NEET Full-Length Mock Test 15

NEET Mock Test - 2026

Test 15

Number Of Questions: 180

Time: 3 hours

Correct answer Carries: 4.

Wrong Answer Carries: -1.

3:00:00

Physics

A bus starts from rest and moves with a uniform acceleration of \( 1.5 \, \text{m/s}^2 \) for \( 8 \, \text{s} \). What is the final velocity of the bus?

Use the equation \( v = v_0 + a t \).

Here, initial velocity \( v_0 = 0 \), acceleration \( a = 1.5 \, \text{m/s}^2 \), time \( t = 8 \, \text{s} \).

Substitute: \( v = 0 + 1.5 \cdot 8 = 12 \, \text{m/s} \).

The final velocity is \( 12 \, \text{m/s} \).

12 m/s
15 m/s
10 m/s
18 m/s
1

The threshold frequency of a metal is \( 6.0 \times 10^{14} \, \text{Hz} \). What is its work function in eV? (Take \( h = 6.63 \times 10^{-34} \, \text{J s} \), \( 1 \, \text{eV} = 1.6 \times 10^{-19} \, \text{J} \))

\( \phi_0 = h v_0 = 6.63 \times 10^{-34} \times 6.0 \times 10^{14} = 3.978 \times 10^{-19} \, \text{J} \).

\( \phi_0 = \frac{3.978 \times 10^{-19}}{1.6 \times 10^{-19}} \approx 2.486 \, \text{eV} \).

2.486 eV
2.5 eV
2.7 eV
3.0 eV
1

A \( 3 \, \text{kg} \) mass rotates in a circle of radius \( 0.7 \, \text{m} \) with a speed of \( 4.2 \, \text{m/s} \). What is its angular momentum about the center?

\( L = m v r \).

\( m = 3 \, \text{kg} \), \( v = 4.2 \, \text{m/s} \), \( r = 0.7 \, \text{m} \).

\( L = 3 \times 4.2 \times 0.7 = 8.82 \, \text{kg m}^2/\text{s} \).

8.5 kg m²/s
8.82 kg m²/s
9.0 kg m²/s
9.5 kg m²/s
2

X-rays are typically used in medicine for which purpose?

X-rays are used as a diagnostic tool in medicine and for treating certain forms of cancer, as mentioned in the document.

Heating tissues
Killing germs
Detecting infrared radiation
Diagnosis and cancer treatment
4

A \( 4 \, \Omega \) resistor dissipates \( 16 \, \text{W} \) of power. What is the voltage across it?

Power: \( P = \frac{V^2}{R} \).

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

Substitute: \( V = \sqrt{16 \times 4} = \sqrt{64} = 8 \, \text{V} \).

\( 8 \, \text{V} \)
\( 10 \, \text{V} \)
\( 12 \, \text{V} \)
\( 16 \, \text{V} \)
1

A vehicle accelerates uniformly from rest at \( 1.2 \, \text{m/s}^2 \) for \( 10 \, \text{s} \). What is the final velocity?

Use the equation \( v = v_0 + a t \).

Here, initial velocity \( v_0 = 0 \), acceleration \( a = 1.2 \, \text{m/s}^2 \), time \( t = 10 \, \text{s} \).

Substitute: \( v = 0 + 1.2 \cdot 10 = 12 \, \text{m/s} \).

The final velocity is \( 12 \, \text{m/s} \).

12 m/s
15 m/s
10 m/s
18 m/s
1

What is the escape speed from a planet of mass \( 4.8 \times 10^{24} \, \text{kg} \) and radius \( 5 \times 10^6 \, \text{m} \)? (\( G = 6.67 \times 10^{-11} \, \text{N m}^2/\text{kg}^2 \))

\( v_e = \sqrt{\frac{2 G M}{R}} \).

\( v_e = \sqrt{\frac{2 \times 6.67 \times 10^{-11} \times 4.8 \times 10^{24}}{5 \times 10^6}} \).

\( v_e = \sqrt{6.403 \times 10^7} \approx 8.0 \times 10^3 \, \text{m/s} = 8.0 \, \text{km/s} \).

7.5 km/s
8.0 km/s
8.5 km/s
9.0 km/s
2

What happens to photoelectric emission if the frequency of incident light is below the threshold frequency?

No photoelectric emission occurs if the frequency is below the threshold frequency, as the photon energy (\( h v \)) is less than the work function (\( \phi_0 \)).

Increases
Decreases
Remains constant
Stops completely
4

In a rectifier circuit, the diode conducts when it is:

A diode conducts in forward bias (p-side positive, n-side negative), allowing current to flow through the load, which is the basis of rectification in both half-wave and full-wave circuits.

Forward biased
Reverse biased
Unbiased
At breakdown voltage
1

An aluminium wire of length \( 1.8 \, \text{m} \) and cross-sectional area \( 2 \times 10^{-6} \, \text{m}^2 \) is stretched by a force producing a strain of \( 2 \times 10^{-4} \). If the Young's modulus of aluminium is \( 7 \times 10^{10} \, \text{N/m}^2 \), what is the force applied?

Young's modulus: \( Y = \frac{\text{Stress}}{\text{Strain}} \).

Stress: \( \text{Stress} = Y \times \text{Strain} = 7 \times 10^{10} \times 2 \times 10^{-4} = 1.4 \times 10^7 \, \text{N/m}^2 \).

Force: \( F = \text{Stress} \times A = 1.4 \times 10^7 \times 2 \times 10^{-6} = 28 \, \text{N} \).

\( 20 \, \text{N} \)
\( 30 \, \text{N} \)
\( 28 \, \text{N} \)
\( 25 \, \text{N} \)
3

A nucleus has a mass defect of \( 0.136 \, \text{u} \). What is its binding energy in MeV? (Given \( 1 \, \text{u} = 931.5 \, \text{MeV/c}^2 \))

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

\( \Delta M = 0.136 \, \text{u} \).

Energy = \( 0.136 \times 931.5 \approx 126.7 \, \text{MeV} \).

125.0 MeV
126.7 MeV
130.0 MeV
132.5 MeV
2

What characteristic of light waves allows polarization to occur, distinguishing them from sound waves?

Light waves are transverse, with electric fields oscillating perpendicular to the propagation direction, enabling polarization, unlike longitudinal sound waves.

Transverse nature
High frequency
Longitudinal nature
Variable amplitude
1

Which of the following is true about the coefficient of volume expansion compared to the coefficient of linear expansion?

The coefficient of volume expansion (\( \alpha_v \)) is three times the coefficient of linear expansion (\( \alpha_l \)), as \( \alpha_v = 3 \alpha_l \) (Section 10.5).

They are equal
\( \alpha_v = 2 \alpha_l \)
\( \alpha_v = 3 \alpha_l \)
\( \alpha_l = 3 \alpha_v \)
3

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

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

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

\( (0.0318)^2 = \frac{0.8}{k} \Rightarrow k = \frac{0.8}{0.00101} \approx 792 \, \text{N/m} \).

600 N/m
700 N/m
792 N/m
800 N/m
3

A particle moves with an initial velocity of \( 4 \hat{i} \, \text{m/s} \) and an acceleration of \( (2 \hat{i} - 3 \hat{j}) \, \text{m/s}^2 \). What is its speed after \( 3 \, \text{s} \)?

Velocity \( \mathbf{v} = \mathbf{v}_0 + \mathbf{a} t \).

Given: \( \mathbf{v}_0 = 4 \hat{i}, \mathbf{a} = 2 \hat{i} - 3 \hat{j}, t = 3 \, \text{s} \).

\( \mathbf{v} = 4 \hat{i} + (2 \hat{i} - 3 \hat{j}) \times 3 = 4 \hat{i} + 6 \hat{i} - 9 \hat{j} = 10 \hat{i} - 9 \hat{j} \, \text{m/s} \).

Speed \( v = \sqrt{10^2 + (-9)^2} = \sqrt{100 + 81} = \sqrt{181} \approx 13.45 \, \text{m/s} \).

10 m/s
15 m/s
12 m/s
13.45 m/s
4

A rectangular loop of area \( 0.06 \, \text{m}^2 \) with 15 turns carries \( 2.5 \, \text{A} \) in a field of \( 0.8 \, \text{T} \) at \( 60^\circ \) to the plane. What is the torque?

\( \tau = N I A B \sin \theta \), where \( \theta = 60^\circ \) to plane means \( \sin 30^\circ \) with normal.

\( \tau = 15 \times 2.5 \times 0.06 \times 0.8 \times \sin 60^\circ = 1.8 \times 0.866 = 1.5588 \approx 1.56 \, \text{N m} \).

0.9 N m
3.12 N m
1.56 N m
2.34 N m
3

A straight wire of length \( 1.5 \, \text{m} \) carries a current of \( 6 \, \text{A} \) perpendicular to a uniform magnetic field of \( 0.25 \, \text{T} \). What is the force on the wire?

Force \( F = I l B \sin \theta \), where \( \theta = 90^\circ \), so \( \sin \theta = 1 \).

\( F = 6 \times 1.5 \times 0.25 = 2.25 \, \text{N} \).

2.25 N
4.5 N
1.13 N
3.38 N
1

A gas at \( 1 \, \text{atm} \) and \( 300 \, \text{K} \) in a \( 10 \, \text{L} \) container is heated isobarically to \( 600 \, \text{K} \). What is the work done by the gas? (\( R = 8.3 \, \text{J mol}^{-1} \text{K}^{-1} \))

For isobaric: \( W = P \Delta V \).

Initial: \( P V_1 = \mu R T_1 \Rightarrow 1 \times 10 = \mu \times 8.3 \times 300 \Rightarrow \mu = \frac{10}{2490} \approx 0.004 \, \text{moles} \).

Final: \( V_2 = \frac{\mu R T_2}{P} = \frac{0.004 \times 8.3 \times 600}{1} = 19.92 \, \text{L} \).

\( \Delta V = 19.92 - 10 \approx 9.92 \, \text{L} \).

\( W = P \Delta V = 1 \times 9.92 \times 101325 \, \text{Pa} \times 10^{-3} \, \text{m}^3 = 1004.8 \, \text{J} \approx 1005 \, \text{J} \) (converted units).

800 J
1005 J
1200 J
1500 J
2

The diffusion current in a p-n junction is due to:

Diffusion current arises from the movement of carriers (holes from p-side to n-side, electrons from n-side to p-side) due to concentration gradients across the junction during its formation.

Concentration gradient
Electric field
Thermal energy
External voltage
1

In a circuit with resistors, why does the total power dissipated equal the power supplied by the source in steady state?

In steady state, energy is conserved. The power supplied by the source (\( P = V I \)) is fully dissipated as heat in the resistors (\( P = I^2 R_{\text{total}} \)), with no energy stored or lost elsewhere.

Current doubles
Voltage cancels out
Resistance decreases
Energy conservation
4

A wheel with 10 spokes of 0.7 m each rotates at 60 rpm in a 0.5 T field. What is the induced emf?

\( \omega = 2\pi \times \frac{60}{60} = 2\pi \, \text{rad/s} \).

\( \varepsilon = \frac{1}{2} B \omega R^2 = \frac{1}{2} \times 0.5 \times 2\pi \times (0.7)^2 = 0.7697 \, \text{V} \approx 0.77 \, \text{V} \).

0.6 V
0.7 V
0.75 V
0.77 V
4

A \( 5 \, \text{V} \) battery with \( 0.5 \, \Omega \) internal resistance is connected to a \( 4.5 \, \Omega \) resistor. What is the power dissipated in the external resistor?

Total resistance: \( R_{\text{total}} = 4.5 + 0.5 = 5 \, \Omega \).

Current: \( I = \frac{\varepsilon}{R_{\text{total}}} = \frac{5}{5} = 1 \, \text{A} \).

Power: \( P = I^2 R = 1^2 \times 4.5 = 4.5 \, \text{W} \).

\( 4.0 \, \text{W} \)
\( 4.2 \, \text{W} \)
\( 4.25 \, \text{W} \)
\( 4.5 \, \text{W} \)
4

A string of length 2.2 m fixed at both ends has a wave speed of 66 m/s. What is the frequency of its fourth harmonic?

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

Fourth harmonic (\( n = 4 \)): \( v_4 = \frac{4 \times 66}{2 \times 2.2} = \frac{264}{4.4} = 60 \, \text{Hz} \).

50 Hz
55 Hz
60 Hz
65 Hz
3

A \( 55 \, \text{mH} \) inductor is connected to a \( 230 \, \text{V} \), \( 50 \, \text{Hz} \) AC source. What is the rms current?

\( X_L = \omega L \), \( \omega = 2\pi \times 50 = 314 \, \text{rad/s} \).

\( L = 55 \times 10^{-3} \, \text{H} \).

\( X_L = 314 \times 0.055 = 17.27 \, \Omega \).

RMS current: \( I = \frac{V}{X_L} = \frac{230}{17.27} \approx 13.32 \, \text{A} \).

12 A
13.32 A
14 A
15 A
2

What was the primary evidence from Rutherford’s alpha-particle scattering experiment that led to the nuclear model of the atom?

The observation that a small fraction of alpha-particles were deflected by large angles (e.g., more than 90°) indicated a small, dense, positively charged nucleus at the atom’s center.

All alpha-particles passed through undeflected
Some alpha-particles were deflected by large angles
Alpha-particles were absorbed by the foil
Uniform scattering in all directions
1

What is the total internal energy of 0.5 moles of a monatomic gas at 600 K? (\(R = 8.31 \, \text{J mol}^{-1} \text{K}^{-1}\))

Monatomic gas: \(U = \frac{3}{2} \mu R T\).

\(U = \frac{3}{2} \times 0.5 \times 8.31 \times 600 = 3741.75 \, \text{J} \approx 3.74 \, \text{kJ}\).

2.49 kJ
3.74 kJ
4.99 kJ
6.23 kJ
2

An object is placed \( 12 \, \text{cm} \) from a convex mirror of focal length \( 18 \, \text{cm} \). What is the image distance?

Focal length: \( f = 18 \, \text{cm} \), \( u = -12 \, \text{cm} \).

Mirror equation: \( \frac{1}{v} + \frac{1}{-12} = \frac{1}{18} \Rightarrow \frac{1}{v} = \frac{1}{18} + \frac{1}{12} = \frac{2 + 3}{36} = \frac{5}{36} \).

\( v = \frac{36}{5} = 7.2 \, \text{cm} \) (virtual image).

6 cm
6.5 cm
7 cm
7.2 cm
4

A \( 8.5 \, \text{kg} \) block on a horizontal surface (\( \mu_k = 0.25 \)) is pulled by a \( 4.5 \, \text{kg} \) mass over a pulley. A \( 15 \, \text{N} \) force opposes the \( 8.5 \, \text{kg} \) block. What is the acceleration? (Take \( g = 10 \, \text{m/s}^2 \))

For \( 4.5 \, \text{kg} \): \( 4.5g - T = 4.5a \Rightarrow 45 - T = 4.5a \).

For \( 8.5 \, \text{kg} \): \( T - f_k - 15 = 8.5a \).

Normal: \( N = mg = 8.5 \times 10 = 85 \, \text{N} \).

Friction: \( f_k = 0.25 \times 85 = 21.25 \, \text{N} \).

Net force: \( T - 21.25 - 15 = 8.5a \Rightarrow T - 36.25 = 8.5a \).

Solve: \( 45 - T = 4.5a \), \( T - 36.25 = 8.5a \).

Substitute: \( 45 - (8.5a + 36.25) = 4.5a \Rightarrow 45 - 36.25 - 8.5a = 4.5a \Rightarrow 8.75 = 13a \).

\( a = \frac{8.75}{13} \approx 0.67 \, \text{m/s}^2 \).

0.5 m/s²
0.67 m/s²
0.8 m/s²
1 m/s²
2

Why does a plane mirror not produce magnification greater than unity?

A plane mirror reflects light such that the image distance equals the object distance, and the image is formed by direct reflection without convergence or divergence. This results in an image of the same size as the object, with a magnification of 1, as there’s no mechanism to alter the apparent size.

Due to its curved surface
Because image size equals object size
Because it forms a real image
Due to dispersion of light
2

A \( 12 \, \text{kg} \) block on a horizontal surface (\( \mu_k = 0.3 \)) is pulled by a \( 10 \, \text{kg} \) mass over a pulley. A \( 35 \, \text{N} \) force at \( 53^\circ \) opposes the \( 12 \, \text{kg} \) block, and a \( 20 \, \text{N} \) force aids the \( 10 \, \text{kg} \) mass. What is the acceleration? (Take \( g = 10 \, \text{m/s}^2 \), \( \sin 53^\circ = 0.8 \), \( \cos 53^\circ = 0.6 \))

For \( 10 \, \text{kg} \): \( 10g + 20 - T = 10a \Rightarrow 100 + 20 - T = 10a \Rightarrow 120 - T = 10a \).

For \( 12 \, \text{kg} \): \( T - f_k - F \cos 53^\circ = 12a \).

Normal: \( N = mg + F \sin 53^\circ = 12 \times 10 + 35 \times 0.8 = 120 + 28 = 148 \, \text{N} \).

Friction: \( f_k = 0.3 \times 148 = 44.4 \, \text{N} \).

\( F \cos 53^\circ = 35 \times 0.6 = 21 \, \text{N} \).

Net force: \( T - 44.4 - 21 = 12a \Rightarrow T - 65.4 = 12a \).

Solve: \( 120 - T = 10a \), \( T - 65.4 = 12a \).

Substitute: \( 120 - (12a + 65.4) = 10a \Rightarrow 120 - 65.4 - 12a = 10a \Rightarrow 54.6 = 22a \).

\( a = \frac{54.6}{22} \approx 2.48 \, \text{m/s}^2 \).

2.2 m/s²
2.48 m/s²
2.7 m/s²
3 m/s²
2

A wheel with 6 spokes of 0.6 m each rotates at 45 rpm in a 0.5 T field. What is the induced emf?

\( \omega = 2\pi \times \frac{45}{60} = 1.5\pi \, \text{rad/s} \).

\( \varepsilon = \frac{1}{2} B \omega R^2 = \frac{1}{2} \times 0.5 \times 1.5\pi \times (0.6)^2 = 0.8478 \, \text{V} \approx 0.85 \, \text{V} \).

0.7 V
0.75 V
0.8 V
0.85 V
4

Unlike a bar magnet, an iron nail near a magnet experiences both a net force and a torque. This is primarily due to:

An iron nail, being a ferromagnetic material, becomes magnetized in the non-uniform field of a bar magnet, developing an induced magnetic moment. The field's gradient causes a net force toward the stronger region (typically the pole), while the misalignment of the induced moment with the field produces a torque.

The uniform nature of the magnet’s field
The non-uniform field inducing a magnetic moment
The nail’s inherent magnetic poles
The cancellation of forces on the nail
2

A force starts at \( 50 \, \text{N} \) over \( 6 \, \text{m} \), then decreases linearly to \( 10 \, \text{N} \) over \( 4 \, \text{m} \). What is the total work done?

Work in first part: \( W_1 = 50 \times 6 = 300 \, \text{J} \).

Work in second part: \( W_2 = \frac{1}{2} (50 + 10) \times 4 = 30 \times 4 = 120 \, \text{J} \).

Total work: \( W = 300 + 120 = 420 \, \text{J} \).

400 J
420 J
440 J
460 J
2

A thin spherical shell of radius 16 cm has a charge of \( 11 \, \mu\text{C} \). What is the electric field at a point 20 cm from the center?

Outside shell (\( r > R \)): \( E = \frac{k q}{r^2} \).

\( k = 9 \times 10^9 \, \text{Nm}^2/\text{C}^2 \), \( q = 11 \times 10^{-6} \, \text{C} \), \( r = 0.2 \, \text{m} \).

\( E = 9 \times 10^9 \times \frac{11 \times 10^{-6}}{(0.2)^2} = 9 \times 10^9 \times \frac{11 \times 10^{-6}}{0.04} = 2.475 \times 10^6 \, \text{N/C} \).

\( 2.475 \times 10^6 \, \text{N/C} \)
\( 2.5 \times 10^6 \, \text{N/C} \)
\( 2.7 \times 10^6 \, \text{N/C} \)
\( 2.9 \times 10^6 \, \text{N/C} \)
1

In a system where a charged conductor is grounded while placed near a point charge, why does the potential of the conductor become zero?

Grounding a conductor sets its potential to zero by connecting it to Earth, which acts as a reservoir of infinite charge at \( V = 0 \). Charges flow to or from Earth until the conductor's potential is zero. The nearby point charge induces charges on the conductor, but grounding ensures \( V = 0 \), adjusting the conductor's charge to counteract the point charge's potential influence, maintaining \( V = 0 \) at the conductor.

The point charge neutralizes the conductor
The conductor absorbs the point charge's field
Grounding sets the potential to zero
The conductor's charge becomes infinite
3

Which statement is incorrect regarding Torricelli’s law?

Torricelli’s law (\( v = \sqrt{2gh} \)) assumes non-viscous flow and neglects losses, not depending on viscosity or requiring turbulence. The incorrect statement is that it depends on fluid viscosity.

Speed depends on depth
It assumes non-viscous flow
It depends on fluid viscosity
It equates to free fall speed
3

What is the gravitational force on a \( 13 \, \text{kg} \) mass \( 11 \, \text{m} \) from the center of a spherical shell of mass \( 700 \, \text{kg} \) and radius \( 9 \, \text{m} \)? (\( G = 6.67 \times 10^{-11} \, \text{N m}^2/\text{kg}^2 \))

Outside shell: \( F = \frac{G M m}{r^2} \).

\( F = \frac{6.67 \times 10^{-11} \times 700 \times 13}{11^2} \).

\( F = \frac{6.0689 \times 10^{-8}}{121} \approx 5.02 \times 10^{-10} \, \text{N} \).

4.9 × 10⁻¹⁰ N
5.0 × 10⁻¹⁰ N
5.1 × 10⁻¹⁰ N
5.2 × 10⁻¹⁰ N
2

A uniform square plate of side \( 6 \, \text{m} \) and mass \( 9 \, \text{kg} \) has one corner at \( (2, 2) \) along the x- and y-axes. What is the position of its center of mass?

For a uniform square, the center of mass is at the centroid.

Vertices: \( (2, 2), (8, 2), (2, 8), (8, 8) \).

CM: \( X = 2 + \frac{6}{2} = 5 \), \( Y = 2 + \frac{6}{2} = 5 \). Position: \( (5, 5) \, \text{m} \).

\( (4, 4) \)
\( (5, 4) \)
\( (5, 5) \)
\( (6, 5) \)
3

Why is carbon an insulator while silicon and germanium are semiconductors?

Carbon (diamond) has a large energy gap (5.4 eV), preventing electron excitation at room temperature, while Si (1.1 eV) and Ge (0.7 eV) have smaller gaps, allowing thermal excitation and conduction.

Carbon has fewer valence electrons
Carbon has higher conductivity
Carbon has a larger energy gap
Carbon lacks covalent bonds
3

In a double-slit experiment, if \( \lambda = 450 \, \text{nm} \), \( d = 0.15 \, \text{mm} \), and \( D = 1.5 \, \text{m} \), what is the fringe width?

Fringe width \( \beta = \frac{\lambda D}{d} \).

\( \lambda = 4.5 \times 10^{-7} \, \text{m} \), \( d = 1.5 \times 10^{-4} \, \text{m} \), \( D = 1.5 \, \text{m} \).

\( \beta = \frac{4.5 \times 10^{-7} \times 1.5}{1.5 \times 10^{-4}} = 4.5 \times 10^{-3} \, \text{m} = 4.5 \, \text{mm} \).

4.5 mm
3.0 mm
6.0 mm
9.0 mm
1

A solenoid with 1200 turns per meter and current \( 2.5 \, \text{A} \) has a core with \( \mu_r = 200 \). What is \( B \) inside? (Take \( \mu_0 = 4\pi \times 10^{-7} \, \text{T m A}^{-1} \)).

\( B = \mu_0 \mu_r n I \).

Given: \( n = 1200 \, \text{m}^{-1} \), \( I = 2.5 \, \text{A} \), \( \mu_r = 200 \), \( \mu_0 = 4\pi \times 10^{-7} \).

\( B = 4\pi \times 10^{-7} \times 200 \times 1200 \times 2.5 = 0.7536 \, \text{T} \approx 0.75 \, \text{T} \).

0.70 T
0.75 T
0.80 T
0.85 T
2

A physical quantity is expressed as \( Q = k v^a m^b t^c \), where \( v \) is velocity, \( m \) is mass, \( t \) is time, and \( [Q] = [M L T^{-1}] \). Find \( a, b, c \).

\( [v] = [L T^{-1}] \), \( [m] = [M] \), \( [t] = [T] \).

\( [Q] = [L T^{-1}]^a [M]^b [T]^c = [M^b L^a T^{-a+c}] \).

Equate: \( b = 1 \), \( a = 1 \), \( -a + c = -1 \).

\( -1 + c = -1 \Rightarrow c = 0 \).

\( a = 1, b = 1, c = 0 \).

a = 1, b = 1, c = 0
a = 1, b = 0, c = -1
a = 0, b = 1, c = 1
a = -1, b = 1, c = 0
1

What is a limitation of dimensional analysis when deducing relationships between physical quantities?

From Section 1.6.2: Dimensional analysis cannot determine dimensionless constants (e.g., \( 2\pi \) in \( T = 2\pi \sqrt{l/g} \)).

It cannot check dimensional consistency
It requires SI units
It cannot determine dimensionless constants
It only works for base quantities
3

A \( 6 \, \text{kg} \) mass is lifted \( 5 \, \text{m} \) in \( 2 \, \text{s} \) at constant speed. What is the power? (Take \( g = 10 \, \text{m/s}^2 \))

Work \( W = mgh = 6 \times 10 \times 5 = 300 \, \text{J} \).

Power \( P = \frac{W}{t} = \frac{300}{2} = 150 \, \text{W} \).

130 W
150 W
170 W
190 W
2

A \( 7 \, \mu\text{F} \) capacitor is charged to \( 400 \, \text{V} \). What is the energy stored in it?

\( U = \frac{1}{2} C V^2 = \frac{1}{2} \times 7 \times 10^{-6} \times (400)^2 \).

\( U = \frac{1}{2} \times 7 \times 10^{-6} \times 160000 = 0.56 \, \text{J} \).

0.5 J
0.6 J
0.56 J
0.7 J
3

Chemistry

What is the IUPAC name of \( \ce{CH3CH2CH2COOH} \)?

The compound has a 4-carbon chain with a carboxyl group (-COOH) at carbon 1. The parent chain is butane, and the suffix is -oic acid. The name is butanoic acid.

Butanoic acid
Propanoic acid
Pentanoic acid
Butan-1-ol
1

What is the percentage of hydrogen in 0.18 g of a compound that produced 0.18 g of \( \ce{H2O} \) in combustion analysis? (Atomic masses: H = 1, O = 16)

Molar mass of \( \ce{H2O} = 18 \) g/mol. Mass of H = \( \frac{2 \times 0.18}{18} = 0.02 \) g. Percentage = \( \frac{0.02 \times 100}{0.18} = 11.11\% \).

10.0%
10.5%
11.0%
11.1%
4

Calculate the number of photons emitted per second by a 25 W bulb emitting monochromatic light of wavelength 570 nm. (\( h = 6.626 \times 10^{-34} \, \text{J s} \), \( c = 3.0 \times 10^8 \, \text{m s}^{-1} \))

Energy per photon = \( \frac{hc}{\lambda} = \frac{6.626 \times 10^{-34} \times 3.0 \times 10^8}{570 \times 10^{-9}} = 3.487 \times 10^{-19} \, \text{J} \). Number of photons = \( \frac{25}{3.487 \times 10^{-19}} = 7.17 \times 10^{19} \, \text{s}^{-1} \).

5.0 × 1019 s-1
6.0 × 1019 s-1
8.0 × 1019 s-1
7.17 × 1019 s-1
4

Which compound undergoes aldol condensation?

Aldol condensation occurs in aldehydes and ketones containing at least one α-hydrogen. Acetaldehyde undergoes aldol condensation.

Benzaldehyde
Formaldehyde
Acetaldehyde
Trichloroacetic acid
3

How many valence electrons are contributed by phosphorus in the \( \ce{PH3} \) molecule?

Phosphorus has 5 valence electrons (\( 3s^2 3p^3 \)), which it contributes to \( \ce{PH3} \) for bonding and lone pairs.

5
3
7
6
1

Which of the following is the correct order of increasing basicity in the gas phase?

In the gas phase, basicity increases with alkyl substitution due to the inductive effect: \( \ce{NH3} \) < \( \ce{CH3NH2} \) < \( \ce{(CH3)2NH} \) < \( \ce{(CH3)3N} \), unaffected by solvation.

\( \ce{(CH3)3N > (CH3)2NH > CH3NH2 > NH3} \)
\( \ce{(CH3)2NH > (CH3)3N > CH3NH2 > NH3} \)
\( \ce{NH3 > CH3NH2 > (CH3)2NH > (CH3)3N} \)
\( \ce{NH3 < CH3NH2 < (CH3)2NH < (CH3)3N} \)
4

Which compound will undergo an \( S_N1 \) reaction most rapidly?

The \( S_N1 \) reaction depends on carbocation stability, with tertiary carbocations being the most stable.

\( \ce{CH3CH2CH2Cl} \)
\( \ce{(CH3)3CBr} \)
\( \ce{CH3CH2CHBrCH3} \)
\( \ce{CH3CH2CH2Br} \)
2

What is the hybridization of the phosphorus atom in the \( \ce{PH3} \) molecule?

In \( \ce{PH3} \), phosphorus forms 3 bonds and has 1 lone pair, requiring 4 hybrid orbitals, achieved by \( sp^3 \) hybridization.

\( sp^2 \)
\( sp^3 \)
\( sp \)
\( sp^3d \)
2

Which element forms a hydride with the formula \(XH_4\)?

Group 14 elements (valence 4) like carbon form \(CH_4\), sharing 4 electrons with hydrogen.

N
C
O
F
2

Which of the following compounds has the highest number of sigma (\( \sigma \)) bonds?

\( \ce{CH3CH2CH2CH3} \) has 13 \( \sigma \) bonds (10 C-H, 3 C-C), higher than the others with fewer atoms or multiple bonds.

\( \ce{CH2=CH2} \)
\( \ce{CH3CH3} \)
\( \ce{CH3CH2CH2CH3} \)
\( \ce{CH3C#CH} \)
3

The \( K_{sp} \) of \( \ce{ZnS} \) is \( 1.6 \times 10^{-24} \). What is its solubility in water?

\( K_{sp} = S^2 \), \( S^2 = 1.6 \times 10^{-24} \), \( S = \sqrt{1.6 \times 10^{-24}} \approx 1.26 \times 10^{-12} \) M.

\( 4.0 \times 10^{-13} \) M
\( 8.0 \times 10^{-12} \) M
\( 1.6 \times 10^{-24} \) M
\( 1.3 \times 10^{-12} \) M
4

Which complex has a trigonal bipyramidal geometry?

\( \ce{[Fe(CO)5]} \) has 5 CO ligands around Fe(0), adopting a trigonal bipyramidal geometry, unlike the tetrahedral, square planar, or octahedral options.

\( \ce{[Fe(CO)5]} \)
\( \ce{[Ni(CO)4]} \)
\( \ce{[PtCl4]^{2-}} \)
\( \ce{[Co(NH3)6]^{3+}} \)
1

Which subshell begins filling after the \(5s\) subshell in multi-electron atoms?

The Aufbau order is \(1s, 2s, 2p, 3s, 3p, 4s, 3d, 4p, 5s, 4d, 5p, \ldots\). After \(5s\), the \(4d\) subshell fills.

\(5p\)
\(6s\)
\(5d\)
\(4d\)
4

Phenol reacts with NaOH to form which of the following?

Phenol is acidic in nature and reacts with NaOH to form sodium phenoxide.

Sodium phenoxide
Phenyl chloride
Ethanol
Benzyl alcohol
1

Which complex has the highest number of unpaired electrons?

\( \ce{[Fe(H2O)6]^{3+}} \) (Fe³⁺, \( d^5 \)) with weak field \( \ce{H2O} \) is high spin (\( t_{2g}^3 e_g^2 \)), with 5 unpaired electrons, the highest among the options.

\( \ce{[Co(NH3)6]^{3+}} \)
\( \ce{[Fe(H2O)6]^{3+}} \)
\( \ce{[NiCl4]^{2-}} \)
\( \ce{[CoF6]^{3-}} \)
2

Which of the following compounds will not give a silver mirror test with Tollens' reagent?

Ketones do not react with Tollens' reagent, while aldehydes do. Acetone is a ketone and will not give a silver mirror test.

Benzaldehyde
Formaldehyde
Acetone
Methanal
3

Which monosaccharide is present in nucleic acids?

Ribose, a pentose sugar, is found in RNA, while its derivative, 2-deoxyribose, is in DNA, both integral to nucleic acid structure.

Ribose
Glucose
Fructose
Galactose
1

Calculate the mole fraction of water in a solution containing 92 g of glycerol (\( \ce{C3H8O3} \)) and 108 g of water. (Molar mass: \( \ce{C3H8O3} = 92 \, \text{g/mol}, \ce{H2O} = 18 \, \text{g/mol} \))

Moles of glycerol = \( \frac{92}{92} = 1 \, \text{mol} \).

Moles of water = \( \frac{108}{18} = 6 \, \text{mol} \).

Total moles = 1 + 6 = 7.

Mole fraction of water = \( \frac{6}{7} = 0.857 \).

0.857
0.143
0.667
0.500
1

What is the molar conductivity of 0.00241 M acetic acid if its conductivity is 7.896 × 10⁻⁵ S cm⁻¹?

\( \Lambda_m = \frac{\kappa}{c} \times 1000 = \frac{7.896 \times 10^{-5}}{0.00241} \times 1000 = 32.76 \, \text{S cm}^2 \text{mol}^{-1} \).

16.38 S cm² mol⁻¹
32.76 S cm² mol⁻¹
65.52 S cm² mol⁻¹
8.19 S cm² mol⁻¹
2

A solution of two volatile liquids A and B has a total vapor pressure of 290 mm Hg. If the vapor pressure of pure A is 450 mm Hg and that of pure B is 150 mm Hg, what is the mole fraction of A in the solution?

Using Raoult's law: \( p_{\text{total}} = x_A p_A^0 + (1 - x_A) p_B^0 \).

\( 290 = x_A \cdot 450 + (1 - x_A) \cdot 150 \).

\( 290 = 450 x_A + 150 - 150 x_A \).

\( 140 = 300 x_A \), \( x_A = 0.467 \).

0.25
0.47
0.75
0.53
2

Which of the following compounds is stabilized by the formation of a crystal lattice through ionic bonding?

\( \ce{MgO} \) forms by electron transfer from magnesium to oxygen, creating \( \ce{Mg^2+} \) and \( \ce{O^2-} \), stabilized in a crystal lattice.

\( \ce{H2O} \)
\( \ce{MgO} \)
\( \ce{CH4} \)
\( \ce{CO2} \)
2

Which of the following hydrocarbons does not undergo Markovnikov’s addition of HBr?

Alkynes follow Markovnikov’s rule in the absence of peroxides, but propene follows anti-Markovnikov addition in the presence of peroxides.

Ethene
Propene in the presence of peroxides
But-2-ene
Cyclohexene
2

For \( \ce{2NOCl(g) <=> 2NO(g) + Cl2(g)} \), increasing pressure will:

\( \Delta n = (2 + 1) - 2 = 1 \). Increasing pressure shifts to reactants (fewer moles).

Shift to products
No effect
Shift to reactants
Increase \( K_c \)
3

The product formed when \( \ce{K2Cr2O7} \) reacts with \( \ce{SO2} \) in acidic medium is:

\( \ce{Cr2O7^{2-} + 3SO2 + 2H^+ -> 2Cr^{3+} + 3SO4^{2-} + H2O} \). \( \ce{SO2} \) is oxidized to \( \ce{SO4^{2-}} \).

\( \ce{S} \)
\( \ce{H2SO3} \)
\( \ce{SO4^{2-}} \)
\( \ce{SO3} \)
3

What is the molarity of a solution prepared by dissolving 4 g of NaOH in water to make 200 mL of solution? (Molar mass of NaOH = 40 g/mol)

Moles = 4 / 40 = 0.1 mol. Volume = 0.2 L.

Molarity = 0.1 / 0.2 = 0.5 M.

0.25 M
0.5 M
1.0 M
2.0 M
2

For a bomb calorimeter, which thermodynamic quantity is directly measured?

A bomb calorimeter operates at constant volume, so \(\Delta U = q_v\) is measured.

\(\Delta H\)
\(w\)
\(\Delta U\)
\(\Delta G\)
3

Which compound is formed when phenol reacts with Zn dust?

Phenol undergoes reduction when heated with zinc dust, forming benzene.

Benzoic acid
Benzene
Toluene
Anisole
2

Which compound gives a yellow precipitate in the iodoform test?

The iodoform test is positive for compounds containing the \( \ce{-COCH3} \) group. Acetophenone contains this group and gives a yellow precipitate.

Benzaldehyde
Acetophenone
Benzophenone
Cyclohexanone
2

What is the product when chlorobenzene is treated with NaOH at high temperature and pressure?

At high temperature and pressure, chlorobenzene undergoes nucleophilic substitution to form phenol.

Aniline
Phenol
Benzene
Toluene
2

What is the IUPAC name of \( \ce{K2[PdCl4]} \)?

In \( \ce{[PdCl4]^{2-}} \), Pd has a +2 oxidation state (4 \( \ce{Cl^-} \) = -4, balanced by 2 K⁺). The anion uses "palladate," and ligands are named as tetrachlorido. Name: potassium tetrachloridopalladate(II).

Potassium tetrachloridopalladium(II)
Potassium tetrachloridopalladate(II)
Dipotassium tetrachloridopalladate(IV)
Potassium dichloridopalladate(II)
2

What is the major product when benzene is treated with chlorine in the presence of \( \ce{AlCl3} \)?

Benzene undergoes electrophilic substitution with chlorine to form chlorobenzene.

Benzyl chloride
Chlorobenzene
Dichlorobenzene
Benzophenone
2

A zero-order reaction has a rate constant of \( 4.0 \times 10^{-3} \, \ce{mol L^{-1} s^{-1}} \). How long will it take for the concentration to decrease from 0.2 M to 0.08 M?

For zero order, \( t = \frac{[\ce{R}]_0 - [\ce{R}]}{k} = \frac{0.2 - 0.08}{4.0 \times 10^{-3}} = 30 \, \ce{s} \).

30 s
15 s
45 s
60 s
1

What is the mass of 6 × 10²³ molecules of H₂O? (Molar mass = 18 g/mol, Avogadro number = 6 × 10²³)

Moles = 6 × 10²³ / 6 × 10²³ = 1 mol.

Mass = 1 × 18 = 18 g.

9 g
12 g
15 g
18 g
4

In \( \ce{2Cu + O2 -> 2CuO} \), how many grams of \( \ce{O2} \) are needed to oxidize 127 g of Cu? (Atomic masses: Cu = 63.5, O = 16)

Moles of Cu = \( 127 / 63.5 = 2 \). 2 moles Cu need 1 mole \( \ce{O2} \) (32 g). Thus, 32 g.

16 g
32 g
64 g
48 g
2

What is the product when \( \ce{CH3CH2NH2} \) reacts with excess \( \ce{CH3CH2I} \) followed by \( \ce{AgOH} \)?

Ethanamine with excess \( \ce{CH3CH2I} \) forms a quaternary salt (\( \ce{(CH3CH2)4N+I-} \)), which with \( \ce{AgOH} \) yields \( \ce{(CH3CH2)3N} \) via elimination of \( \ce{CH3CH2I} \).

\( \ce{CH3CH2NHCH2CH3} \)
\( \ce{(CH3CH2)2NH} \)
\( \ce{CH3CH2NH2} \)
\( \ce{(CH3CH2)3N} \)
4

A zero-order reaction has a rate constant of \( 5.0 \times 10^{-3} \, \ce{mol L^{-1} min^{-1}} \). How long will it take for 0.25 M to reduce to 0.1 M?

\( t = \frac{[\ce{R}]_0 - [\ce{R}]}{k} = \frac{0.25 - 0.1}{5.0 \times 10^{-3}} = 30 \, \ce{min} \).

20 min
25 min
35 min
30 min
4

The oxidation state of sulfur in \(SO_3\) is:

In \(SO_3\), O is -2, so 3(-2) + S = 0, S = +6, as sulfur shares electrons with three oxygen atoms.

+2
+4
+6
+3
3

What is the heat released when 13.5 g of ethanol burns completely? (\(\Delta H^\circ = -1367 kJ/mol\), molar mass of C₂H₅OH = 46 g/mol)

Moles = \(13.5 / 46 = 0.2935 mol\). Heat = \(0.2935 \times 1367 = 401.2 kJ\).

683.5 kJ
1367 kJ
200.6 kJ
401.2 kJ
4

In neutral or faintly alkaline medium, \( \ce{KMnO4} \) oxidizes \( \ce{I^-} \) to:

In neutral or faintly alkaline conditions, \( \ce{2MnO4^- + H2O + I^- -> 2MnO2 + 2OH^- + IO3^-} \), producing iodate (\( \ce{IO3^-} \)).

\( \ce{I2} \)
\( \ce{IO3^-} \)
\( \ce{IO4^-} \)
\( \ce{I^-} \)
2

What is the EMF of the cell Zn(s) | Zn²⁺(0.1 M) || Cu²⁺(0.01 M) | Cu(s) at 298 K, given \( E_{\text{Zn}^{2+}/\text{Zn}}^0 = -0.76 \, \text{V} \) and \( E_{\text{Cu}^{2+}/\text{Cu}}^0 = 0.34 \, \text{V} \)?

\( E_{\text{cell}}^0 = 0.34 - (-0.76) = 1.10 \, \text{V} \), \( n = 2 \).

\( E_{\text{cell}} = E_{\text{cell}}^0 - \frac{0.059}{2} \log \frac{[\text{Zn}^{2+}]}{[\text{Cu}^{2+}]} = 1.10 - \frac{0.059}{2} \log \frac{0.1}{0.01} \).

\( Q = 10 \), \( E_{\text{cell}} = 1.10 - 0.0295 \times 1 = 1.0705 \, \text{V} \approx 1.07 \, \text{V} \).

1.13 V
1.04 V
1.10 V
1.07 V
4

The \( K_{sp} \) of \( \ce{AgI} \) is \( 8.3 \times 10^{-17} \). What is its solubility in 0.01 M \( \ce{NaI} \)?

\( K_{sp} = [\ce{Ag+}][\ce{I-}] \), \( [\ce{I-}] = 0.01 \), \( 8.3 \times 10^{-17} = S \cdot 0.01 \).

\( S = 8.3 \times 10^{-15} \) M.

\( 2.9 \times 10^{-8} \) M
\( 4.1 \times 10^{-9} \) M
\( 8.3 \times 10^{-15} \) M
\( 8.3 \times 10^{-17} \) M
3

For the reaction \(\ce{1/2H2(g) + 1/2Cl2(g) -> HCl(g)}\), if \(\Delta_f H^\circ\) of HCl(g) is -92.32 kJ/mol, what is \(\Delta_r H\)?

\(\Delta_r H = [-92.32] - [0 + 0] = -92.32 kJ/mol\).

92.32 kJ/mol
-184.64 kJ/mol
-92.32 kJ/mol
0 kJ/mol
3

The initial rate of a reaction is \( 1.2 \times 10^{-3} \, \ce{mol L^{-1} s^{-1}} \) when [A] = 0.2 M and [B] = 0.3 M. If the order is 1 with respect to A and 1 with respect to B, what is \( k \) in \( \ce{L mol^{-1} s^{-1}} \)?

\( k = \frac{\text{Rate}}{[\ce{A}][\ce{B}]} = \frac{1.2 \times 10^{-3}}{0.2 \times 0.3} = 0.02 \).

0.01
0.03
0.02
0.04
3

Which ion among the following has a \( 3d^6 \) configuration?

Fe (Z = 26) has \( 3d^6 4s^2 \). For \( \ce{Fe^{2+}} \), 2 electrons from 4s are lost, leaving \( 3d^6 \).

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

A compound burns in oxygen to produce 8.8 g of CO₂ and 3.6 g of H₂O. What is its empirical formula? (Atomic masses: C = 12, H = 1, O = 16)

Mass of C = (12 / 44) × 8.8 = 2.4 g.

Mass of H = (2 / 18) × 3.6 = 0.4 g.

Moles: C = 2.4 / 12 = 0.2, H = 0.4 / 1 = 0.4.

Ratio: 0.2 / 0.2 : 0.4 / 0.2 = 1 : 2. Empirical formula = CH₂.

CH
C₂H₄
CH₂
CH₃
3

Botany

Which category includes organisms with the highest number of common characteristics?

Species
Genus
Class
Phylum
1

Species is the most specific taxonomic rank, and organisms within a species share the most characteristics.

Which enzyme catalyzes the first irreversible step in glycolysis?

Hexokinase
Aldolase
Enolase
Pyruvate kinase
1

Hexokinase catalyzes the phosphorylation of glucose to glucose-6-phosphate, an irreversible step in glycolysis.

Which of the following statements about placentation is incorrect?

Marginal placentation is found in pea
Axile placentation is seen in tomato
Parietal placentation is observed in mustard
Basal placentation is found in hibiscus
4

Basal placentation is found in sunflower, not in hibiscus. Hibiscus has axile placentation.

Which of the following statements about Bt toxin is incorrect?

Bt toxin is produced by Bacillus thuringiensis.
Bt toxin becomes active in the acidic environment of insect guts.
Bt toxin does not affect human cells.
Bt crops are genetically engineered to produce Bt toxin.
2

Bt toxin is activated in the alkaline gut of insect larvae, not in an acidic environment.

Which of the following is NOT an adaptation of prey to avoid predators?

Camouflage
Poison production
Bright warning coloration
Increased reproduction rate
4

Increased reproduction rate helps populations survive but does not directly protect individual prey from predators.

Which of the following statements about ethylene's role in fruit ripening is incorrect?

Ethylene stimulates ripening in climacteric fruits.
Ethylene production increases during the ripening process in climacteric fruits.
Ethylene delays fruit ripening.
Ethylene is a gaseous hormone involved in fruit softening and color change.
3

Ethylene is known to promote, not delay, fruit ripening, especially in climacteric fruits.

Which type of chromosomes have the centromere slightly away from the middle, resulting in one shorter arm and one longer arm?

Metacentric
Sub-metacentric
Acrocentric
Telocentric
2

Sub-metacentric chromosomes have their centromere slightly away from the middle, resulting in one short and one long arm.

Which of the following correctly describes an inducible operon?

It is always active regardless of environmental conditions.
It is normally turned off but can be activated by an inducer.
It does not contain structural genes.
It is permanently inactive.
2

An **inducible operon (such as the lac operon) is normally off but can be activated by an inducer** like lactose.

Which of the following is incorrect about genetic variation in meiosis?

Crossing over occurs during prophase I
Independent assortment occurs during metaphase I
Meiosis results in genetically identical cells
Genetic recombination occurs during meiosis
3

Meiosis produces genetically varied cells due to crossing over and independent assortment, not identical ones.

What type of pyramid is generally inverted in aquatic ecosystems?

Pyramid of number
Pyramid of biomass
Pyramid of energy
Pyramid of productivity
2

In aquatic ecosystems, the biomass pyramid is often inverted because the biomass of phytoplankton (producers) is lower than that of zooplankton.

What is the phenotypic ratio observed in the F2 generation of a monohybrid cross?

1:2:1
9:3:3:1
3:1
4:0
3

In a monohybrid cross, Mendel observed a phenotypic ratio of 3:1 in the F2 generation.

Which part of the fruit develops into a seed?

Ovary
Ovule
Placenta
Stigma
2

The ovule develops into a seed after fertilization, while the ovary matures into the fruit.

Which of the following statements about Photosystem II (PSII) is correct?

PSII absorbs light at a wavelength of 700 nm.
PSII is responsible for photolysis of water.
PSII transfers electrons directly to NADP+.
Oxygen is not produced in PSII.
2

PSII absorbs light at 680 nm and drives the splitting of water, releasing oxygen and electrons.

Which molecule is the primary substrate for cellular respiration?

Protein
Lipid
Glucose
Nucleic Acid
3

Glucose is the primary substrate for respiration, undergoing glycolysis to produce ATP.

Which of the following is an example of a parthenocarpic fruit?

Mango
Coconut
Banana
Tomato
3

Parthenocarpic fruits, such as banana, develop without fertilization and lack seeds.

Which of the following statements about the disadvantages of self-pollination is correct?

Self-pollination can lead to inbreeding depression and reduced genetic diversity among offspring.
Self-pollination increases genetic variation.
Self-pollination always results in more vigorous offspring than cross-pollination.
Self-pollination eliminates the risk of inbreeding depression.
1

Self-pollination tends to increase homozygosity, which can lead to inbreeding depression and a reduction in genetic diversity, making populations less adaptable.

Which tissue system includes the epidermis, stomata, and trichomes?

Vascular tissue system
Ground tissue system
Epidermal tissue system
Meristematic tissue system
3

The epidermal tissue system consists of the epidermis, stomata, and trichomes, which provide protection and regulate gas exchange.

Which of the following statements about pteridophytes is correct?

Pteridophytes lack sporophylls and produce seeds directly.
The prothallus in pteridophytes is a small, multicellular gametophyte.
Pteridophytes have a dominant haploid sporophyte phase.
All pteridophytes are heterosporous like gymnosperms.
2

The prothallus is the inconspicuous, multicellular gametophyte in pteridophytes that bears sex organs.

Which of the following statements about DNA replication is correct?

Helicase helps in unwinding the DNA double helix.
DNA polymerase synthesizes RNA primers.
Ligase breaks phosphodiester bonds in DNA.
Topoisomerase is responsible for adding nucleotides to the new strand.
1

**Helicase unwinds the DNA double helix** by breaking hydrogen bonds between the two strands.

Which of the following is a correct statement about epistasis?

It occurs when one gene influences multiple traits.
It follows Mendel’s Law of Independent Assortment.
One gene masks the effect of another gene.
Epistasis is the same as pleiotropy.
3

Epistasis occurs when one gene masks or modifies the expression of another gene.

Which of the following statements about keystone species is correct?

Keystone species have little impact on ecosystem stability.
Removing a keystone species can lead to ecosystem collapse.
Keystone species are always the most abundant species.
Keystone species only exist in aquatic ecosystems.
2

Keystone species play a crucial role in ecosystem structure, and their removal can have cascading effects on the ecosystem.

Which type of mutation involves a change in a single nucleotide without shifting the reading frame?

Point mutation
Frameshift mutation
Deletion mutation
Nondisjunction
1

A point mutation occurs when a single nucleotide is altered, but it does not affect the reading frame.

In CAM plants, carbon dioxide is fixed:

During the day
At night
Only in the morning
In bundle sheath cells
2

CAM plants fix CO2 at night and store it as organic acids to minimize water loss.

Which of the following is NOT considered part of ecosystem diversity?

Deserts
Rainforests
Genetic variation in a species
Wetlands
3

Genetic variation is a part of genetic diversity, whereas ecosystem diversity includes different types of ecosystems such as deserts, rainforests, and wetlands.

Which scientist discovered the phenomenon of transformation in bacteria?

Oswald Avery
Frederick Griffith
Hershey and Chase
Meselson and Stahl
2

Frederick Griffith discovered the phenomenon of transformation while working with Streptococcus pneumoniae.

What is the role of the Y-chromosome in human sex determination?

It determines female characteristics
It triggers male development
It carries genes for blood type
It is inherited only from the mother
2

The Y-chromosome carries the SRY gene, which triggers male development in humans.

Which plant hormone increases sugar yield in sugarcane by promoting stem elongation?

Auxin
Gibberellin
Cytokinin
Abscisic acid
2

Gibberellins increase internode length in sugarcane, thereby increasing sugar yield per plant.

Which of the following statements about translation is incorrect?

Translation occurs at the ribosome.
Translation converts DNA into protein.
Translation requires mRNA, tRNA, and rRNA.
Translation involves codon-anticodon pairing.
2

Translation does **not** convert **DNA** into protein; it converts **mRNA** into protein.

Which of the following fungal divisions includes species that reproduce using zoospores?

Ascomycetes
Basidiomycetes
Phycomycetes
Deuteromycetes
3

Phycomycetes reproduce using motile zoospores (or non-motile aplanospores) produced inside sporangia.

Which compound is reduced during the light-dependent reactions of photosynthesis?

NADP⁺
RuBP
ADP
PGA
1

NADP⁺ is reduced to NADPH during the light-dependent reactions of photosynthesis.

Which structure in a bacterial cell is responsible for genetic exchange?

Plasmid
Ribosome
Mesosome
Capsule
1

Plasmids are small, circular DNA molecules that can be exchanged between bacteria, enabling genetic recombination.

What does the "rivet popper hypothesis" illustrate about biodiversity loss?

Loss of one species does not affect ecosystems
Ecosystems can function better with fewer species
Gradual species loss weakens ecosystems over time
Species loss only affects certain ecosystems
3

The rivet popper hypothesis, proposed by Paul Ehrlich, suggests that the gradual loss of species weakens ecosystems, similar to how losing rivets weakens an airplane.

Which part of a leaf contains the vascular tissue for transport?

Lamina
Stipule
Petiole
Veins
4

Veins in a leaf provide mechanical support and act as channels for the transport of water, minerals, and food.

Which of the following is incorrect about translation?

Translation occurs in the cytoplasm.
tRNA brings amino acids to the ribosome.
Ribosomes read mRNA codons to synthesize proteins.
Translation produces DNA from RNA.
4

Translation does **not** produce **DNA from RNA**; it converts **mRNA into protein**.

Which stage of meiosis involves crossing over?

Prophase I
Metaphase I
Anaphase I
Telophase I
1

During Prophase I, homologous chromosomes undergo crossing over, increasing genetic diversity.

Which of the following statements about the cell wall is correct?

The cell wall is found in animal cells.
The cell wall is made of cellulose in plant cells.
The cell wall stores proteins.
The cell wall produces ribosomes.
2

In plant cells, the cell wall is primarily composed of cellulose, providing structural support.

Which of the following statements about seeds is correct?

The radicle develops into the root
The plumule gives rise to the root
The cotyledons store food in monocots
Monocot seeds have two cotyledons
1

The radicle develops into the root, while the plumule forms the shoot.

Which of the following is an incorrect statement about linked genes?

Linked genes are inherited together.
They are located on the same chromosome.
They always follow the Law of Independent Assortment.
Crossing over can separate linked genes.
3

Linked genes do not follow the Law of Independent Assortment as they are inherited together unless crossing over occurs.

Which of the following statements about transcription is correct?

RNA polymerase requires a primer to initiate transcription.
Transcription occurs in the nucleus in eukaryotic cells.
Both DNA strands act as templates simultaneously.
Transcription produces proteins directly.
2

In **eukaryotes**, transcription occurs in the **nucleus**, while in prokaryotes, it occurs in the **cytoplasm**.

Which of the following statements about cytokinins is correct?

Cytokinins promote root growth over shoot growth.
Cytokinins are primarily produced in root tips.
Cytokinins promote leaf senescence.
Cytokinins inhibit cell division.
2

Cytokinins are produced in root tips and promote cell division and shoot growth. They delay, not promote, leaf senescence.

What is the primary function of the bacterial capsule?

Protection against phagocytosis
Locomotion
Protein synthesis
Spore formation
1

The bacterial capsule provides protection against phagocytosis by host immune cells.

Which ecosystem in India has the highest number of endemic species?

Western Ghats
Thar Desert
Indo-Gangetic Plain
Sundarbans
1

The Western Ghats have the highest number of endemic species in India, making them a biodiversity hotspot.

Which of the following statements about endemic species is incorrect?

Endemic species are found only in a specific geographic region.
Endemic species are widespread across multiple continents.
Many endemic species are at risk of extinction due to habitat loss.
The Western Ghats of India have a high number of endemic species.
2

Endemic species are restricted to specific geographic locations and are not widespread across multiple continents.

Which of the following does NOT occur in interphase?

DNA replication
Organelle duplication
Chromosome segregation
Protein synthesis
3

Chromosome segregation occurs during mitosis, whereas interphase is mainly for growth, DNA replication, and preparation for division.

Which plant tissue is responsible for the transport of water and minerals?

Xylem
Phloem
Collenchyma
Parenchyma
1

Xylem is responsible for the transport of water and minerals from the roots to other parts of the plant.

Zoology

Which of the following is incorrect about the lymphatic system?

It helps in fat absorption.
It transports oxygen to tissues.
It plays a role in immune responses.
It drains excess interstitial fluid.
2

The **lymphatic system does not transport oxygen**; it mainly helps in **immune defense and fat absorption**.

What is the primary aim of introducing sex education in schools?

To encourage early marriages
To spread myths about reproduction
To provide correct information and remove misconceptions
To discourage reproductive health awareness
3

Sex education in schools is aimed at providing accurate information and preventing misconceptions about reproduction and sexual health.

Which plant part is used in somatic hybridization after enzymatic removal of cell walls?

Protoplast
Callus
Meristem
Embryo
1

Protoplasts are used in somatic hybridization after the enzymatic removal of cell walls.

Which of the following statements about carbon dioxide transport is incorrect?

Most CO₂ is transported as bicarbonate ions.
CO₂ binds to hemoglobin to form carbamino-hemoglobin.
CO₂ transport does not affect blood pH.
Carbonic anhydrase facilitates CO₂ conversion into bicarbonate.
3

CO₂ transport significantly affects blood pH by forming carbonic acid, which dissociates into bicarbonate and hydrogen ions.

Which of the following is incorrect about arteries?

Arteries carry blood away from the heart.
They have thick muscular walls to withstand high pressure.
All arteries carry oxygenated blood.
The aorta is the largest artery in the body.
3

Not all arteries carry oxygenated blood. The **pulmonary artery** carries **deoxygenated blood** from the right ventricle to the lungs.

Which of the following statements regarding ovulation is correct?

Ovulation occurs at the beginning of the menstrual cycle.
A surge in luteinizing hormone (LH) triggers ovulation.
Progesterone triggers the release of the oocyte.
Ovulation occurs during menstruation.
2

The LH surge in the mid-cycle triggers the release of the oocyte from the follicle.

Which pathogen is responsible for causing diphtheria?

Corynebacterium diphtheriae
Mycobacterium tuberculosis
Salmonella typhi
Haemophilus influenzae
1

Diphtheria is caused by Corynebacterium diphtheriae, which produces a toxin affecting the throat and respiratory system.

Which hormone is secreted by the adrenal cortex and regulates electrolyte balance?

Glucagon
Aldosterone
Insulin
Oxytocin
2

Aldosterone, secreted by the adrenal cortex, regulates sodium and potassium balance in the body.

Which of the following statements about lipids is correct?

Lipids are insoluble in water.
Lipids are composed of amino acids.
Lipids serve as the genetic material of cells.
Lipids contain peptide bonds.
1

Lipids are hydrophobic and do not dissolve in water. They do not contain amino acids or peptide bonds.

Which of the following statements about lymph is incorrect?

Lymph carries white blood cells.
Lymph plays a role in immune defense.
Lymph contains red blood cells.
Lymphatic vessels transport lymph throughout the body.
3

Lymph does not contain red blood cells; it carries white blood cells and helps in immune defense.

Which hormone is secreted by the juxtaglomerular apparatus (JGA) in response to low blood pressure?

ADH
Renin
Aldosterone
Insulin
2

The JGA secretes renin in response to low blood pressure, which activates the renin-angiotensin mechanism to increase blood pressure.

Which of the following is a characteristic feature of the frog’s reproductive system?

Internal fertilization
Viviparous development
External fertilization
Direct development
3

Frogs undergo external fertilization, where eggs and sperm are released into water for fertilization.

Which evolutionary concept is supported by the similarity in DNA sequences across diverse organisms?

Analogy
Convergent Evolution
Common Ancestry
Founder Effect
3

Similarity in DNA sequences among diverse organisms supports the concept of common ancestry.

Which of the following statements about lactational amenorrhea is correct?

Lactational amenorrhea is a natural contraceptive method.
Lactational amenorrhea works throughout a woman's lifetime.
Lactational amenorrhea permanently prevents pregnancy.
Lactational amenorrhea is not effective during breastfeeding.
1

Lactational amenorrhea is a natural contraceptive method that prevents ovulation during exclusive breastfeeding.

Which of the following statements is correct?

Fossil records provide direct evidence of evolutionary history.
Paleontology is unrelated to evolutionary studies.
Mutation is a directed process leading to evolution.
Embryological evidence does not support evolution.
1

Fossil records provide direct evidence of evolutionary changes over time.

Which of the following is a common symptom of tuberculosis?

Skin rashes
Persistent cough with blood
Severe diarrhea
Paralysis
2

Tuberculosis (TB) primarily affects the lungs and causes symptoms like persistent cough, chest pain, and coughing up blood.

Which segment of the fallopian tube is the most common site for fertilization?

Infundibulum
Ampulla
Isthmus
Interstitial part
2

The ampulla is the widest segment of the fallopian tube and is the most common site for fertilization.

Which hormone is primarily responsible for the milk ejection (let-down) reflex in lactating females?

Prolactin
Oxytocin
Estrogen
Progesterone
2

Oxytocin is released from the posterior pituitary and triggers the contraction of myoepithelial cells, leading to milk ejection.

Which class of immunoglobulin is primarily responsible for primary immune response?

IgA
IgG
IgM
IgE
3

IgM is the first antibody produced during the primary immune response to infection.

Which transgenic animal was the first to produce human protein-enriched milk?

Rosie the cow
Dolly the sheep
Oncomouse
Zebrafish
1

Rosie the transgenic cow produced milk enriched with human alpha-lactalbumin for better infant nutrition.

Which species is considered the closest extinct relative of modern humans?

Homo habilis
Neanderthal Man
Australopithecus
Homo erectus
2

Neanderthal Man is considered the closest extinct relative of modern humans, with a brain size comparable to Homo sapiens.

What is the primary function of Malpighian tubules in insects?

Respiration
Excretion
Locomotion
Reproduction
2

Malpighian tubules are excretory structures in insects that help in the removal of metabolic waste.

Which of the following is a method for direct gene transfer into animal cells?

Biolistics
Microinjection
Electroporation
Conjugation
2

Microinjection is a technique used to introduce foreign DNA directly into the nucleus of animal cells.

The theory that life originated from pre-existing non-living organic molecules is known as:

Theory of Special Creation
Panspermia
Chemical Evolution
Spontaneous Generation
3

Oparin and Haldane proposed the theory of chemical evolution, suggesting that life originated from non-living organic molecules.

Which of the following animals belongs to phylum Mollusca?

Sycon
Limulus
Pinctada
Ascaris
3

Pinctada (pearl oyster) belongs to phylum Mollusca, which is characterized by a soft body and a calcareous shell.

High levels of estrogen during the late follicular phase result in which of the following effects on the hypothalamic-pituitary axis?

Negative feedback, reducing LH secretion
Positive feedback, triggering the LH surge
No effect on LH secretion
Suppression of FSH release only
2

Rising estrogen levels during the late follicular phase cause a positive feedback effect, leading to a surge in LH that triggers ovulation.

Which of the following statements about enzymes is incorrect?

Enzymes function as biological catalysts.
Enzymes increase the rate of chemical reactions.
Enzymes are consumed in reactions and cannot be reused.
Enzymes lower activation energy.
3

Enzymes are not consumed in reactions; they remain unchanged and can be reused.

Which polysaccharide is found in bacterial cell walls?

Cellulose
Chitin
Peptidoglycan
Hyaluronic acid
3

Peptidoglycan is a structural component of bacterial cell walls.

Which of the following statements about carbohydrates is incorrect?

Glucose is a monosaccharide.
Sucrose is a polymer of glucose.
Starch is a storage polysaccharide in plants.
Cellulose provides structural support in plant cell walls.
2

Sucrose is a disaccharide composed of glucose and fructose, not a polymer of glucose.

Which of the following statements about fishes is correct?

All fishes have a bony endoskeleton
Cartilaginous fishes have gill slits but no operculum
Bony fishes lack a swim bladder
All fishes use lungs for respiration
2

Cartilaginous fishes lack an operculum and instead have gill slits for respiration.

Which of the following statements about DNA ligase is correct?

DNA ligase joins DNA fragments by forming phosphodiester bonds.
DNA ligase is used to cut DNA at specific sites.
DNA ligase prevents DNA replication.
DNA ligase is not involved in recombinant DNA technology.
1

DNA ligase seals nicks in the sugar-phosphate backbone by forming phosphodiester bonds between DNA fragments.

Which of the following statements about frog morphology is correct?

Frogs have a neck that allows head movement.
Frogs have an elongated tail for balance.
Frogs have a body divided into head and trunk without a distinct neck.
The ventral side of a frog's body is dark-colored for camouflage.
3

Frogs have a body divided into a head and trunk, with no distinct neck or tail.

Which structure in skeletal muscle conducts electrical impulses deep into the muscle fiber?

Sarcoplasmic reticulum
T-tubules
Z-line
Myosin filaments
2

T-tubules conduct action potentials deep into muscle fibers, ensuring efficient contraction.

Which of the following statements about neurotransmitters is incorrect?

Neurotransmitters facilitate communication between neurons.
Acetylcholine is involved in muscle contraction.
Neurotransmitters always have an excitatory effect.
Serotonin plays a role in mood regulation.
3

Neurotransmitters can be either excitatory (e.g., glutamate) or inhibitory (e.g., GABA), depending on their function.

Which of the following statements about reptiles is incorrect?

They have a dry, cornified skin with epidermal scales
They have an incomplete double circulation
They excrete urea as the primary nitrogenous waste
Crocodiles have a four-chambered heart
3

Reptiles are uricotelic, meaning they excrete uric acid, not urea.

Which of the following statements about oxytocin is incorrect?

Oxytocin stimulates uterine contractions during childbirth.
Oxytocin promotes milk ejection from the mammary glands.
Oxytocin is secreted by the anterior pituitary.
Oxytocin strengthens emotional bonding.
3

Oxytocin is secreted by the posterior pituitary, not the anterior pituitary.

Which of the following serves as a molecular carrier for gene transfer in bacteria?

Ribosome
Plasmid
Histones
mRNA
2

Plasmids are extra-chromosomal DNA molecules used as vectors to carry and transfer genes in bacteria.

Which structure in the neuron contains synaptic vesicles filled with neurotransmitters?

Dendrites
Axon terminal
Cell body
Schwann cells
2

The axon terminal contains synaptic vesicles filled with neurotransmitters for signal transmission.

Which of the following enzymes is used to break down bacterial cell walls during DNA isolation?

Cellulase
Lysozyme
Chitinase
Ribonuclease
2

Lysozyme breaks down the peptidoglycan cell wall of bacteria to release DNA for isolation.

Which of the following is a characteristic of smooth muscle?

Striated and voluntary
Non-striated and involuntary
Striated and involuntary
Multinucleated
2

Smooth muscle is non-striated and involuntary, found in the walls of internal organs.

Which lung volume is the total amount of air the lungs can hold after maximum inspiration?

Tidal Volume
Vital Capacity
Total Lung Capacity
Expiratory Reserve Volume
3

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

Which of the following is an example of somatic hybridization?

Golden rice
Bt cotton
Pomato
Hybrid maize
3

Pomato is produced by fusing protoplasts of tomato and potato through somatic hybridization.

Which part of the nephron is primarily responsible for the concentration of urine?

Proximal convoluted tubule
Loop of Henle
Distal convoluted tubule
Bowman’s capsule
2

The Loop of Henle plays a key role in concentrating urine by establishing an osmotic gradient.

Which process involves the fusion of isolated protoplasts to form hybrid cells?

Gene editing
Somatic hybridization
Micropropagation
Mutation breeding
2

Somatic hybridization involves the fusion of isolated protoplasts from different plant species to form hybrid cells.

Which of the following statements about muscle contraction is correct?

ATP is not required for contraction.
Myosin heads form cross-bridges with actin filaments.
Calcium ions play no role in muscle contraction.
Actin filaments shorten during contraction.
2

Myosin heads form cross-bridges with actin filaments during muscle contraction​.

Performance Summary

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Physics
Chemistry
Botany
Zoology

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180