d⁴ 4s²
1s² 2s² 2p⁶ 3s² 3p⁶ 4s²
1s² 2s² 2p⁶ 3s² 3p⁶ 3d⁶
1s² 2s² 2p⁶ 3s² 3p⁶ 3d⁵ 4s¹
4

What is the mass of one mole of ethanol (C₂H₅OH)? (Atomic masses: C = 12, H = 1, O = 16)

Molar mass = (2 × 12) + (6 × 1) + 16 = 46 g/mol.

40 g/mol
42 g/mol
44 g/mol
46 g/mol
4

What is the pH of a 0.001 M \( \ce{Ba(OH)2} \) solution, assuming complete dissociation?

\( [\ce{OH-}] = 2 \times 0.001 = 0.002 \) M, \( \text{pOH} = -\log(0.002) \approx 2.7 \).

\( \text{pH} = 14 - 2.7 = 11.3 \).

10.0
11.3
12.0
2.7
2

In combustion analysis, 0.36 g of a compound gave 0.36 g of \( \ce{H2O} \). What is the percentage of hydrogen? (Atomic masses: H = 1, O = 16)

Molar mass of \( \ce{H2O} = 18 \) g/mol. Mass of H = \( \frac{2 \times 0.36}{18} = 0.04 \) g. Percentage = \( \frac{0.04 \times 100}{0.36} = 11.11\% \).

10.0%
10.5%
11.0%
11.1%
4

The Henry's law constant for a gas in water is \( 4 \times 10^4 \, \text{bar} \) at 298 K. What is the mole fraction of the gas under a partial pressure of 2 bar?

\( p = K_H \cdot x \).

\( 2 = 4 \times 10^4 \cdot x \).

\( x = \frac{2}{4 \times 10^4} = 5 \times 10^{-5} \).

1 × 10⁻⁴
2.5 × 10⁻⁵
5 × 10⁻⁵
2 × 10⁻⁴
3

What is the molar conductivity at infinite dilution for MgSO₄ if the ionic molar conductivities of Mg²⁺ and SO₄²⁻ are 106.0 S cm² mol⁻¹ and 160.0 S cm² mol⁻¹ respectively?

Kohlrausch’s law: \( \Lambda_m^0 = \lambda_{\text{Mg}^{2+}}^0 + \lambda_{\text{SO}_4^{2-}}^0 \).

\( \Lambda_m^0 = 106.0 + 160.0 = 266.0 \, \text{S cm}^2 \text{mol}^{-1} \).

266.0 S cm² mol⁻¹
212.0 S cm² mol⁻¹
320.0 S cm² mol⁻¹
160.0 S cm² mol⁻¹
1

The rate constant of a reaction is \( 3.0 \times 10^{-3} \, \ce{s^{-1}} \) at 25°C and \( E_a = 62 \, \ce{kJ mol^{-1}} \). What is the rate constant at 35°C? (R = 8.314 J/mol·K)

\( \log \frac{k_2}{3.0 \times 10^{-3}} = \frac{62000}{2.303 \times 8.314} \left( \frac{10}{298 \times 308} \right) = 0.352 \).

\( k_2 = 3.0 \times 10^{-3} \times 10^{0.352} = 6.75 \times 10^{-3} \approx 6.8 \times 10^{-3} \).

\( 4.5 \times 10^{-3} \)
\( 9.0 \times 10^{-3} \)
\( 6.8 \times 10^{-3} \)
\( 3.0 \times 10^{-3} \)
3

Which lanthanoid ion has a \( 4f^7 \) configuration and exhibits paramagnetism?

Gd (Z = 64) forms \( \ce{Gd^{3+}} \) with \( 4f^7 \), having 7 unpaired electrons, making it paramagnetic.

\( \ce{Gd^{3+}} \)
\( \ce{Lu^{3+}} \)
\( \ce{Ce^{4+}} \)
\( \ce{La^{3+}} \)
1

Which complex shows ionization isomerism with \( \ce{[Co(NH3)5SO4]Br} \)?

Ionization isomerism involves different ions outside the coordination sphere. \( \ce{[Co(NH3)5Br]SO4} \) is an ionization isomer of \( \ce{[Co(NH3)5SO4]Br} \), as \( \ce{Br^-} \) and \( \ce{SO4^{2-}} \) switch positions.

\( \ce{[Co(NH3)6]Cl3} \)
\( \ce{[Co(NH3)5Cl]Cl2} \)
\( \ce{[Co(en)3]^{3+}} \)
\( \ce{[Co(NH3)5Br]SO4} \)
4

Which of the following is a geminal dihalide?

Geminal dihalides have both halogens attached to the same carbon atom.

\( \ce{CH2Cl2} \)
\( \ce{CH3CHCl2} \)
\( \ce{CCl4} \)
\( \ce{CH3CH2Cl} \)
1

Which reagent is used to convert benzene into benzaldehyde?

The Gattermann-Koch reaction involves carbon monoxide and HCl in the presence of anhydrous \(\ce{AlCl3}\) and \(\ce{CuCl}\) to form benzaldehyde.

Chromic acid
Gattermann-Koch reagent
Tollens' reagent
KMnO4
2

Which of the following compounds will give a positive Schiff’s test?

Schiff’s test is used to detect aldehydes. Aldehydes react with Schiff’s reagent to give a pink or magenta color, while ketones do not.

Acetone
Benzophenone
Acetaldehyde
Cyclohexanone
3

The lanthanoid with the highest atomic number is:

Lutetium (Lu, Z = 71) is the last lanthanoid, with the highest atomic number in the series.

Ce
Gd
Lu
Eu
3

For the reaction \( \ce{A + 2B -> 3C} \), the rate of formation of C is \( 1.5 \times 10^{-3} \, \ce{mol L^{-1} s^{-1}} \). What is the rate of disappearance of B?

Rate = \( -\frac{\Delta[\ce{A}]}{\Delta t} = -\frac{1}{2} \frac{\Delta[\ce{B}]}{\Delta t} = \frac{1}{3} \frac{\Delta[\ce{C}]}{\Delta t} \).

\( \frac{\Delta[\ce{C}]}{\Delta t} = 1.5 \times 10^{-3} \), so \( -\frac{\Delta[\ce{B}]}{\Delta t} = \frac{2}{3} \times 1.5 \times 10^{-3} = 1.0 \times 10^{-3} \).

\( 5.0 \times 10^{-4} \)
\( 1.0 \times 10^{-3} \)
\( 1.5 \times 10^{-3} \)
\( 2.0 \times 10^{-3} \)
2

Which among the following hydrocarbons is most reactive?

Alkynes are more reactive than alkenes and alkanes due to the presence of a triple bond.

Alkanes
Alkenes
Alkynes
Aromatic hydrocarbons
3

Which purification technique is best suited for separating a mixture of liquids based on their adsorption properties?

Chromatography separates compounds based on their differential adsorption on a stationary phase (e.g., silica) and movement with a mobile phase.

Chromatography
Simple distillation
Steam distillation
Crystallisation
1

What is the mass percentage of sulfur in Na₂S₂O₃? (Atomic masses: Na = 23, S = 32, O = 16)

Molar mass = (2 × 23) + (2 × 32) + (3 × 16) = 46 + 64 + 48 = 158 g/mol.

Mass of S = 2 × 32 = 64 g.

% S = (64 / 158) × 100 ≈ 40.51%.

40.51%
38%
42%
45%
1

Which atomic model could not explain the stability of an atom due to electron radiation?

Rutherford’s model likened electrons to planets orbiting the nucleus, but classical mechanics predicts they would radiate energy and collapse, failing to explain stability.

Rutherford model
Thomson model
Bohr model
Quantum mechanical model
1

Which of the following ions has a \( 3d^7 \) configuration?

Co (Z = 27) has \( 3d^7 4s^2 \). For \( \ce{Co^{2+}} \), 2 electrons from 4s are lost, leaving \( 3d^7 \).

\( \ce{Co^{2+}} \)
\( \ce{Fe^{2+}} \)
\( \ce{Ni^{2+}} \)
\( \ce{Mn^{3+}} \)
1

Which ligand is strongest in the spectrochemical series among the following?

The spectrochemical series orders ligands by field strength: \( \ce{I^-} < \ce{Cl^-} < \ce{H2O} < \ce{CN^-} \). \( \ce{CN^-} \) is the strongest field ligand here.

\( \ce{Cl^-} \)
\( \ce{CN^-} \)
\( \ce{H2O} \)
\( \ce{I^-} \)
2

Which of the following statements about alcohols is incorrect?

Alcohols are generally more acidic than water, but the presence of alkyl groups reduces acidity.

Alcohols form hydrogen bonds
Alcohols have higher boiling points than ethers
Alcohols are more acidic than water
Alcohols are soluble in water
3

Which of the following hydrides is formed by a Group 15 element?

Group 15 elements (ns²np³) form hydrides like NH₃ (nitrogen), unlike Group 1 (LiH), Group 2 (MgH₂), or Group 14 (CH₄).

LiH
MgH₂
NH₃
CH₄
3

For \( \ce{N2(g) + 3H2(g) <=> 2NH3(g)} \), removing \( \ce{NH3} \) will:

By Le Chatelier’s principle, removing \( \ce{NH3} \) shifts the equilibrium to the right to produce more \( \ce{NH3} \).

Shift to reactants
No effect
Decrease \( K_c \)
Shift to products
4

Which of the following compounds will show geometrical isomerism?

Alkenes of the type \( \ce{C=C} \) with two different groups attached to each carbon exhibit geometrical isomerism.

\( \ce{CH3CH=CHCH3} \)
\( \ce{CH2=CH2} \)
\( \ce{C6H6} \)
\( \ce{CH3C≡CH} \)
1

A gas has a solubility of 0.015 mol/L in water at a partial pressure of 3 bar at 298 K. What is the Henry's law constant (\( K_H \)) in bar?

Henry's law: \( p = K_H \cdot \text{solubility (in molarity)} \).

\( K_H = \frac{p}{\text{solubility}} = \frac{3}{0.015} = 200 \, \text{bar} \).

200 bar
100 bar
300 bar
50 bar
1

What is the hybridization of the carbon atom in an allylic halide?

In allylic halides, the halogen is attached to an sp3-hybridized carbon adjacent to a carbon-carbon double bond.

sp
sp2
sp3
None of these
3

Which reaction is used to introduce an -OH group at the ortho position of phenol?

Kolbe’s reaction involves the reaction of sodium phenoxide with CO2 to introduce an -OH group at the ortho position.

Friedel-Crafts alkylation
Reimer-Tiemann reaction
Kolbe’s reaction
Williamson synthesis
3

What is the product when \( \ce{(CH3)2NH} \) reacts with \( \ce{HNO2} \)?

Secondary amines like \( \ce{(CH3)2NH} \) react with \( \ce{HNO2} \) to form yellow oily N-nitrosoamines, \( \ce{(CH3)2N-N=O} \), without gas evolution.

\( \ce{(CH3)2N-OH} \)
\( \ce{CH3NH2} \)
\( \ce{(CH3)2NH2+NO-} \)
\( \ce{(CH3)2N-N=O} \)
4

Which of the following vitamins is also known as ascorbic acid?

Vitamin C, a water-soluble vitamin, is chemically known as ascorbic acid and prevents scurvy by aiding collagen synthesis.

Vitamin C
Vitamin A
Vitamin B1
Vitamin D
1

How many grams of ethylene glycol (\( \ce{C2H6O2} \)) are required to depress the freezing point of 300 g of water by 1.24 K? (\( K_f = 1.86 \, \text{K kg/mol}, \text{Molar mass of ethylene glycol} = 62 \, \text{g/mol} \))

\( \Delta T_f = K_f \cdot m \).

\( 1.24 = 1.86 \cdot m \), \( m = 0.667 \, \text{mol/kg} \).

Moles = \( 0.667 \times 0.3 = 0.2 \, \text{mol} \).

Mass = \( 0.2 \times 62 = 12.4 \, \text{g} \).

6.2 g
18.6 g
31.0 g
12.4 g
4

Which of the following amines reacts with \( \ce{CH3COCl} \) to form an amide?

Primary amines like \( \ce{CH3CH2NH2} \) react with acetyl chloride (\( \ce{CH3COCl} \)) to form amides (\( \ce{CH3CONHCH2CH3} \)), while tertiary amines do not.

\( \ce{(CH3)3N} \)
\( \ce{CH3CH2NH2} \)
\( \ce{(CH3CH2)3N} \)
\( \ce{C6H5N(CH3)2} \)
2

What is the molality of a solution containing 8 g of NaOH in 400 g of water? (Molar mass of NaOH = 40 g/mol)

Moles = 8 / 40 = 0.2 mol.

Mass of solvent = 0.4 kg.

Molality = 0.2 / 0.4 = 0.5 m.

0.4 m
0.5 m
0.6 m
0.8 m
2

Botany

Which plastid type is responsible for storing oils and fats?

Chloroplast
Chromoplast
Amyloplast
Elaioplast
4

Elaioplasts are specialized leucoplasts responsible for storing oils and fats in plant cells.

Which of the following is an example of a monocarpic plant?

Mango
Bamboo
Rose
Guava
2

Monocarpic plants, like bamboo, flower once in their lifetime and die after producing seeds.

Which stage of mitosis is characterized by the reappearance of the nuclear envelope?

Prophase
Metaphase
Anaphase
Telophase
4

During telophase, the nuclear envelope reforms around separated chromosome sets, completing nuclear division.

What is the term for the ability of cells to differentiate into specific tissues based on their position within an organ?

Plasticity
Totipotency
Open differentiation
Dedifferentiation
3

Open differentiation refers to the ability of plant cells to develop different structures based on their positional information.

In flowering plants, the structure that contains the ovules is known as the:

Stamen
Petal
Ovary
Sepal
3

The ovary is the part of the carpel that encloses the ovules and later develops into a fruit after fertilization.

Which age pyramid shape indicates a rapidly growing population?

Inverted pyramid
Bell-shaped pyramid
Triangular pyramid with a broad base
Pyramid with a narrow base
3

A broad-based triangular age pyramid indicates a high birth rate and a rapidly growing population.

Which law of inheritance states that alleles separate independently during gamete formation?

Law of Segregation
Law of Independent Assortment
Law of Dominance
Hardy-Weinberg Law
2

The Law of Independent Assortment states that different gene pairs assort independently during gamete formation.

Which of the following statements about a dihybrid cross is correct?

It studies the inheritance of two genes simultaneously.
It follows only the Law of Segregation.
It involves only one pair of contrasting traits.
It always produces offspring with identical phenotypes.
1

A dihybrid cross studies the inheritance of two different genes at the same time.

Which part of a flowering plant is primarily responsible for food storage?

Root
Stem
Leaves
All of the above
4

Food storage occurs in different parts of plants, including roots (carrot), stems (potato), and leaves (cabbage).

What is the primary purpose of biological classification?

To create scientific names for organisms
To understand evolutionary relationships
To categorize organisms into convenient groups
To identify new species only
3

Classification helps categorize organisms into convenient groups based on shared characteristics.

Which of the following is a characteristic feature of isobilateral (monocot) leaves?

Stomata are present only on the lower epidermis
Mesophyll is differentiated into palisade and spongy layers
Bulliform cells help in rolling the leaves
Parallel venation is absent
3

Bulliform cells in monocot leaves help in rolling the leaves during water stress to minimize water loss.

What is the primary function of the rough endoplasmic reticulum?

Lipid synthesis
Protein synthesis
ATP production
Detoxification
2

The rough endoplasmic reticulum, with ribosomes attached, is primarily involved in protein synthesis.

In which phase of meiosis does crossing over occur?

Prophase I
Metaphase I
Anaphase I
Prophase II
1

Crossing over occurs during prophase I of meiosis, allowing genetic recombination between homologous chromosomes.

In which cell organelle does photorespiration partly occur?

Chloroplast
Peroxisome
Mitochondrion
All of the above
4

Photorespiration involves three organelles: chloroplast, peroxisome, and mitochondrion.

What is the final phase of the plant growth curve where growth rate declines and stabilizes?

Lag phase
Log phase
Stationary phase
Elongation phase
3

In the stationary phase, the growth rate declines and stabilizes, marking the final phase of the sigmoid curve.

Which of the following is a function of rRNA?

Carries genetic information from DNA.
Transports amino acids to the ribosome.
Forms the structural and catalytic part of ribosomes.
Acts as a template for DNA replication.
3

rRNA forms the structural and catalytic part of ribosomes, playing a key role in translation.

Which of the following correctly describes a test cross?

A cross between two dominant individuals
A cross between an unknown genotype and a homozygous recessive
A cross between two recessive individuals
A cross between two heterozygous individuals
2

A test cross helps determine an unknown genotype by crossing with a homozygous recessive.

What is the significance of double fertilization in angiosperms?

It ensures the formation of two zygotes.
It results in the formation of a diploid embryo and a triploid endosperm.
It produces an embryo and a seed coat.
It prevents the occurrence of genetic variation.
2

Double fertilization is unique to flowering plants; one sperm fuses with the egg to form a diploid zygote, while the other fuses with the two polar nuclei to form a triploid endosperm, which nourishes the developing embryo.

Which of the following statements about the respiratory quotient (RQ) is CORRECT?

RQ for carbohydrates is 1.
RQ for fats is greater than 1.
RQ for proteins is exactly 2.
RQ has no relation to the type of respiratory substrate.
1

When carbohydrates are used as respiratory substrates, the RQ value is 1.

What is the nature of genetic material in most plant viruses?

Single-stranded RNA
Double-stranded RNA
Double-stranded DNA
Both DNA and RNA
1

Most plant viruses have single-stranded RNA as their genetic material.

How does the presence of stolons help certain plants in vegetative propagation?

They grow upward and produce new flowers
They spread horizontally and form new plants at nodes
They store food and support the parent plant
They protect plants from herbivores
2

Stolons, such as those found in strawberries, grow horizontally and give rise to new plants at nodes, facilitating vegetative propagation.

Which cells in plants regulate transpiration?

Epidermal cells
Guard cells
Xylem vessels
Phloem sieve tubes
2

Guard cells regulate the opening and closing of stomata, thereby controlling transpiration in plants.

Which of the following statements about the cytoskeleton is incorrect?

The cytoskeleton provides structural support to the cell.
The cytoskeleton is composed of microtubules, microfilaments, and intermediate filaments.
The cytoskeleton is involved in intracellular transport.
The cytoskeleton produces ribosomes.
4

The cytoskeleton is not involved in ribosome production; it provides support and aids in cell movement and transport.

What marks the end of telophase in mitosis?

Formation of the cleavage furrow
Nuclear membrane reforms around daughter chromosomes
Chromosomes align at the metaphase plate
Spindle fibers dissolve
2

At the end of telophase, the nuclear membrane reforms around the newly separated daughter chromosomes.

What is the function of ATP and NADPH in the Calvin cycle?

To fix CO₂
To provide energy and reducing power
To generate oxygen
To transport electrons
2

ATP provides energy, and NADPH provides reducing power for the conversion of CO₂ into carbohydrates in the Calvin cycle.

Which of the following statements about tRNA is incorrect?

tRNA contains an anticodon that pairs with mRNA codons.
tRNA carries amino acids to the ribosome.
tRNA is synthesized by RNA polymerase II.
tRNA is involved in translation.
3

tRNA is synthesized by RNA polymerase III, not RNA polymerase II.

Which of the following is NOT a factor affecting population size?

Natality
Mortality
Migration
Climate stability
4

Climate stability does not directly regulate population size, whereas natality, mortality, and migration influence population dynamics.

Which of the following is NOT a major cause of biodiversity loss?

Habitat destruction
Pollution
Increase in mutation rates
Climate change
3

While habitat destruction, pollution, and climate change contribute to biodiversity loss, an increase in mutation rates does not significantly impact biodiversity loss.

Which of the following statements about sex-linked inheritance is incorrect?

Color blindness is an X-linked recessive disorder.
Y-linked traits are only inherited by male offspring.
Females cannot inherit X-linked disorders.
Hemophilia follows an X-linked recessive inheritance pattern.
3

Females can inherit X-linked disorders if they receive two copies of the affected allele.

Which of the following fungal groups is commonly known as 'club fungi'?

Ascomycetes
Basidiomycetes
Phycomycetes
Deuteromycetes
2

Basidiomycetes are known as 'club fungi' because of their club-shaped reproductive structures called basidia.

Which of the following adaptations is most commonly found in floating aquatic plants?

Presence of large, spongy air-filled parenchyma
Development of thick cuticle
Reduced leaf surface
Formation of prop roots
1

Floating aquatic plants have aerenchyma, a specialized parenchyma with air spaces that provide buoyancy.

Which type of simple permanent tissue makes up the majority of the cortex in dicot roots?

Collenchyma
Sclerenchyma
Parenchyma
Xylem
3

The cortex of dicot roots consists mostly of parenchymatous cells, which store food and provide structural support.

Which of the following statements about chromatin is correct?

Chromatin is composed of RNA and lipids.
Chromatin consists of DNA and histone proteins.
Chromatin is found only in prokaryotic cells.
Chromatin produces ATP.
2

Chromatin is a complex of DNA and histone proteins found in the nucleus of eukaryotic cells.

Which of the following structures is absent during prophase?

Nucleolus
Centrosome
Spindle fibers
Chromosomes
1

During prophase, the nucleolus disappears, and the chromatin condenses into visible chromosomes.

Which of the following is a characteristic feature of C₄ plants?

They perform photorespiration at high rates
They have high water-use efficiency
They lack Kranz anatomy
They have a single carbon fixation step
2

C₄ plants have high water-use efficiency due to their ability to minimize photorespiration.

Which compound is the primary electron donor in cellular respiration?

ATP
NADH
Oxygen
FADH₂
2

NADH donates electrons to the electron transport chain, playing a crucial role in cellular respiration.

Which conservation strategy is used for critically endangered species with very small populations?

In situ conservation
Ex situ conservation
Ecosystem restoration
Sustainable development
2

Ex situ conservation, such as captive breeding and botanical gardens, is used for critically endangered species with small populations.

Which of the following statements about invasive species is incorrect?

Invasive species can outcompete native species.
Invasive species always have a positive effect on ecosystems.
Lantana camara is an example of an invasive species in India.
Invasive species can disrupt ecological balance.
2

Invasive species often harm native biodiversity by competing for resources, altering habitats, and disrupting ecological interactions.

Which scientist first isolated DNA and named it ‘Nuclein’?

Rosalind Franklin
Friedrich Miescher
Watson and Crick
Erwin Chargaff
2

Friedrich Miescher first isolated DNA in 1869 and named it ‘Nuclein’.

Which characteristic is common to both liverworts and hornworts?

Presence of protonema
Gemma cup formation
Thalloid body structure
Vascular tissue
3

Both liverworts and hornworts have a thalloid body structure, but only liverworts have gemma cups.

Which type of root modification is observed in plants like Asparagus for storage of food?

Pneumatophores
Prop roots
Fasciculated roots
Tuberous roots
3

Fasciculated roots, as seen in Asparagus, are swollen roots occurring in clusters and function in food storage.

Which genetic principle is demonstrated when heterozygous individuals express a phenotype intermediate between the two homozygous parents?

Complete dominance
Incomplete dominance
Co-dominance
Pleiotropy
2

Incomplete dominance occurs when heterozygous individuals show a phenotype that is intermediate between two homozygous parents, as seen in snapdragon flower color.

Which of the following components is NOT directly involved in the process of translation?

Ribosome
mRNA
tRNA
DNA
4

DNA is not directly involved in translation; mRNA, tRNA, and ribosomes carry out protein synthesis.

Which of the following statements about biodiversity conservation is correct?

In situ conservation protects species in their natural habitat
Ex situ conservation is always more effective than in situ conservation
Biodiversity hotspots are areas with low species richness
Sacred groves have no role in biodiversity conservation
1

In situ conservation involves protecting species in their natural habitats, such as in national parks and sanctuaries.

What happens to energy as it moves up the trophic levels?

It increases
It remains constant
It decreases
It gets stored
3

Energy decreases as it moves up the trophic levels due to energy loss as heat and metabolic activities, following the 10% law.

Zoology

Which type of blood cells in frogs are nucleated?

Platelets
Leucocytes
Erythrocytes
None of the above
3

Unlike mammals, frog erythrocytes (RBCs) are nucleated and contain hemoglobin.

Which condition is characterized by the destruction of alveolar walls, reducing the respiratory surface area?

Asthma
Emphysema
Pneumonia
Bronchitis
2

Emphysema is a chronic disorder that damages the alveolar walls, reducing the surface area for gas exchange.

What is the purpose of the antibiotic resistance gene in a plasmid vector?

To increase DNA replication
To allow selection of transformed cells
To cut DNA at specific sites
To regulate gene expression
2

Antibiotic resistance genes act as selectable markers, helping identify bacterial cells that have taken up the recombinant plasmid.

Which of the following is correct about RNA interference (RNAi)?

RNAi enhances protein synthesis in cells.
RNAi silences gene expression using double-stranded RNA.
RNAi is used to amplify DNA sequences.
RNAi prevents DNA replication in cells.
2

RNA interference (RNAi) silences specific gene expression by using double-stranded RNA molecules.

Which organ is affected by elephantiasis?

Lungs
Liver
Lymphatic system
Brain
3

Elephantiasis is caused by filarial worms and affects the lymphatic system, leading to severe swelling.

Which organism is considered a living fossil, representing an ancient evolutionary lineage?

Ichthyosaur
Coelacanth
Archaeopteryx
Tyrannosaurus
2

Coelacanth is considered a living fossil, representing an ancient group of lobe-finned fishes.

Which hormone is secreted by the hypothalamus and inhibits the release of growth hormone?

Somatostatin
GHRH
Prolactin
Oxytocin
1

Somatostatin, secreted by the hypothalamus, inhibits the release of growth hormone from the pituitary gland.

Which of the following is incorrect about blood circulation?

Pulmonary circulation carries blood between the heart and lungs.
Systemic circulation delivers oxygenated blood to body tissues.
The right ventricle pumps oxygenated blood into the aorta.
The left atrium receives oxygenated blood from pulmonary veins.
3

The right ventricle pumps deoxygenated blood into the pulmonary artery, not the aorta.

Which of the following is an example of a high-energy molecule used in cellular activities?

Glucose
ATP
NADPH
Both B and C
4

ATP and NADPH are high-energy molecules that provide energy for cellular activities.

Which excretory organ is present in Annelida?

Malpighian tubules
Nephridia
Flame cells
Green glands
2

Nephridia are the excretory organs in annelids, helping in osmoregulation and waste removal.

Which of the following conditions is caused by high levels of urea in the blood due to kidney failure?

Uremia
Diabetes insipidus
Gout
Nephritis
1

Uremia is caused by kidney failure, leading to the accumulation of urea in the blood.

What is the name of the first cervical vertebra?

Axis
Atlas
Lumbar
Sacrum
2

The atlas is the first cervical vertebra, supporting the skull.

Which of the following is a correct statement about amniocentesis?

Amniocentesis is used to determine fetal genetic disorders.
Amniocentesis is a method of contraception.
Amniocentesis prevents pregnancy.
Amniocentesis increases the risk of infertility.
1

Amniocentesis is a diagnostic technique used to detect genetic disorders in a developing fetus.

Which mechanism of evolution involves the recombination of genes during gametogenesis?

Mutation
Genetic Drift
Gene Flow
Genetic Recombination
4

Genetic recombination during gametogenesis increases genetic variability, contributing to evolution.

Which of the following is correct about micropropagation?

Micropropagation produces genetically identical plants through tissue culture.
Micropropagation involves crossing two different plant species.
Micropropagation produces genetically diverse offspring.
Micropropagation is used only in animal cell culture.
1

Micropropagation is a tissue culture technique used to produce large numbers of genetically identical plants from a single tissue or cell.

Which among the following is NOT a mode of HIV transmission?

Unprotected sexual contact
Sharing of needles
Shaking hands with an infected person
Blood transfusion
3

HIV is not transmitted through casual contact like shaking hands; it spreads through blood, sexual fluids, and contaminated needles.

Which receptor mediates the classical genomic actions of estrogen in target tissues?

Estrogen receptor alpha (ERα)
Estrogen receptor beta (ERβ)
Progesterone receptor
Androgen receptor
1

Estrogen receptor alpha (ERα) is a key mediator of estrogen’s genomic actions in target tissues, influencing gene expression and cell function.

Which of the following is an example of a fibrous protein?

Hemoglobin
Collagen
Myoglobin
Insulin
2

Collagen is a fibrous protein that provides structural support in connective tissues.

Which of the following statements about the frog’s circulatory system is incorrect?

Frogs have a three-chambered heart.
The ventricle receives both oxygenated and deoxygenated blood.
Frogs have a single circulation system.
Frogs have a closed circulatory system.
3

Frogs exhibit double circulation, meaning blood passes through the heart twice in one complete cycle.

Which feature is shared by both annelids and arthropods?

Open circulatory system
Chitinous exoskeleton
Metameric segmentation
Pseudocoelom
3

Both annelids and arthropods exhibit metameric segmentation, where the body is divided into repetitive segments.

Which of the following statements about pulmonary ventilation is incorrect?

Inspiration occurs when the diaphragm contracts and moves downward.
Expiration is always an active process.
Intercostal muscles help in expanding the thoracic cavity during inhalation.
During expiration, the lung volume decreases.
2

Normal expiration is a passive process that occurs due to the relaxation of respiratory muscles, not an active one.

Which of the following statements about neurons is incorrect?

Neurons transmit electrical and chemical signals.
Neurons can divide and regenerate easily.
Neurons consist of a cell body, axon, and dendrites.
Neurons require energy to function.
2

Neurons have limited regenerative ability and typically do not divide once they are mature.

Which phase of the menstrual cycle is characterized by high progesterone levels and prepares the endometrium for potential implantation?

Early follicular phase
Ovulatory phase
Luteal phase
Menstrual phase
3

During the luteal phase, the corpus luteum secretes high levels of progesterone to thicken the endometrium for implantation.

Which of the following is an essential feature of a cloning vector?

Lack of replication ability
Presence of antibiotic resistance gene
Ability to degrade foreign DNA
Lack of restriction sites
2

Antibiotic resistance genes in cloning vectors help in the selection of recombinant bacteria by allowing only transformed cells to survive.

Which crop is genetically modified for improved vitamin A content?

Bt cotton
Golden rice
Hybrid wheat
Tomato
2

Golden rice is genetically modified to produce beta-carotene, a precursor of vitamin A, to combat vitamin A deficiency.

Which of the following is NOT a step in recombinant DNA technology?

Isolation of DNA
Ligation of DNA
Separation of proteins using SDS-PAGE
Selection of transformed cells
3

SDS-PAGE is used for protein separation, whereas recombinant DNA technology involves DNA isolation, ligation, and transformation.

Which of the following statements about histamine is correct?

Histamine is released by mast cells during an allergic reaction.
Histamine suppresses inflammation.
Histamine is produced by B-lymphocytes.
Histamine is not involved in immune responses.
1

Histamine is released by mast cells during allergic reactions and causes inflammation.

Which hormone is responsible for increasing hunger?

Leptin
Ghrelin
Insulin
Glucagon
2

Ghrelin, secreted by the stomach, stimulates hunger and increases food intake.

Which of the following statements about polysaccharides is incorrect?

Starch is a storage polysaccharide in plants.
Cellulose is a polymer of glucose.
Glycogen is a structural polysaccharide in animals.
Chitin is a structural polysaccharide in arthropods.
3

Glycogen is a storage polysaccharide in animals, not a structural one.

What type of circulatory system is found in arthropods?

Closed circulatory system
Open circulatory system
Double circulatory system
Water vascular system
2

Arthropods have an open circulatory system, where blood directly bathes tissues and organs.

Which condition in females is associated with an absence of menstrual cycles due to lack of ovarian function?

Amenorrhea
Dysmenorrhea
Menorrhagia
Oligomenorrhea
1

Amenorrhea refers to the absence of menstruation, which can result from ovarian failure or dysfunction.

Which of the following statements is correct?

Hugo de Vries proposed the theory of natural selection.
Ozone layer formation allowed the survival of aquatic life only.
The formation of organic molecules in Miller’s experiment supported chemical evolution.
Homologous organs arise due to convergent evolution.
3

Miller’s experiment provided experimental support for the formation of organic molecules, supporting the theory of chemical evolution.

Which of the following statements about Southern blotting is correct?

Southern blotting is used to detect specific DNA sequences.
Southern blotting does not require gel electrophoresis.
Southern blotting is used to study protein expression.
Southern blotting is not useful in genetic fingerprinting.
1

Southern blotting is a molecular biology technique used to detect specific DNA sequences in a sample.

Which of the following is an essential step to prevent sexually transmitted infections (STIs)?

Avoiding multiple sexual partners
Using intrauterine devices
Practicing unprotected coitus
Avoiding physical activity
1

Avoiding multiple sexual partners and practicing safe sex (e.g., using condoms) are important preventive measures against STIs.

Which protein prevents myosin from binding to actin in a relaxed muscle?

Troponin
Tropomyosin
Myosin
Actin
2

Tropomyosin covers myosin-binding sites on actin filaments in relaxed muscles, preventing contraction.

Which condition results from the accumulation of uric acid crystals in joints?

Gout
Uremia
Diabetes mellitus
Nephritis
1

Gout is caused by the accumulation of uric acid crystals in joints, leading to inflammation and pain.

Which component of blood is mainly involved in blood clotting?

Erythrocytes
Leukocytes
Platelets
Plasma
3

Platelets (thrombocytes) play a crucial role in blood clotting by forming a platelet plug at the site of injury.

Which of the following statements is correct about carbohydrates?

Monosaccharides are the simplest form of carbohydrates.
Polysaccharides are composed of nucleotides.
Cellulose is an energy storage carbohydrate.
Sucrose is a monosaccharide.
1

Monosaccharides are the simplest carbohydrates. Polysaccharides are made of sugar units, not nucleotides. Cellulose is structural, and sucrose is a disaccharide.

Which part of the frog's reproductive system produces sperm?

Ovaries
Testes
Bidder’s canal
Cloaca
2

The testes in male frogs produce sperm, which are released through the urinogenital duct.

Which of the following animals is viviparous?

Pavo
Macaca
Chelone
Psittacula
2

Macaca (monkey) is a mammal and is viviparous, meaning it gives birth to live young.

Which of the following is a characteristic of red muscle fibers?

Low myoglobin content
Few mitochondria
Fatigue-resistant
Primarily anaerobic respiration
3

Red muscle fibers are fatigue-resistant due to high myoglobin and abundant mitochondria, allowing sustained aerobic activity​.

Which part of the brain is the largest and is involved in higher-order functions such as thinking and memory?

Cerebellum
Cerebrum
Midbrain
Medulla oblongata
2

The cerebrum is the largest part of the brain and is responsible for higher cognitive functions like reasoning and memory.

Which immune cells are responsible for antigen presentation to T-lymphocytes?

Macrophages
Neutrophils
Erythrocytes
Basophils
1

Macrophages act as antigen-presenting cells (APCs) by processing and displaying antigens to T-lymphocytes for immune response activation.

What is the main advantage of using Bt toxin in genetically modified crops?

Increased yield
Resistance to insect pests
Drought resistance
Improved nutritional quality
2

Bacillus thuringiensis (Bt) toxin provides resistance to insect pests, reducing the need for chemical pesticides.

Which of the following statements about Southern blotting is correct?

Southern blotting is used to detect specific DNA sequences.
Southern blotting is used to detect proteins.
Southern blotting does not require gel electrophoresis.
Southern blotting is not useful in genetic analysis.
1

Southern blotting is a molecular biology technique used to detect specific DNA sequences in a sample.

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Physics
Chemistry
Botany
Zoology

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180