NEET Full-Length Mock Test 5

NEET Mock Test - 2026

Test 5

Number Of Questions: 180

Time: 3 hours

Correct answer Carries: 4.

Wrong Answer Carries: -1.

3:00:00

Physics

A combination of two lenses in contact has a convex lens (\( f = 40 \, \text{cm} \)) and a concave lens (\( f = 40 \, \text{cm} \)). What is the power of the combination?

\( f_1 = 40 \, \text{cm} = 0.4 \, \text{m} \), \( f_2 = -40 \, \text{cm} = -0.4 \, \text{m} \).

Power: \( P = P_1 + P_2 = \frac{1}{f_1} + \frac{1}{f_2} \).

\( P_1 = \frac{1}{0.4} = 2.5 \, \text{D} \), \( P_2 = \frac{1}{-0.4} = -2.5 \, \text{D} \).

\( P = 2.5 + (-2.5) = 0 \, \text{D} \).

-1 D
1 D
0 D
2 D
3

What is the angular position of the first minimum in a single-slit diffraction pattern if the slit width is \( 5.0 \, \mu\text{m} \) and the wavelength is \( 500 \, \text{nm} \)?

First minimum occurs at \( \sin \theta = \frac{\lambda}{a} \).

\( \lambda = 5.0 \times 10^{-7} \, \text{m} \), \( a = 5.0 \times 10^{-6} \, \text{m} \).

\( \sin \theta = \frac{5.0 \times 10^{-7}}{5.0 \times 10^{-6}} = 0.1 \), \( \theta = \sin^{-1}(0.1) \approx 5.7^\circ \).

10°
5.7°
15°
20°
2

A particle accelerates uniformly from rest to \( 20 \, \text{m/s} \) in \( 5 \, \text{s} \). What is the distance covered?

Find \( a = \frac{v - v_0}{t} = \frac{20 - 0}{5} = 4 \, \text{m/s}^2 \).

Use \( x = v_0 t + \frac{1}{2} a t^2 = 0 \cdot 5 + \frac{1}{2} \cdot 4 \cdot (5)^2 = 0 + 2 \cdot 25 = 50 \, \text{m} \).

The distance covered is \( 50 \, \text{m} \).

25 m
50 m
75 m
100 m
2

A conductor has a resistivity of \( 2 \times 10^{-8} \, \Omega \text{m} \) and \( \alpha = 4 \times 10^{-3} \, ^\circ\text{C}^{-1} \) at \( 20^\circ \text{C} \). What is its resistivity at \( 80^\circ \text{C} \)?

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

Substitute: \( \rho_t = 2 \times 10^{-8} [1 + 4 \times 10^{-3} (80 - 20)] \).

Calculate: \( \rho_t = 2 \times 10^{-8} [1 + 0.24] = 2 \times 10^{-8} \times 1.24 = 2.48 \times 10^{-8} \, \Omega \text{m} \).

\( 2.2 \times 10^{-8} \, \Omega \text{m} \)
\( 2.4 \times 10^{-8} \, \Omega \text{m} \)
\( 2.48 \times 10^{-8} \, \Omega \text{m} \)
\( 2.6 \times 10^{-8} \, \Omega \text{m} \)
3

Two cells in parallel have emf \( 9 \, \text{V} \) and \( 3 \, \text{V} \) with internal resistances \( 3 \, \Omega \) and \( 1 \, \Omega \). What is the equivalent internal resistance?

For parallel: \( \frac{1}{r_{\text{eq}}} = \frac{1}{r_1} + \frac{1}{r_2} = \frac{1}{3} + \frac{1}{1} = \frac{1 + 3}{3} = \frac{4}{3} \).

\( r_{\text{eq}} = \frac{3}{4} = 0.75 \, \Omega \).

\( 0.5 \, \Omega \)
\( 0.75 \, \Omega \)
\( 1.0 \, \Omega \)
\( 1.25 \, \Omega \)
2

A photon has an energy of \( 4.14 \times 10^{-19} \, \text{J} \). What is its frequency? (Take \( h = 6.63 \times 10^{-34} \, \text{J s} \))

Energy of photon \( E = h v \).

\( v = \frac{E}{h} = \frac{4.14 \times 10^{-19}}{6.63 \times 10^{-34}} \approx 6.24 \times 10^{14} \, \text{Hz} \).

6.24 × 10¹⁴ Hz
5.5 × 10¹⁴ Hz
7.0 × 10¹⁴ Hz
8.1 × 10¹⁴ Hz
1

The de Broglie wavelength of a particle with momentum \( 4.0 \times 10^{-24} \, \text{kg m/s} \) is:

\( \lambda = \frac{h}{p} = \frac{6.63 \times 10^{-34}}{4.0 \times 10^{-24}} = 1.6575 \times 10^{-10} \, \text{m} = 0.16575 \, \text{nm} \).

0.15 nm
0.16 nm
0.1658 nm
0.17 nm
3

An alpha-particle with 5.0 MeV kinetic energy approaches a gold nucleus (Z = 79). What is the distance of closest approach? (Use \( \frac{1}{4\pi\epsilon_0} = 9 \times 10^9 \, \text{N·m}^2/\text{C}^2 \), \( e = 1.6 \times 10^{-19} \, \text{C} \), 1 MeV = \( 1.6 \times 10^{-13} \, \text{J} \))

\( d = \frac{2Ze^2}{4\pi\epsilon_0 K} \).

\( K = 5.0 \times 1.6 \times 10^{-13} = 8.0 \times 10^{-13} \, \text{J} \).

\( d = \frac{2 \times 79 \times (1.6 \times 10^{-19})^2 \times 9 \times 10^9}{8.0 \times 10^{-13}} \).

\( d = \frac{3.641 \times 10^{-28}}{8.0 \times 10^{-13}} \approx 4.55 \times 10^{-14} \, \text{m} \approx 46 \, \text{fm} \).

46 fm
40 fm
50 fm
55 fm
1

A wire of length \( 5 \, \text{m} \) and cross-sectional area \( 4 \times 10^{-6} \, \text{m}^2 \) has a resistance of \( 10 \, \Omega \). What is the resistivity of the material?

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

Rearrange: \( \rho = \frac{R A}{l} \).

Substitute: \( \rho = \frac{10 \times 4 \times 10^{-6}}{5} = 8 \times 10^{-6} \, \Omega \text{m} \).

\( 8.0 \times 10^{-6} \, \Omega \text{m} \)
\( 9.0 \times 10^{-6} \, \Omega \text{m} \)
\( 10.0 \times 10^{-6} \, \Omega \text{m} \)
\( 12.0 \times 10^{-6} \, \Omega \text{m} \)
1

Two capacitors of \( 25 \, \text{pF} \) and \( 50 \, \text{pF} \) are connected in series. What is the equivalent capacitance?

\( \frac{1}{C} = \frac{1}{25} + \frac{1}{50} = \frac{2 + 1}{50} = \frac{3}{50} \).

\( C = \frac{50}{3} \approx 16.67 \, \text{pF} \).

15 pF
16.67 pF
18 pF
20 pF
2

A \( 0.35 \, \text{kg} \) brass block at \( 180^\circ \text{C} \) is placed in \( 0.9 \, \text{kg} \) water at \( 22^\circ \text{C} \) in a \( 0.15 \, \text{kg} \) iron calorimeter at \( 22^\circ \text{C} \). What is the final temperature? (Specific heat of brass = \( 386 \, \text{J kg}^{-1} \text{K}^{-1} \), water = \( 4186 \, \text{J kg}^{-1} \text{K}^{-1} \), iron = \( 450 \, \text{J kg}^{-1} \text{K}^{-1} \))

Heat lost = Heat gained.

\( 0.35 \times 386 \times (180 - T) = (0.9 \times 4186 + 0.15 \times 450) \times (T - 22) \).

\( 24309 - 135.1 T = (3767.4 + 67.5) \times (T - 22) = 3834.9 T - 84336.8 \).

\( 24309 + 84336.8 = 3834.9 T + 135.1 T \).

\( 108645.8 = 3970 T \Rightarrow T \approx 27.36^\circ \text{C} \approx 27.4^\circ \text{C} \).

27.4°C
27°C
28°C
26°C
1

A car moving at \( 70 \, \text{m/s} \) decelerates uniformly to rest over \( 175 \, \text{m} \). What is the time taken to stop?

Use \( v^2 = v_0^2 + 2 a x \) to find \( a \): \( 0 = (70)^2 + 2 a (175) \Rightarrow 0 = 4900 + 350 a \Rightarrow a = -14 \, \text{m/s}^2 \).

Then, \( v = v_0 + a t \): \( 0 = 70 - 14 t \Rightarrow t = 5 \, \text{s} \).

The time taken is \( 5 \, \text{s} \).

4 s
6 s
7 s
5 s
4

What is the binding energy of a nucleus with a mass defect of \( 0.08 \, \text{u} \)? (Given \( 1 \, \text{u} = 931.5 \, \text{MeV/c}^2 \))

Binding energy = \( \Delta M \cdot c^2 \).

\( \Delta M = 0.08 \, \text{u} \).

\( E_b = 0.08 \times 931.5 = 74.52 \, \text{MeV} \).

74.52 MeV
93.15 MeV
46.58 MeV
149.04 MeV
1

What is the approximate mass number of a nucleus with radius \( 4.8 \times 10^{-15} \, \text{m} \)? (Given \( R_0 = 1.2 \times 10^{-15} \, \text{m} \))

\( R = R_0 A^{1/3} \).

\( 4.8 \times 10^{-15} = 1.2 \times 10^{-15} \times A^{1/3} \).

\( A^{1/3} = \frac{4.8}{1.2} = 4 \).

\( A = 4^3 = 64 \).

27
40
64
91
3

What physical quantity is zero at the maximum height of a projectile’s trajectory?

At the maximum height of a projectile’s trajectory, the vertical component of velocity (\( v_y \)) is zero because the object momentarily stops moving upward before descending, while the horizontal component remains unchanged.

Horizontal velocity
Vertical velocity
Total velocity
Acceleration
2

What is the Fahrenheit equivalent of \( 50^\circ \text{C} \)?

Relation: \( t_F = \frac{9}{5} t_C + 32 \).

\( t_F = \frac{9}{5} \times 50 + 32 = 90 + 32 = 122^\circ \text{F} \).

120°F
122°F
125°F
118°F
2

A copper wire carries \( 6 \, \text{A} \) with a drift speed of \( 1.2 \times 10^{-4} \, \text{m/s} \). If \( n = 8.5 \times 10^{28} \, \text{m}^{-3} \) and \( e = 1.6 \times 10^{-19} \, \text{C} \), what is the cross-sectional area?

Drift speed: \( v_d = \frac{I}{n e A} \).

Rearrange: \( A = \frac{I}{n e v_d} \).

Substitute: \( A = \frac{6}{8.5 \times 10^{28} \times 1.6 \times 10^{-19} \times 1.2 \times 10^{-4}} \).

Calculate: \( A = \frac{6}{1.632 \times 10^5} \approx 3.68 \times 10^{-5} \, \text{m}^2 \).

\( 3.2 \times 10^{-5} \, \text{m}^2 \)
\( 3.5 \times 10^{-5} \, \text{m}^2 \)
\( 3.6 \times 10^{-5} \, \text{m}^2 \)
\( 3.68 \times 10^{-5} \, \text{m}^2 \)
4

In a new system, the unit of mass is \( 0.1 \, \text{kg} \), length is \( 2 \, \text{m} \), and time is \( 0.5 \, \text{s} \). What is the value of \( 1 \, \text{N} \) (\( \text{kg m s}^{-2} \)) in this system?

\( 1 \, \text{N} = 1 \, \text{kg m s}^{-2} \).

New units: \( \text{kg} = 0.1 \alpha \), \( \text{m} = 2 \beta \), \( \text{s} = 0.5 \gamma \).

\( 1 \, \text{N} = (0.1 \alpha) (2 \beta) (0.5 \gamma)^{-2} = 0.1 \times 2 \times 4 = 0.8 \alpha \beta \gamma^{-2} \).

0.8 α β γ⁻²
0.4 α β γ⁻²
1.6 α β γ⁻²
0.2 α β γ⁻²
1

A man runs at \( 5 \, \text{m/s} \) towards a wall and throws a ball at \( 15 \, \text{m/s} \) towards the wall when \( 20 \, \text{m} \) away. If the ball rebounds at \( 10 \, \text{m/s} \), when does it return to the man? (Take wall as origin)

Relative speed towards wall = \( 15 + 5 = 20 \, \text{m/s} \).

Time to hit wall: \( t_1 = \frac{20}{20} = 1 \, \text{s} \).

Man’s position = \( 5 \cdot 1 = 5 \, \text{m} \) from wall.

Ball rebounds at \( 10 \, \text{m/s} \), relative speed = \( 10 - 5 = 5 \, \text{m/s} \) towards man.

Time to return: \( t_2 = \frac{5}{5} = 1 \, \text{s} \).

Total time = \( 1 + 1 = 2 \, \text{s} \).

1.5 s
2.5 s
1 s
2 s
4

A tank has a hole \( 0.5 \, \text{m} \) below the water surface, open to the atmosphere. What is the speed of efflux? (Take \( g = 9.8 \, \text{m/s}^2 \))

Torricelli’s law: \( v = \sqrt{2 g h} \).

\( g = 9.8 \, \text{m/s}^2 \), \( h = 0.5 \, \text{m} \).

\( v = \sqrt{2 \times 9.8 \times 0.5} = \sqrt{9.8} \approx 3.13 \, \text{m/s} \).

2.5 m/s
3.13 m/s
3.5 m/s
4.0 m/s
2

A block of mass \( 1 \, \text{kg} \) oscillates with a spring of \( k = 100 \, \text{N/m} \). If the amplitude is \( 10 \, \text{cm} \), what is the total energy?

Total energy: \( E = \frac{1}{2} k A^2 \).

\( A = 0.1 \, \text{m}, k = 100 \, \text{N/m} \).

\( E = \frac{1}{2} \times 100 \times (0.1)^2 = 0.5 \, \text{J} \).

0.25 J
0.5 J
0.75 J
1.0 J
2

A pipe open at both ends has a third harmonic frequency of 600 Hz and a wave speed of 400 m/s. What is its length?

\( v_n = \frac{n v}{2L} \), \( n = 3 \).

\( 600 = \frac{3 \times 400}{2L} \Rightarrow 600 = \frac{1200}{2L} \Rightarrow 2L = 2 \Rightarrow L = 1 \, \text{m} \).

0.5 m
0.67 m
1.5 m
1 m
4

A uniform field \( E = 6 \times 10^3 \, \text{N/C} \) is along the y-axis. What is the flux through a square of side 25 cm in the xz-plane at 60° to the y-axis?

Area: \( A = (0.25)^2 = 0.0625 \, \text{m}^2 \).

Flux: \( \phi = E A \cos \theta = 6 \times 10^3 \times 0.0625 \times \cos 60^\circ = 375 \times 0.5 = 187.5 \, \text{Nm}^2/\text{C} \).

\( 150 \, \text{Nm}^2/\text{C} \)
\( 175 \, \text{Nm}^2/\text{C} \)
\( 187.5 \, \text{Nm}^2/\text{C} \)
\( 200 \, \text{Nm}^2/\text{C} \)
3

A particle in SHM has an amplitude of \( 6 \, \text{cm} \) and a frequency of \( 1.5 \, \text{Hz} \). What is its maximum speed? (Take \( \pi = 3.14 \))

Maximum speed: \( v_{\text{max}} = A \omega \).

\( \omega = 2\pi v = 2 \times 3.14 \times 1.5 = 9.42 \, \text{rad/s} \).

\( A = 0.06 \, \text{m} \).

\( v_{\text{max}} = 0.06 \times 9.42 \approx 0.565 \, \text{m/s} \).

0.4 m/s
0.565 m/s
0.7 m/s
0.9 m/s
2

A body of mass \( 3 \, \text{kg} \) is acted upon by a constant force of \( 15 \, \text{N} \) for \( 4 \, \text{s} \). What is the change in momentum of the body?

Change in momentum equals impulse, given by \( \Delta p = F \times t \).

Here, force \( F = 15 \, \text{N} \) and time \( t = 4 \, \text{s} \).

Substitute: \( \Delta p = 15 \times 4 = 60 \, \text{kg m/s} \).

This is the magnitude of the change in momentum.

30 kg m/s
45 kg m/s
60 kg m/s
75 kg m/s
3

A brass wire of length \( 2.2 \, \text{m} \) and cross-sectional area \( 2 \times 10^{-6} \, \text{m}^2 \) is stretched by a force of \( 220 \, \text{N} \). If the Young's modulus of brass is \( 9 \times 10^{10} \, \text{N/m}^2 \), what is the stress?

Stress: \( \text{Stress} = \frac{F}{A} = \frac{220}{2 \times 10^{-6}} = 1.1 \times 10^8 \, \text{N/m}^2 \).

\( 1 \times 10^8 \, \text{N/m}^2 \)
\( 1.5 \times 10^8 \, \text{N/m}^2 \)
\( 2 \times 10^8 \, \text{N/m}^2 \)
\( 1.1 \times 10^8 \, \text{N/m}^2 \)
4

A \( 4 \, \text{kg} \) block slides down a frictionless incline from \( 11 \, \text{m} \) height. What is its speed at the bottom? (Take \( g = 10 \, \text{m/s}^2 \))

Potential energy \( mgh = 4 \times 10 \times 11 = 440 \, \text{J} \).

Kinetic energy \( \frac{1}{2} m v^2 = 440 \Rightarrow v^2 = 220 \Rightarrow v = \sqrt{220} \approx 14.83 \, \text{m/s} \).

14 m/s
14.8 m/s
15.5 m/s
16 m/s
2

The mean free path of a gas molecule is \(5 \times 10^{-7} \, \text{m}\) at 1 atm. What will it be if the pressure is reduced to 0.5 atm at constant temperature?

\(l \propto \frac{1}{n}\), \(n \propto P\). If \(P\) halves, \(n\) halves, \(l\) doubles.

New \(l = 5 \times 10^{-7} \times 2 = 1 \times 10^{-6} \, \text{m}\).

\(2.5 \times 10^{-7} \, \text{m}\)
\(5.0 \times 10^{-7} \, \text{m}\)
\(7.5 \times 10^{-7} \, \text{m}\)
\(1.0 \times 10^{-6} \, \text{m}\)
4

The dimensional formula of pressure gradient is \( [M L^{-2} T^{-2}] \). Which quantity shares the same dimensions?

Pressure gradient = Pressure / Length = \( [M L^{-1} T^{-2}] / [L] = [M L^{-2} T^{-2}] \).

(a) \( [F / V] = [M L T^{-2}] / [L^3] = [M L^{-2} T^{-2}] \).

(b) \( [E / A t] = [M L^2 T^{-2}] / [L^2] [T] = [M T^{-3}] \).

(c) \( [m a / r] = [M L T^{-2}] / [L] = [M T^{-2}] \).

(d) \( [P v] = [M L^{-1} T^{-2}] [L T^{-1}] = [M T^{-3}] \).

(a) matches \( [M L^{-2} T^{-2}] \).

Energy / area × time
Force / volume
Mass × acceleration / radius
Pressure × velocity
2

A \( 9 \, \Omega \) resistor dissipates \( 36 \, \text{W} \) of power. What is the current through it?

Power: \( P = I^2 R \).

Rearrange: \( I = \sqrt{\frac{P}{R}} \).

Substitute: \( I = \sqrt{\frac{36}{9}} = \sqrt{4} = 2 \, \text{A} \).

\( 2.0 \, \text{A} \)
\( 2.5 \, \text{A} \)
\( 3.0 \, \text{A} \)
\( 4.0 \, \text{A} \)
1

Two parallel wires \( 0.09 \, \text{m} \) apart carry \( 6 \, \text{A} \) and \( 4 \, \text{A} \) in the same direction. What is the force per unit length? (\( \mu_0 = 4 \pi \times 10^{-7} \, \text{T m/A} \))

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

\( f = \frac{4 \pi \times 10^{-7} \times 6 \times 4}{2 \pi \times 0.09} = \frac{96 \times 10^{-7}}{0.18} = 5.33 \times 10^{-6} \, \text{N/m} \).

2.67 × 10⁻⁶ N/m
1.07 × 10⁻⁵ N/m
4.00 × 10⁻⁶ N/m
5.33 × 10⁻⁶ N/m
4

A satellite orbits Earth at a height where \( g \) is reduced to \( 4.9 \, \text{m/s}^2 \). If \( R_E = 6.4 \times 10^6 \, \text{m} \), what is the height above Earth’s surface?

\( g(h) = \frac{G M_E}{(R_E + h)^2} = g(0) \left(1 + \frac{h}{R_E}\right)^{-2} \), where \( g(0) = 9.8 \, \text{m/s}^2 \).

\( 4.9 = 9.8 \left(1 + \frac{h}{R_E}\right)^{-2} \).

\( \left(1 + \frac{h}{R_E}\right)^2 = 2 \).

\( 1 + \frac{h}{R_E} = \sqrt{2} \).

\( \frac{h}{R_E} = \sqrt{2} - 1 \).

\( h = (\sqrt{2} - 1) \times 6.4 \times 10^6 \approx 2.65 \times 10^6 \, \text{m} \).

2.5 × 10⁶ m
2.65 × 10⁶ m
2.8 × 10⁶ m
3.0 × 10⁶ m
2

Which impurity type is used to create an n-type semiconductor?

An n-type semiconductor is formed by doping a tetravalent semiconductor (like Si or Ge) with a pentavalent impurity (e.g., As, Sb, P), which donates an extra electron for conduction.

Pentavalent
Trivalent
Divalent
Monovalent
1

A torque of \( 15 \, \text{Nm} \) is applied to a disk with moment of inertia \( 5 \, \text{kg m}^2 \). What is its angular acceleration?

\( \tau = I \alpha \).

\( \tau = 15 \, \text{Nm} \), \( I = 5 \, \text{kg m}^2 \).

\( \alpha = \frac{\tau}{I} = \frac{15}{5} = 3 \, \text{rad/s}^2 \).

2 rad/s²
3 rad/s²
4 rad/s²
5 rad/s²
2

Two charges \( 4 \times 10^{-8} \, \text{C} \) and \( -2 \times 10^{-8} \, \text{C} \) are 20 cm apart. At what distance from the positive charge on the line joining them is the potential zero? (Take \( \frac{1}{4 \pi \varepsilon_0} = 9 \times 10^9 \, \text{Nm}^2 \text{C}^{-2} \)).

Let distance from \( 4 \times 10^{-8} \, \text{C} \) be \( x \, \text{m} \), then distance from \( -2 \times 10^{-8} \, \text{C} \) is \( 0.2 - x \).

Total potential: \( V = \frac{1}{4 \pi \varepsilon_0} \left( \frac{4 \times 10^{-8}}{x} + \frac{-2 \times 10^{-8}}{0.2 - x} \right) = 0 \).

Simplify: \( 9 \times 10^9 \left( \frac{4 \times 10^{-8}}{x} - \frac{2 \times 10^{-8}}{0.2 - x} \right) = 0 \).

\( \frac{4}{x} = \frac{2}{0.2 - x} \Rightarrow 4 (0.2 - x) = 2x \Rightarrow 0.8 - 4x = 2x \Rightarrow 0.8 = 6x \Rightarrow x = \frac{0.8}{6} = 0.133 \, \text{m} = 13.3 \, \text{cm} \).

12 cm
13.3 cm
15 cm
16 cm
2

A \( 10 \, \mu\text{F} \) capacitor is connected to a \( 220 \, \text{V} \), \( 50 \, \text{Hz} \) source. What is the capacitive reactance?

\( X_C = \frac{1}{\omega C} \), \( \omega = 2\pi \times 50 = 314 \, \text{rad/s} \).

\( C = 10 \times 10^{-6} \, \text{F} \).

\( X_C = \frac{1}{314 \times 10 \times 10^{-6}} \approx 318.5 \, \Omega \).

300 Ω
310 Ω
318.5 Ω
320 Ω
3

Which electromagnetic waves are produced by bombarding a metal target with high-energy electrons?

The document mentions that X-rays are generated by bombarding a metal target with high-energy electrons.

Gamma rays
X-rays
Ultraviolet rays
Microwaves
2

An aluminium block of dimensions \( 0.4 \, \text{m} \times 0.2 \, \text{m} \times 0.05 \, \text{m} \) is subjected to a shearing force of \( 2 \times 10^4 \, \text{N} \). If the shear modulus of aluminium is \( 2.5 \times 10^{10} \, \text{N/m}^2 \), what is the displacement of the top face?

Shear modulus: \( G = \frac{F / A}{\Delta x / L} \).

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

Area: \( A = 0.4 \times 0.2 = 0.08 \, \text{m}^2 \), \( L = 0.05 \, \text{m} \).

Substitute: \( \Delta x = \frac{2 \times 10^4 \times 0.05}{0.08 \times 2.5 \times 10^{10}} = \frac{1000}{2 \times 10^9} = 5 \times 10^{-7} \, \text{m} \).

\( 4 \times 10^{-7} \, \text{m} \)
\( 6 \times 10^{-7} \, \text{m} \)
\( 5 \times 10^{-7} \, \text{m} \)
\( 3 \times 10^{-7} \, \text{m} \)
3

A \( 1 \, \text{kg} \) mass is moved from Earth’s surface to a height of \( 3.2 \times 10^6 \, \text{m} \). What is the change in gravitational potential energy? (\( M_E = 6 \times 10^{24} \, \text{kg}, R_E = 6.4 \times 10^6 \, \text{m}, G = 6.67 \times 10^{-11} \, \text{N m}^2/\text{kg}^2 \))

\( \Delta V = -G M_E m \left(\frac{1}{r_2} - \frac{1}{r_1}\right) \).

\( r_1 = R_E = 6.4 \times 10^6 \, \text{m} \), \( r_2 = R_E + h = 9.6 \times 10^6 \, \text{m} \).

\( \Delta V = -6.67 \times 10^{-11} \times 6 \times 10^{24} \times 1 \left(\frac{1}{9.6 \times 10^6} - \frac{1}{6.4 \times 10^6}\right) \).

\( \Delta V = -4.002 \times 10^{14} \left(1.0417 \times 10^{-7} - 1.5625 \times 10^{-7}\right) \).

\( \Delta V = -4.002 \times 10^{14} \times (-5.208 \times 10^{-8}) \approx 2.08 \times 10^7 \, \text{J} \).

1.8 × 10⁷ J
2.0 × 10⁷ J
2.1 × 10⁷ J
2.5 × 10⁷ J
3

A bar magnet produces a field of \( 2 \times 10^{-6} \, \text{T} \) at \( 0.5 \, \text{m} \) 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: \( B = 2 \times 10^{-6} \, \text{T} \), \( r = 0.5 \, \text{m} \), \( \frac{\mu_0}{4\pi} = 10^{-7} \).

\( m = \frac{2 \times 10^{-6} \times (0.5)^3}{10^{-7}} = \frac{2 \times 10^{-6} \times 0.125}{10^{-7}} = 2.5 \, \text{A m}^2 \).

2.0 A m²
2.5 A m²
3.0 A m²
3.5 A m²
2

A bar magnet with \( m = 1.4 \, \text{A m}^2 \) produces a field at \( 0.4 \, \text{m} \) on its equatorial line. What is \( B \)? (Take \( \mu_0 = 4\pi \times 10^{-7} \, \text{T m A}^{-1} \)).

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

Given: \( m = 1.4 \, \text{A m}^2 \), \( r = 0.4 \, \text{m} \), \( \frac{\mu_0}{4\pi} = 10^{-7} \).

\( B = 10^{-7} \times \frac{1.4}{(0.4)^3} = 10^{-7} \times \frac{1.4}{0.064} \approx 2.1875 \times 10^{-6} \, \text{T} \approx 2.19 × 10^{-6} \, \text{T} \).

2.0 × 10⁻⁶ T
2.1 × 10⁻⁶ T
2.19 × 10⁻⁶ T
2.3 × 10⁻⁶ T
3

A square loop of side 30 cm rotates at 12 rad/s in a 0.1 T field. What is the maximum emf induced?

\( A = (0.3)^2 = 0.09 \, \text{m}^2 \).

\( \varepsilon_0 = N B A \omega = 1 \times 0.1 \times 0.09 \times 12 = 0.108 \, \text{V} \).

0.09 V
0.108 V
0.12 V
0.15 V
2

A paramagnetic material with \( \chi = 5 \times 10^{-4} \) in \( H = 4000 \, \text{A m}^{-1} \) has magnetization \( M \):

\( M = \chi H \).

Given: \( \chi = 5 \times 10^{-4} \), \( H = 4000 \, \text{A m}^{-1} \).

\( M = 5 \times 10^{-4} \times 4000 = 2.0 \, \text{A m}^{-1} \).

1.8 A m⁻¹
2.0 A m⁻¹
2.2 A m⁻¹
2.4 A m⁻¹
2

A bar magnet with original \( m = 1.8 \, \text{A m}^2 \) is cut transversely into two equal parts. What is \( m \) of each part?

When cut transversely, each part has half the original magnetic moment.

Given: \( m = 1.8 \, \text{A m}^2 \).

Each part: \( m' = \frac{1.8}{2} = 0.9 \, \text{A m}^2 \).

0.7 A m²
0.8 A m²
0.85 A m²
0.9 A m²
4

A solenoid with 1000 turns per meter and current \( 2 \, \text{A} \) has a core with relative permeability \( \mu_r = 200 \). What is the magnetic field \( B \) inside?

Magnetic field \( B = \mu_0 \mu_r H \), where \( H = n I \).

Given: \( n = 1000 \, \text{m}^{-1} \), \( I = 2 \, \text{A} \), \( \mu_r = 200 \), \( \mu_0 = 4\pi \times 10^{-7} \, \text{T m A}^{-1} \).

First, \( H = 1000 \times 2 = 2000 \, \text{A m}^{-1} \).

Then, \( B = 4\pi \times 10^{-7} \times 200 \times 2000 = 0.5024 \, \text{T} \approx 0.5 \, \text{T} \).

0.3 T
0.4 T
0.5 T
0.6 T
3

Chemistry

What is the bond order of \( \ce{O2^2-} \) according to molecular orbital theory?

For \( \ce{O2^2-} \): 18 electrons, \( (\sigma 1s)^2 (\sigma^* 1s)^2 (\sigma 2s)^2 (\sigma^* 2s)^2 (\sigma 2p_z)^2 (\pi 2p_x)^2 (\pi 2p_y)^2 (\pi^* 2p_x)^2 (\pi^* 2p_y)^2 \). Bonding = 10, antibonding = 8. Bond order = \( \frac{1}{2} (10 - 8) = 1 \).

2
1.5
0.5
1
4

The enthalpy change for the reaction \(\ce{H2O(l) -> H2O(g)}\) at 373 K is 40.79 kJ/mol. What is the internal energy change if \(\Delta n_g = 1\) and \(R = 8.314 J/mol·K\)?

\(\Delta H = \Delta U + \Delta n_g RT\). Given \(\Delta H = 40.79 kJ/mol\), \(\Delta n_g = 1\), \(T = 373 K\), \(RT = 8.314 \times 373 / 1000 = 3.1 kJ\). So, \(\Delta U = 40.79 - 3.1 = 37.69 kJ/mol\).

37.69 kJ/mol
40.79 kJ/mol
43.89 kJ/mol
34.59 kJ/mol
1

In the Carius method, the percentage of sulphur in a 0.3 g compound yielding 0.699 g \( \ce{BaSO4} \) is (Atomic masses: Ba = 137, S = 32, O = 16)

Molar mass of \( \ce{BaSO4} = 137 + 32 + 64 = 233 \) g/mol. Mass of S = \( \frac{32 \times 0.699}{233} = 0.096 \) g. Percentage = \( \frac{0.096 \times 100}{0.3} = 32\% \).

30.0%
31.0%
33.0%
32.0%
4

Calculate the boiling point elevation for a solution of 17.1 g of sucrose (\( \ce{C12H22O11} \)) in 200 g of water. (\( K_b = 0.52 \, \text{K kg/mol}, \text{Molar mass of sucrose} = 342 \, \text{g/mol} \))

Moles of sucrose = \( \frac{17.1}{342} = 0.05 \, \text{mol} \).

Molality = \( \frac{0.05}{0.2} = 0.25 \, \text{mol/kg} \).

\( \Delta T_b = 0.52 \times 0.25 = 0.13 \, \text{K} \).

0.26 K
0.13 K
0.52 K
0.065 K
2

What is the EMF of a cell with Zn(s) | Zn²⁺(0.05 M) || H⁺(0.1 M) | H₂(g, 1 bar) | Pt(s) at 298 K, given \( E_{\text{Zn}^{2+}/\text{Zn}}^0 = -0.76 \, \text{V} \) and \( E_{\text{H}^{+}/\text{H}_2}^0 = 0 \, \text{V} \)?

\( E_{\text{cell}}^0 = 0 - (-0.76) = 0.76 \, \text{V} \), \( n = 2 \).

\( E_{\text{cell}} = E_{\text{cell}}^0 - \frac{0.059}{2} \log \frac{[\text{Zn}^{2+}]}{[\text{H}^{+}]^2} \).

\( Q = \frac{0.05}{(0.1)^2} = 5 \), \( \log Q = 0.699 \).

\( E_{\text{cell}} = 0.76 - \frac{0.059}{2} \times 0.699 = 0.76 - 0.0206 = 0.7394 \, \text{V} \approx 0.74 \, \text{V} \).

0.74 V
0.78 V
0.70 V
0.76 V
1

What is the conductivity of a 0.02 M NaCl solution at 298 K if its molar conductivity is 115 S cm² mol⁻¹?

\( \Lambda_m = \frac{\kappa}{c} \times 1000 \), \( \kappa = \frac{\Lambda_m \times c}{1000} \).

\( \kappa = \frac{115 \times 0.02}{1000} = 0.0023 \, \text{S cm}^{-1} = 2.3 \times 10^{-3} \, \text{S cm}^{-1} \).

1.15 × 10⁻³ S cm⁻¹
4.6 × 10⁻³ S cm⁻¹
2.3 × 10⁻³ S cm⁻¹
5.75 × 10⁻⁴ S cm⁻¹
3

The rate law for a reaction is \( \ce{Rate = k[A]^2} \). If the concentration of A is tripled, by what factor does the rate increase?

Initial rate = \( k[\ce{A}]^2 \), new rate = \( k(3[\ce{A}])^2 = 9k[\ce{A}]^2 \).

Factor = \( \frac{9k[\ce{A}]^2}{k[\ce{A}]^2} = 9 \).

9
3
6
27
1

Which of the following undergoes the fastest elimination reaction with alcoholic \( \ce{KOH} \)?

Tertiary halides undergo elimination reactions faster due to greater stability of the carbocation intermediate.

\( \ce{CH3CH2Cl} \)
\( \ce{(CH3)3CBr} \)
\( \ce{CH3CH2CH2I} \)
\( \ce{C6H5Cl} \)
2

A solution of 6.8 g of a non-volatile solute in 200 g of water has a boiling point elevation of 0.26 K. What is the molar mass of the solute? (\( K_b = 0.52 \, \text{K kg/mol} \))

Molality = \( \frac{\Delta T_b}{K_b} = \frac{0.26}{0.52} = 0.5 \, \text{mol/kg} \).

Moles = \( 0.5 \times 0.2 = 0.1 \, \text{mol} \).

Molar mass = \( \frac{6.8}{0.1} = 68 \, \text{g/mol} \).

34 g/mol
102 g/mol
51 g/mol
68 g/mol
4

What is the major product when ethyne reacts with water in the presence of \( \ce{HgSO4} \) and dilute \( \ce{H2SO4} \)?

Ethyne undergoes hydration in the presence of mercuric sulfate and sulfuric acid to form acetaldehyde via keto-enol tautomerism.

Ethanol
Ethanal
Ethanoic acid
Ethane
2

In Kjeldahl’s method, which base is used to liberate ammonia from the digested sample?

\( \ce{NaOH} \) is added to the digested sample (\( \ce{(NH4)2SO4} \)) to liberate \( \ce{NH3} \), which is then distilled and titrated.

\( \ce{HCl} \)
\( \ce{NaOH} \)
\( \ce{H2SO4} \)
\( \ce{KOH} \)
2

In Dumas method, the nitrogen gas collected is measured at which condition?

The Dumas method measures \( \ce{N2} \) volume, which is corrected to STP (0°C, 760 mm Hg) for calculation of nitrogen percentage.

Room temperature
STP
High pressure
Vacuum
2

For \( \ce{SO2(g) + 1/2 O2(g) <=> SO3(g)} \), adding \( \ce{O2} \) will:

Adding \( \ce{O2} \) shifts equilibrium to products to consume the added reactant.

Shift to products
Shift to reactants
No effect
Decrease \( K_p \)
1

What is the relationship between frequency (\( \nu \)) and wavelength (\( \lambda \)) of electromagnetic radiation in vacuum?

The speed of light (\( c \)) relates frequency and wavelength as \( c = \nu \lambda \), where \( c = 3.0 \times 10^8 \, \text{m s}^{-1} \).

\( c = \nu \lambda \)
\( c = \nu / \lambda \)
\( c = \lambda / \nu \)
\( c = \nu + \lambda \)
1

How many grams of H₂ are produced from 54 g of Al in the reaction \( \ce{2Al + 6HCl -> 2AlCl3 + 3H2} \)? (Atomic masses: Al = 27, H = 1)

Moles of Al = 54 / 27 = 2 mol.

2 mol Al produce 3 mol H₂.

Molar mass of H₂ = 2 g/mol. Mass = 3 × 2 = 6 g.

3 g
4 g
6 g
8 g
3

What is the minimum number of electrons required to fill the \(M\) shell completely?

The \(M\) shell (\(n = 3\)) has a maximum capacity of \(2n^2 = 2 \times 3^2 = 18\) electrons, assuming all subshells (3s, 3p, 3d) are filled.

8
18
10
32
2

What is the sign of \(\Delta H\) and \(\Delta S\) for the reaction \(\ce{2Cl(g) -> Cl2(g)}\)?

Bond formation is exothermic (\(\Delta H < 0\)), and entropy decreases as two atoms form one molecule (\(\Delta S < 0\)).

\(\Delta H > 0, \Delta S > 0\)
\(\Delta H < 0, \Delta S> 0\)
\(\Delta H > 0, \Delta S < 0\)
\(\Delta H < 0, \Delta S < 0\)
4

Which species is a Lewis acid?

A Lewis acid accepts an electron pair. \( \ce{Fe^3+} \) can accept electron pairs due to its positive charge and incomplete octet.

\( \ce{NH3} \)
\( \ce{OH-} \)
\( \ce{Fe^3+} \)
\( \ce{CN-} \)
3

A first-order reaction is 40% complete in 20 minutes. How long will it take for 80% completion?

40% complete, 60% remains: \( k = \frac{2.303}{20} \log \frac{100}{60} = 0.0255 \, \ce{min^{-1}} \).

80% complete, 20% remains: \( t = \frac{2.303}{0.0255} \log \frac{100}{20} = 63.2 \, \ce{min} \).

40 min
63 min
80 min
100 min
2

The catalytic property of transition metals is due to:

Variable oxidation states allow transition metals to facilitate electron transfer in catalytic reactions.

Variable oxidation states
Low density
High melting points
Fully filled d orbitals
1

What is the magnetic moment (in BM) of \( \ce{[CoCl4]^{2-}} \)?

Co²⁺ (\( d^7 \)) in tetrahedral \( \ce{[CoCl4]^{2-}} \) with weak field \( \ce{Cl^-} \) is high spin (\( e^4 t_2^3 \)), with 3 unpaired electrons. Magnetic moment = \( \sqrt{3(3+2)} = \sqrt{15} \approx 3.87 \) BM.

1.73
2.83
5.9
3.87
4

Which of the following undergoes hydrolysis most easily?

Benzyl halides hydrolyze easily due to resonance stabilization of the carbocation formed.

\( \ce{C6H5CH2Cl} \)
\( \ce{C6H5Cl} \)
\( \ce{CH3CH2Cl} \)
\( \ce{CH3Cl} \)
1

Which of the following alcohols gives a positive iodoform test?

The iodoform test is given by alcohols that have a CH3-C(OH)-R group, such as ethanol.

Methanol
Ethanol
Propan-1-ol
Phenol
2

Which reagent is used to convert esters to aldehydes?

DIBAL-H (Diisobutylaluminium hydride) is used to selectively reduce esters to aldehydes.

LiAlH4
NaBH4
DIBAL-H
KMnO4
3

Which of the following amines has the highest boiling point among compounds with similar molar masses?

Primary amines (\( \ce{CH3CH2CH2NH2} \)) exhibit strong intermolecular hydrogen bonding due to two hydrogens on nitrogen, leading to a higher boiling point compared to secondary or tertiary amines.

\( \ce{CH3CH2CH2NH2} \)
\( \ce{(CH3CH2)2NH} \)
\( \ce{(CH3)3N} \)
\( \ce{CH3CH2NHCH3} \)
1

Which of the following reactions produces an amine with a branched carbon chain?

Reduction of \( \ce{(CH3)2CHCN} \) with \( \ce{H2}/Ni \) yields \( \ce{(CH3)2CHCH2NH2} \) (2-methylpropan-1-amine), a primary amine with a branched isobutyl chain.

Reduction of \( \ce{(CH3)2CHCN} \) with \( \ce{H2}/Ni \)
Hoffmann bromamide reaction of \( \ce{CH3CH2CONH2} \)
Gabriel synthesis with \( \ce{CH3CH2CH2Br} \)
Reduction of \( \ce{CH3CH2NO2} \) with \( \ce{LiAlH4} \)
1

Which of the following is the correct decreasing order of basic strength in the gas phase?

In the gas phase, basicity increases with the number of alkyl groups due to the inductive effect: \( \ce{(C2H5)3N > (C2H5)2NH > C2H5NH2 > NH3} \).

\( \ce{C2H5NH2 > (C2H5)2NH > (C2H5)3N > NH3} \)
\( \ce{NH3 > C2H5NH2 > (C2H5)2NH > (C2H5)3N} \)
\( \ce{(C2H5)2NH > (C2H5)3N > C2H5NH2 > NH3} \)
\( \ce{(C2H5)3N > (C2H5)2NH > C2H5NH2 > NH3} \)
4

Which of the following is a product when \( \ce{KMnO4} \) oxidizes \( \ce{Mn^{2+}} \) in neutral medium?

\( \ce{2MnO4^- + 3Mn^{2+} + 2H2O -> 5MnO2 + 4H^+} \). \( \ce{MnO2} \) is formed.

\( \ce{MnO4^-} \)
\( \ce{Mn^{3+}} \)
\( \ce{MnO2} \)
\( \ce{Mn} \)
3

The rate constant of a reaction is \( 1.0 \times 10^{-2} \, \ce{s^{-1}} \) at 27°C. If the activation energy is 60 kJ/mol, what is the rate constant at 37°C? (R = 8.314 J/mol·K)

\( \log \frac{k_2}{k_1} = \frac{E_a}{2.303R} \left( \frac{T_2 - T_1}{T_1 T_2} \right) \).

\( \log \frac{k_2}{1.0 \times 10^{-2}} = \frac{60000}{2.303 \times 8.314} \left( \frac{10}{300 \times 310} \right) = 0.336 \).

\( k_2 = 1.0 \times 10^{-2} \times 10^{0.336} = 2.17 \times 10^{-2} \, \ce{s^{-1}} \).

\( 1.5 \times 10^{-2} \)
\( 3.0 \times 10^{-2} \)
\( 2.2 \times 10^{-2} \)
\( 4.0 \times 10^{-2} \)
3

How many molecules are in 22 g of CO₂? (Molar mass = 44 g/mol, Avogadro number = 6.022 × 10²³)

Moles = 22 / 44 = 0.5 mol.

Molecules = 0.5 × 6.022 × 10²³ = 3.011 × 10²³.

1.505 × 10²³
2.0 × 10²³
3.011 × 10²³
6.022 × 10²³
3

Which reaction involves the displacement of hydrogen?

In \( \ce{Ca + 2H2O -> Ca(OH)2 + H2} \), Ca displaces H (+1 to 0), a redox displacement reaction.

\( \ce{2H2 + O2 -> 2H2O} \)
\( \ce{2K4[Fe(CN)6] + H2O2 -> 2K3[Fe(CN)6] + 2KOH} \)
\( \ce{Ca + 2H2O -> Ca(OH)2 + H2} \)
\( \ce{3ClO^- -> 2Cl^- + ClO3^-} \)
3

In Lassaigne’s test, the presence of nitrogen is confirmed by the formation of which colored compound?

In Lassaigne’s test, nitrogen forms sodium cyanide, which reacts with \( \ce{FeSO4} \) and \( \ce{H2SO4} \) to form Prussian blue, \( \ce{Fe4[Fe(CN)6]3} \).

Prussian blue
Blood red
Violet
Yellow
1

What is the product when \( \ce{C6H5NH2} \) reacts with \( \ce{CH3COCl} \) in the presence of a base?

Aniline (\( \ce{C6H5NH2} \)) reacts with acetyl chloride (\( \ce{CH3COCl} \)) to form acetanilide (\( \ce{C6H5NHCOCH3} \)), an acylation product, with the base neutralizing \( \ce{HCl} \).

\( \ce{C6H5CH3} \)
\( \ce{C6H5NHCOCH3} \)
\( \ce{C6H5NH3+Cl-} \)
\( \ce{CH3CONH2} \)
2

The \( K_{sp} \) of \( \ce{PbF2} \) is \( 3.3 \times 10^{-8} \). What is its solubility in 0.01 M \( \ce{NaF} \)?

\( K_{sp} = [\ce{Pb^2+}][\ce{F-}]^2 \), \( [\ce{F-}] = 0.01 \), \( 3.3 \times 10^{-8} = S \cdot (0.01)^2 \).

\( S = 3.3 \times 10^{-8} / 0.0001 = 3.3 \times 10^{-4} \) M.

\( 1.8 \times 10^{-4} \) M
\( 5.7 \times 10^{-5} \) M
\( 3.3 \times 10^{-8} \) M
\( 3.3 \times 10^{-4} \) M
3

Which of the following oxides is most acidic?

Across a period, oxide acidity increases. Cl₂O₇ (from Group 17) is highly acidic, forming a strong acid with water.

Na₂O
Cl₂O₇
Al₂O₃
MgO
2

What type of bond is formed by the end-on overlap of s-orbitals in the \( \ce{H2} \) molecule?

In \( \ce{H2} \), the 1s orbitals of two hydrogen atoms overlap end-on, forming a sigma bond.

Pi bond
Hydrogen bond
Ionic bond
Sigma bond
4

Which method is used to detect sulphur in an organic compound by forming a violet-colored complex?

In Lassaigne’s test, sulphur forms \( \ce{Na2S} \), which reacts with sodium nitroprusside to produce a violet-colored complex, \( \ce{Na4[Fe(CN)5NOS]} \).

Sodium nitroprusside test
Lead acetate test
Carius method
Dumas method
1

Which of the following compounds is used in the decolorization of oils?

\( \ce{KMnO4} \) is used for decolorizing oils due to its strong oxidizing power.

\( \ce{K2Cr2O7} \)
\( \ce{Na2CrO4} \)
\( \ce{MnO2} \)
\( \ce{KMnO4} \)
4

How many geometrical isomers are possible for \( \ce{[Cr(NH3)2Cl4]^{-}} \)?

For octahedral \( \ce{[Ma2b4]} \), 2 geometrical isomers exist: cis (two \( \ce{NH3} \) adjacent) and trans (opposite).

3
2
1
4
2

What happens when phenol is treated with dilute nitric acid?

Phenol reacts with dilute HNO3 to form a mixture of o-nitrophenol and p-nitrophenol.

Only o-Nitrophenol
Only p-Nitrophenol
Both o- and p-Nitrophenol
2,4,6-Trinitrophenol
3

Which compound is formed when benzaldehyde reacts with hydroxylamine?

Benzaldehyde reacts with hydroxylamine to form benzaldehyde oxime.

Benzophenone
Benzaldehyde oxime
Benzyl alcohol
Benzamide
2

Calculate the mole fraction of ethanol (\( \ce{C2H5OH} \)) in a solution containing 69 g of ethanol and 198 g of water. (Molar mass: \( \ce{C2H5OH} = 46 \, \text{g/mol}, \ce{H2O} = 18 \, \text{g/mol} \))

Moles of ethanol = \( \frac{69}{46} = 1.5 \, \text{mol} \).

Moles of water = \( \frac{198}{18} = 11 \, \text{mol} \).

Total moles = 1.5 + 11 = 12.5.

Mole fraction of ethanol = \( \frac{1.5}{12.5} = 0.12 \).

0.12
0.88
0.24
0.06
1

Which compound involves ionic bonding between a group 1 element and a group 16 element?

\( \ce{Na2O} \) forms by electron transfer from sodium (group 1) to oxygen (group 16), creating \( \ce{Na^+} \) and \( \ce{O^2-} \).

\( \ce{HCl} \)
\( \ce{Na2O} \)
\( \ce{CH4} \)
\( \ce{NF3} \)
2

Calculate the kinetic energy of an electron ejected from a metal with \(\nu_0 = 5.0 \times 10^{14} \, \text{Hz}\) by light of \(\nu = 7.0 \times 10^{14} \, \text{Hz}\). (\(h = 6.626 \times 10^{-34} \, \text{J s}\))

Kinetic energy = \(h(\nu - \nu_0) = 6.626 \times 10^{-34} \times (7.0 \times 10^{14} - 5.0 \times 10^{14}) = 6.626 \times 10^{-34} \times 2.0 \times 10^{14} = 1.325 \times 10^{-19} \, \text{J}\).

\(1.0 \times 10^{-19} \, \text{J}\)
\(1.5 \times 10^{-19} \, \text{J}\)
\(2.0 \times 10^{-19} \, \text{J}\)
\(1.325 \times 10^{-19} \, \text{J}\)
4

In the reaction \( \ce{CS2 + 3O2 -> CO2 + 2SO2} \), how many grams of SO₂ are produced from 19 g of CS₂? (Atomic masses: C = 12, S = 32, O = 16)

Molar mass of CS₂ = 12 + (2 × 32) = 76 g/mol.

Moles of CS₂ = 19 / 76 = 0.25 mol.

1 mol CS₂ produces 2 mol SO₂. Moles of SO₂ = 0.25 × 2 = 0.5 mol.

Mass = 0.5 × 64 = 32 g.

16 g
24 g
28 g
32 g
4

Botany

Which of the following statements about mesophyll in leaves is correct?

Mesophyll is made up of xylem and phloem tissues.
Mesophyll is involved in photosynthesis.
Mesophyll is composed of sclerenchyma.
Mesophyll is absent in leaves.
2

Mesophyll contains chloroplasts and is responsible for photosynthesis in leaves.

Which of the following organelles is present in prokaryotic cells?

Mitochondria
Endoplasmic reticulum
Ribosomes
Nucleus
3

Prokaryotic cells lack membrane-bound organelles but contain ribosomes for protein synthesis.

Why is the vascular system of monocot stems more scattered than that of dicot stems?

Monocots do not undergo secondary growth
Monocots have a cambium that differentiates unevenly
Monocots lack xylem and phloem tissue
Monocots have an irregular pattern of tissue differentiation
1

Monocots do not undergo secondary growth, so their vascular bundles are scattered rather than forming a ring as seen in dicots.

Which of the following statements about anaphase of mitosis is correct?

Sister chromatids separate
Homologous chromosomes separate
DNA replication occurs
Chromosomes condense
1

During anaphase, sister chromatids separate and move to opposite poles of the cell.

Which scientist is credited with isolating auxin from oat coleoptile tips?

E. Kurosawa
F.W. Went
H.H. Cousins
Charles Darwin
2

F.W. Went isolated auxin from oat coleoptile tips, demonstrating its role in phototropism.

Which of the following is an example of a population?

All the fish in an ocean
All the lions in a forest
All the plants in a field
All the animals in a zoo
2

A population consists of individuals of the same species living in a specific geographical area, such as all lions in a forest.

What is the estimated percentage of animal species among all recorded species?

50%
60%
70%
80%
3

More than 70% of all recorded species are animals, with insects being the most numerous.

Which of the following is a reason why species become extinct?

Natural disasters
Over-exploitation
Climate change
All of the above
4

Species extinction can be caused by multiple factors, including natural disasters, human over-exploitation, and climate change.

Which term describes a fruit developed without fertilization?

Drupe
Parthenocarpic
Aggregate
Dehiscent
2

Parthenocarpic fruits, such as bananas, develop without fertilization and are seedless.

Which of the following is the primary purpose of classification?

To study organisms randomly
To group organisms based on similarities and differences
To name organisms using local language
To categorize only animals
2

Classification helps group organisms based on similarities and differences, making identification and study easier.

Which scientist proposed the fluid mosaic model of the plasma membrane?

Singer and Nicolson
Camillo Golgi
Robert Brown
Anton Von Leeuwenhoek
1

Singer and Nicolson proposed the fluid mosaic model of the plasma membrane in 1972.

Which of the following statements about telophase is incorrect?

Nuclear envelope reforms
Chromosomes become less condensed
Spindle fibers disappear
Sister chromatids remain attached
4

During telophase, sister chromatids have already separated; they do not remain attached.

Which of the following statements about the Calvin cycle is incorrect?

RuBisCO is the primary enzyme involved.
ATP and NADPH are consumed in this cycle.
The first stable product is a four-carbon compound.
It takes place in the stroma of the chloroplast.
3

The first stable product of the Calvin cycle is a three-carbon compound, 3-phosphoglyceric acid (PGA).

What is the primary role of the endosperm in a seed?

To protect the embryo
To provide nourishment to the developing embryo
To initiate seed germination
To form the seed coat
2

The endosperm is a nutritive tissue that provides food for the developing embryo during seed germination.

Which of the following represents the correct genotypic ratio in a monohybrid cross (F2 generation)?

3:1
9:3:3:1
1:2:1
2:1
3

The genotypic ratio in a monohybrid cross (F2 generation) is 1:2:1 (homozygous dominant: heterozygous: homozygous recessive).

Which of the following is incorrect about DNA replication?

Helicase unwinds the DNA helix.
DNA polymerase synthesizes new strands in the 3' to 5' direction.
Okazaki fragments are synthesized on the lagging strand.
Replication is semi-conservative.
2

DNA polymerase synthesizes new DNA strands in the 5' to 3' direction, not 3' to 5'.

Which of the following is an incorrect statement about the nitrogen cycle?

Nitrogen fixation converts nitrogen gas into a usable form.
Denitrification increases nitrogen availability in soil.
Plants absorb nitrogen in the form of nitrates.
The nitrogen cycle involves microbial activity.
2

Denitrification reduces nitrogen availability in soil by converting nitrates into atmospheric nitrogen gas.

Which of the following statements about fermentation is TRUE?

It requires oxygen
It produces a large amount of ATP
It regenerates NAD⁺
It occurs in mitochondria
3

Fermentation helps regenerate NAD⁺, allowing glycolysis to continue under anaerobic conditions.

Which scientist proposed that O₂ released during photosynthesis comes from water?

Joseph Priestley
Melvin Calvin
Jan Ingenhousz
Cornelius van Niel
4

Cornelius van Niel demonstrated that O₂ released during photosynthesis originates from water, not CO₂.

Which of the following is an example of a saprophytic fungus?

Mucor
Rhizobium
Chlamydomonas
Paramecium
1

Mucor is a saprophytic fungus that feeds on decaying organic matter.

Which floral formula symbol represents a bisexual flower?

♂
♀
⚥
⊕
3

The symbol ⚥ is used to represent a bisexual flower, meaning it has both androecium and gynoecium.

Which of the following statements about monocot leaves is correct?

Monocot leaves have reticulate venation.
Monocot leaves lack stomata.
Bulliform cells help in minimizing water loss.
Monocot leaves have mesophyll differentiated into palisade and spongy parenchyma.
3

Bulliform cells help in rolling the leaves under dry conditions, reducing water loss.

Which structure of the chloroplast contains chlorophyll for capturing light energy?

Stroma
Thylakoid
Inner membrane
Granum
2

The thylakoid membranes in chloroplasts contain chlorophyll, which captures light energy for photosynthesis.

Which of the following statements about S phase is correct?

It follows the G2 phase
It is the phase where DNA replication occurs
It is the last phase of interphase
No proteins are synthesized in this phase
2

The S phase (synthesis phase) is responsible for DNA replication, doubling the genetic material.

Which of the following is incorrect about post-translational modifications?

They occur after translation.
They include phosphorylation and glycosylation.
They involve the removal of exons from mRNA.
They affect protein function and localization.
3

Post-translational modifications do not involve exon removal; exons are processed during RNA splicing before translation.

Which of the following statements about Turner’s syndrome is correct?

It results from trisomy of chromosome 21.
It affects only males.
Individuals have a 45, XO karyotype.
It is caused by the presence of an extra Y chromosome.
3

Turner’s syndrome is a chromosomal disorder in females caused by the absence of one X chromosome, leading to a 45, XO karyotype.

Which genetic disorder follows an autosomal recessive inheritance pattern?

Hemophilia
Down’s syndrome
Sickle-cell anemia
Klinefelter’s syndrome
3

Sickle-cell anemia follows an autosomal recessive inheritance pattern, requiring two copies of the mutated gene.

The mature embryo sac in most angiosperms is of which type?

Polygonum type embryo sac
Oenothera type embryo sac
Allium type embryo sac
Drusa type embryo sac
1

The Polygonum type embryo sac is the most common and is characterized by seven cells and eight nuclei.

Which type of ribosome is found in chloroplasts?

80S
70S
60S
50S
2

Chloroplasts contain 70S ribosomes, which are similar to those found in prokaryotic cells.

Which group of fungi reproduce asexually by conidia and sexually by ascospores?

Phycomycetes
Ascomycetes
Basidiomycetes
Deuteromycetes
2

Ascomycetes reproduce asexually by conidia and sexually by producing ascospores within sac-like asci.

In which type of inflorescence does the main axis terminate in a flower?

Racemose
Cymose
Umbel
Spadix
2

In cymose inflorescence, the main axis terminates in a flower, limiting further growth.

What happens during the G1 phase of the cell cycle?

DNA replication occurs
Cell growth and metabolic activities take place
Chromosomes align at the equator
Spindle fibers form
2

During G1, the cell grows, carries out metabolic activities, and prepares for DNA replication in the S phase.

Which of the following statements about ATP is INCORRECT?

ATP stores energy in high-energy phosphate bonds.
ATP is only produced in mitochondria.
ATP is used for various cellular processes, including active transport.
ATP is required for muscle contraction.
2

ATP is produced in both the cytoplasm (glycolysis) and mitochondria (aerobic respiration).

What is the primary function of vascular cambium during plant growth?

Increase leaf size
Increase root length
Increase stem girth
Produce flowers
3

The vascular cambium, a type of lateral meristem, contributes to secondary growth by increasing the girth of stems and roots.

Which of the following is an incorrect statement about recombination?

Recombination occurs during meiosis.
It results in genetic variation among offspring.
It only occurs between non-homologous chromosomes.
Crossing over contributes to recombination.
3

Recombination occurs between homologous chromosomes during meiosis, not between non-homologous chromosomes.

Which enzyme is responsible for the synthesis of the RNA primer during DNA replication?

DNA polymerase
RNA polymerase
Primase
Helicase
3

Primase synthesizes the short RNA primer required to initiate DNA synthesis.

Which conservation approach involves protecting entire ecosystems?

In situ conservation
Ex situ conservation
Captive breeding
Seed bank preservation
1

In situ conservation involves protecting species in their natural habitat, preserving entire ecosystems.

Which chromosomal abnormality leads to Klinefelter’s syndrome?

Monosomy of X chromosome
Trisomy of chromosome 21
XXY chromosomal composition
Deletion of chromosome 5
3

Klinefelter’s syndrome is caused by the presence of an extra X chromosome (47, XXY).

Which of the following is an incorrect statement about cyclic photophosphorylation?

It only involves Photosystem I.
It produces ATP but not NADPH.
Oxygen is released as a by-product.
Electrons return to Photosystem I after energy transfer.
3

Cyclic photophosphorylation does not release oxygen; water is not split in this process.

Which classification system by Bentham and Hooker is specifically applicable to which group of plants?

Algae
Bryophytes
Pteridophytes
Angiosperms
4

The Bentham and Hooker classification system is a natural classification system specifically for angiosperms.

Which part of the leaf is responsible for attaching it to the stem?

Lamina
Midrib
Petiole
Veins
3

The petiole connects the leaf blade (lamina) to the stem.

What type of vascular bundle is found in leaves?

Radial
Conjoint
Closed
Collateral
2

Leaves have conjoint vascular bundles where xylem and phloem are together on the same radius.

Which process removes non-coding sequences from pre-mRNA in eukaryotic cells?

Capping
Tailing
Splicing
Translation
3

Splicing removes non-coding introns from pre-mRNA, leaving only the coding exons for translation.

According to Robert May, what is the estimated global species diversity?

1.5 million
3 million
7 million
50 million
3

Robert May estimated the global species diversity to be around 7 million.

What happens to the majority of energy at each trophic level in an ecosystem?

It is completely transferred to the next trophic level
It is stored indefinitely in organisms
It is lost as heat during respiration
It is converted into decomposer biomass
3

Most energy at each trophic level is lost as heat during respiration, following the second law of thermodynamics.

Zoology

Which structure in frogs helps in maintaining buoyancy in water?

Fat bodies
Webbed feet
Lungs
Urinary bladder
3

Frogs use their lungs to trap air, helping in buoyancy while swimming.

Which of the following statements regarding lung capacities is correct?

Residual Volume (RV) is included in Vital Capacity (VC).
Total Lung Capacity (TLC) includes Residual Volume.
Tidal Volume (TV) is the volume of air forcibly inhaled beyond a normal breath.
Expiratory Reserve Volume (ERV) is the air left in the lungs after normal exhalation.
2

Total Lung Capacity (TLC) includes Residual Volume (RV), Inspiratory Reserve Volume (IRV), Tidal Volume (TV), and Expiratory Reserve Volume (ERV).

The structural and functional unit of the kidney is:

Neuron
Nephron
Nephridia
Ureter
2

The nephron is the structural and functional unit of the kidney, responsible for filtration, reabsorption, and secretion.

Which fossil discovery in South Africa was significant in understanding the transition from aquatic to terrestrial life?

Archaeopteryx
Coelacanth
Ichthyosaur
Tyrannosaurus
2

Coelacanth, a lobe-finned fish found in South Africa, provided insights into the evolution of amphibians from aquatic ancestors.

Which of the following is correct about Golden Rice?

Golden Rice is genetically modified for insect resistance.
Golden Rice is enriched with beta-carotene for vitamin A deficiency.
Golden Rice increases soil fertility.
Golden Rice is used for nitrogen fixation in fields.
2

Golden Rice is genetically modified to produce beta-carotene, which helps prevent vitamin A deficiency.

Which of the following statements about hormonal contraceptive pills is incorrect?

Hormonal contraceptive pills suppress ovulation.
Hormonal contraceptive pills alter cervical mucus consistency.
Hormonal contraceptive pills permanently stop menstruation.
Hormonal contraceptive pills may prevent implantation of a fertilized egg.
3

Hormonal contraceptive pills do not permanently stop menstruation; their effects are reversible.

What is the main function of the placenta during pregnancy?

Sperm production
Nutrient and gas exchange between mother and fetus
Secretion of digestive enzymes
Production of amniotic fluid
2

The placenta facilitates the exchange of nutrients, oxygen, and waste products between the mother and the developing fetus.

Which of the following statements about the hypothalamus is correct?

It regulates body temperature and hunger.
It is primarily responsible for generating motor impulses.
It does not influence hormone secretion.
It has no role in maintaining homeostasis.
1

The hypothalamus regulates homeostatic functions such as body temperature, hunger, and hormonal control.

Which of the following acts as a cofactor for the enzyme carboxypeptidase?

Iron
Magnesium
Zinc
Copper
3

Zinc is an essential cofactor for the enzyme carboxypeptidase.

Which of the following statements about annelids is incorrect?

They exhibit metameric segmentation
They have a closed circulatory system
They use Malpighian tubules for excretion
They have setae for locomotion
3

Annelids do not have Malpighian tubules; they use nephridia for excretion.

What is the role of calcium ions in blood clotting?

Prevent clot formation
Activate clotting factors
Dissolve blood clots
Increase platelet count
2

Calcium ions help activate clotting factors, which are essential for the coagulation cascade.

Which of the following joints is an example of a cartilaginous joint?

Skull sutures
Knee joint
Intervertebral joints
Hip joint
3

Intervertebral joints are cartilaginous joints that allow limited movement and provide cushioning between vertebrae.

Which hormone is responsible for stimulating the synthesis and secretion of thyroid hormones?

TSH
ACTH
FSH
LH
1

Thyroid-stimulating hormone (TSH) is secreted by the anterior pituitary and stimulates the thyroid gland to release thyroxine.

Which mechanism contributes to maternal-fetal immune tolerance?

High expression of classical MHC antigens on trophoblasts
Secretion of immunosuppressive cytokines by the placenta
Maternal rejection of fetal cells
Direct maternal-fetal blood mixing
2

The placenta secretes immunosuppressive cytokines and exhibits low expression of classical MHC antigens, both of which help prevent maternal immune rejection of the fetus.

Which of the following statements about transformation is correct?

Transformation is the process of introducing foreign DNA into bacterial cells.
Transformation does not require competent cells.
Transformation only occurs in plant cells.
Transformation always requires a virus.
1

Transformation is the process of introducing foreign DNA into bacterial cells, often using chemical treatments or electroporation.

Which of the following is a biological response modifier used in cancer treatment?

Interferon-alpha
Morphine
Nicotine
Aspirin
1

Interferon-alpha is a biological response modifier that enhances the immune system to fight cancer cells.

Which process is responsible for the appearance of new phenotypes due to pre-existing advantageous mutations?

Genetic Drift
Natural Selection
Gene Flow
Mutation
2

Natural selection favors pre-existing advantageous mutations, leading to the appearance of new phenotypes.

Which of the following statements about ATP is incorrect?

ATP is an energy carrier in cells.
ATP contains three phosphate groups.
ATP stores energy in peptide bonds.
ATP is composed of a ribose sugar, adenine, and phosphate groups.
3

ATP stores energy in its high-energy phosphate bonds, not peptide bonds.

Which part of the frog's nervous system directly controls reflex actions?

Cerebrum
Spinal cord
Cerebellum
Olfactory lobes
2

The spinal cord controls reflex actions in frogs, bypassing the brain for quick responses.

Which of the following is an example of a cartilaginous fish?

Labeo
Hippocampus
Pristis
Catla
3

Pristis (Sawfish) belongs to class Chondrichthyes and has a cartilaginous skeleton.

Which of the following statements about the frog’s excretory system is correct?

Frogs excrete ammonia as their primary nitrogenous waste.
Frogs have a pair of kidneys that filter nitrogenous waste.
The urinary bladder in frogs is absent.
Frogs excrete waste only through the skin.
2

Frogs have a pair of kidneys that filter nitrogenous waste, and they excrete urea as their primary waste product.

During spermatogenesis, which cells directly give rise to spermatids?

Spermatogonia
Primary spermatocytes
Secondary spermatocytes
Sertoli cells
3

Secondary spermatocytes undergo meiosis to form spermatids, which further mature into sperm.

Which is the major site of production of red blood cells in adults?

Spleen
Lymph nodes
Bone marrow
Liver
3

In adults, red blood cells are primarily produced in the bone marrow.

Which of the following techniques is used to introduce recombinant DNA into plant cells?

Electroporation
Biolistics
Microinjection
Southern blotting
2

Biolistics (gene gun method) is commonly used to introduce recombinant DNA into plant cells.

Which molecule acts as a template in reverse transcription?

DNA
mRNA
tRNA
rRNA
2

mRNA acts as a template in reverse transcription to produce complementary DNA (cDNA).

Which of the following is a palindromic sequence recognized by EcoRI?

GAATTC
GCGC
TTAGGC
CCTAGG
1

EcoRI recognizes the palindromic sequence GAATTC and cuts between G and A.

Which transgenic animal is used to test the safety of polio vaccines?

Transgenic mice
Transgenic sheep
Transgenic cow
Transgenic rabbit
1

Transgenic mice are used to test the safety of polio vaccines before human use.

Which type of hypersensitivity reaction is responsible for allergic asthma?

Type I
Type II
Type III
Type IV
1

Type I hypersensitivity reactions, mediated by IgE, cause allergic asthma.

Which type of inhibition can be reversed by increasing substrate concentration?

Non-competitive inhibition
Uncompetitive inhibition
Competitive inhibition
Allosteric inhibition
3

In competitive inhibition, the inhibitor competes with the substrate for the active site, and increasing substrate concentration can overcome it.

Which feature is found in Aschelminthes but absent in Platyhelminthes?

Bilateral symmetry
Organ-system level of organization
Complete digestive system
Acoelomate body cavity
3

Aschelminthes (roundworms) have a complete digestive system, unlike Platyhelminthes, which have an incomplete digestive tract.

Which movement occurs when the angle between two bones increases?

Flexion
Extension
Abduction
Adduction
2

Extension increases the angle between two bones, such as straightening the elbow or knee.

Which of the following is an incorrect function of insulin?

Insulin lowers blood glucose levels.
Insulin promotes glucose uptake by body cells.
Insulin increases blood glucose levels by promoting glycogen breakdown.
Insulin is secreted by the beta cells of the pancreas.
3

Insulin lowers blood glucose levels by promoting glucose uptake and glycogen synthesis. Glucagon increases blood glucose by promoting glycogen breakdown.

Which assisted reproductive technology (ART) involves transferring a fertilized zygote into the fallopian tube?

Gamete Intra-Fallopian Transfer (GIFT)
Zygote Intra-Fallopian Transfer (ZIFT)
Intrauterine Transfer (IUT)
Artificial Insemination (AI)
2

ZIFT (Zygote Intra-Fallopian Transfer) is an assisted reproductive technology where a fertilized zygote is placed in the fallopian tube.

Which of the following is correct?

Homologous organs indicate common ancestry.
Analogous organs are a result of divergent evolution.
Industrial melanism is an example of genetic drift.
Coelacanth is an extinct transitional fossil.
1

Homologous organs, such as vertebrate forelimbs, indicate common ancestry despite different functions.

Which of the following statements about the immune system is correct?

B-lymphocytes are responsible for cell-mediated immunity.
T-cytotoxic cells attack virus-infected cells.
Macrophages produce antibodies.
Neutrophils are the only cells involved in phagocytosis.
2

T-cytotoxic cells (CD8+ T-cells) are responsible for destroying virus-infected cells.

What is the purpose of micropropagation in biotechnology?

Producing hybrids
Mass production of genetically identical plants
Enhancing photosynthesis
Producing genetically modified organisms
2

Micropropagation is used for rapid mass production of genetically identical plants from explants.

What is the primary function of myelin in neurons?

To speed up nerve impulse conduction
To produce neurotransmitters
To store calcium ions
To generate resting membrane potential
1

Myelin acts as an insulating layer around axons, allowing faster transmission of nerve impulses through saltatory conduction.

Which of the following is correct about the function of valves in veins?

They prevent the backflow of blood.
They increase blood pressure in veins.
They allow blood to flow in both directions.
They are absent in all veins.
1

Valves in veins ensure unidirectional blood flow toward the heart, preventing backflow due to low pressure.

Which of the following statements about lipids is correct?

Lipids are soluble in water.
Lipids serve as structural components of cell membranes.
Lipids contain peptide bonds.
Lipids do not store energy in cells.
2

Lipids play a structural role in cell membranes, forming the phospholipid bilayer.

Which of the following statements about amphibians is correct?

They have a four-chambered heart
They lay eggs with a hard shell
They exhibit external fertilization in most species
They are warm-blooded animals
3

Most amphibians exhibit external fertilization, where eggs are laid in water and fertilized outside the female's body.

Which of the following is the primary site for gas exchange in the human respiratory system?

Trachea
Bronchi
Alveoli
Bronchioles
3

Alveoli are the primary sites for the exchange of oxygen and carbon dioxide through diffusion.

Which of the following is a function of the vasa recta?

Ultrafiltration of blood.
Active reabsorption of glucose.
Maintaining the counter-current exchange system.
Secretion of aldosterone.
3

The vasa recta helps maintain the counter-current exchange system for water and ion balance.

What is the primary function of the intervertebral discs?

Allow free movement between vertebrae
Provide cushioning and absorb shock
Store minerals like calcium
Assist in blood cell formation
2

Intervertebral discs act as shock absorbers and prevent friction between adjacent vertebrae.

Why are thermostable enzymes used in PCR?

To increase mutation rates
To withstand high temperatures during DNA denaturation
To degrade RNA in the sample
To act as restriction enzymes
2

Thermostable enzymes, such as Taq polymerase, are used in PCR because they remain active during high-temperature DNA denaturation.

Which event is essential for successful implantation of the blastocyst?

A thin, unreceptive endometrium
A thick, well-vascularized endometrium
High levels of circulating androgens
Excessive uterine contractions during the secretory phase
2

A receptive endometrium with adequate thickness and vascularization is crucial for blastocyst implantation.

Performance Summary

Subject Correct
Answers		 Incorrect
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Physics
Chemistry
Botany
Zoology

Overall Score

Score: / 720

Category Details
Total Attempts: / 180
Total Skipped: / 180
Total Wrong Answers:
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Time Taken:
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180