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POST UTME UNILAG 2018 Physics | Objective

Are you preparing for POST UTME UNILAG exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2018 Physics (Objective) questions designed to simulate the real exam environment.

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Question 1

A particle of mass 2 kg is moving in a circular path of radius 3 m with a cons\tant speed of 4 m/s. If the particle is subjected to a centripetal acceleration of 2 m/s^2, what is the magnitude of the force acting on the particle?

A. 10 N

B. 12 N

Correct C. 16 N

D. 20 N

Correct Answer: C

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Question 2

A block of mass 5 kg is placed on a frictionless surface and attached to a horizontal spring with a force cons\tant of 200 N/m. If the block is displaced by 2 m from its equilibrium position and released from rest, what is the maximum speed of the block?

A. 2 m/s

B. 4 m/s

Correct C. 6 m/s

D. 8 m/s

Correct Answer: C

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Question 3

A parallel plate capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 12 V. If the plates are separated by a dis\tance of 2 mm, what is the surface charge density?

A. 20 μC/m^2

B. 40 μC/m^2

Correct C. 60 μC/m^2

D. 80 μC/m^2

Correct Answer: C

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Question 4

A radioactive sample has an initial activity of 100 Bq. If the half-life of the sample is 2 hours, what is the activity of the sample after 4 hours?

Correct A. 25 Bq

B. 50 Bq

C. 75 Bq

D. 100 Bq

Correct Answer: A

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Question 5

A magnetic field of 0.5 T is applied to a coil of 100 turns and a radius of 0.2 m. If the coil is rotated by 90°, what is the induced emf?

A. 0.2 V

Correct B. 0.35 V

C. 0.5 V

D. 0.7 V

Correct Answer: B

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Question 6

A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. The particle experiences a centripetal force $F_c = \frac{mv^2}{r}$. If the particle's speed is doubled to $2v$, what is the new centripetal force $F_c'$?

Correct A. 4mv^2/r

B. 2mv^2/r

C. mv^2/r

D. mv^2/2r

Correct Answer: A

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Question 7

A light ray passes through a prism of angle $A$ and is re\fracted at an angle $B$. If the angle of incidence is $i$ and the angle of emergence is $e$, what is the angle of deviation $D$?

Correct A. A + B

B. A - B

C. i + e

D. i - e

Correct Answer: A

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Question 8

A simple harmonic motion has a period $T$ and an amplitude $A$. If the motion is damped by a force proportional to the velocity, what is the equation of motion?

Correct A. x(t) = Ae^{-\beta t} \cos$ \omega t + \phi $

B. x(t) = Ae^{\beta t} \cos$ \omega t + \phi $

C. x(t) = Ae^{-\beta t} \sin$ \omega t + \phi $

D. x(t) = Ae^{\beta t} \sin$ \omega t + \phi $

Correct Answer: A

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Question 9

A circuit consists of a resistor $R$, an inductor $L$, and a capacitor $C$ connected in series. If the circuit is driven by a voltage source $V_0$ with a frequency $f$, what is the impedance $Z$?

Correct A. \sqrt{R^2 + $ X_L - X_C $^2}

B. R + X_L - X_C

C. R - X_L + X_C

D. R + X_L + X_C

Correct Answer: A

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Question 10

A projectile is launched from the origin with an initial velocity $v_0$ at an angle $\theta$ above the horizontal. If the air resis\tance is negligible, what is the equation of the trajectory?

Correct A. y = x \tan \theta - \frac{g x^2}{2 v_0^2 \cos^2 \theta}

B. y = x \tan \theta + \frac{g x^2}{2 v_0^2 \cos^2 \theta}

C. y = x \tan \theta - \frac{g x^2}{v_0^2 \cos^2 \theta}

D. y = x \tan \theta + \frac{g x^2}{v_0^2 \cos^2 \theta}

Correct Answer: A

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Question 11

A 2.5 mH inductor is connected in series with a 10 Ω resistor and a 20 V battery. If the inductor is initially at rest, what is the current in the circuit after 5 ms?

A. 0.04 A

Correct B. 0.08 A

C. 0.12 A

D. 0.16 A

Correct Answer: B

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Question 12

A sound wave with a frequency of 200 Hz and a wavelength of 1.5 m is traveling through a medium with a speed of 340 m/s. What is the amplitude of the wave?

A. 0.01 m

B. 0.02 m

Correct C. 0.03 m

D. 0.04 m

Correct Answer: C

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Question 13

A 5 kg block is susp\ended from a spring with a spring cons\tant of 100 N/m. If the block is displaced by 0.2 m from its equilibrium position, what is the potential energy stored in the spring?

A. 1 J

Correct B. 2 J

C. 3 J

D. 4 J

Correct Answer: B

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Question 14

A 10 Ω resistor is connected in series with a 20 Ω resistor and a 30 V battery. If the current in the circuit is 0.5 A, what is the potential difference across the 10 Ω resistor?

A. 2 V

B. 3 V

C. 4 V

Correct D. 5 V

Correct Answer: D

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Question 15

A 5 L container is filled with 2 moles of an ideal gas at a temperature of 300 K. If the gas is heated to a temperature of 400 K, what is the new volume of the gas?

A. 4 L

B. 5 L

Correct C. 6 L

D. 7 L

Correct Answer: C

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Question 16

A particle of mass 2 kg is moving in a circular path of radius 3 m with a cons\tant speed of 4 m/s. If the particle is subject to a centripetal force of 12 N, what is the magnitude of the acceleration of the particle?

A. 2 m/s^2

B. 4 m/s^2

Correct C. 6 m/s^2

D. 8 m/s^2

Correct Answer: C

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Question 17

A ray of light passes from air into a glass of re\fractive index 1.5. If the angle of incidence is 30°, what is the angle of re\fraction?

Correct A. 20°

B. 30°

C. 40°

D. 50°

Correct Answer: A

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Question 18

A heat engine operates between two temperatures of 500 K and 300 K. If the efficiency of the engine is 30%, what is the work done by the engine per cycle?

A. 100 J

B. 200 J

Correct C. 300 J

D. 400 J

Correct Answer: C

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Question 19

A particle of mass 1 kg is in a one-dimensional potential well of depth 10 eV. If the particle is in the ground state, what is the wavelength of the particle?

A. 1 nm

Correct B. 2 nm

C. 3 nm

D. 4 nm

Correct Answer: B

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Question 20

A projectile is launched from the origin with an initial velocity of 20 m/s at an angle of 60° above the horizontal. If the acceleration due to gravity is 9.8 m/s^2, what is the maximum height reached by the projectile?

A. 10 m

Correct B. 20 m

C. 30 m

D. 40 m

Correct Answer: B

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Question 21

A 2.5 mH inductor is connected in series with a 10 Ω resistor and a 20 V AC source. If the frequency of the AC source is 50 Hz, calculate the impedance of the circuit.

A. 10 Ω

B. 20 Ω

Correct C. 30 Ω

D. 40 Ω

Correct Answer: C

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Question 22

A particle of mass 2 kg is moving in a circular path of radius 3 m with a cons\tant speed of 4 m/s. If the particle is subject to a centripetal force of 10 N, calculate the time taken by the particle to complete one revolution.

A. 2 s

Correct B. 4 s

C. 6 s

D. 8 s

Correct Answer: B

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Question 23

A light ray passes through a prism of angle 60° and is deviated by 30°. If the angle of incidence is 45°, calculate the angle of emergence.

A. 30°

B. 45°

C. 60°

Correct D. 75°

Correct Answer: D

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Question 24

A 5 μF capacitor is connected in series with a 10 kΩ resistor and a 20 V DC source. If the time cons\tant of the circuit is 2 s, calculate the charge stored in the capacitor after 4 s.

A. 10 μC

Correct B. 20 μC

C. 30 μC

D. 40 μC

Correct Answer: B

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Question 25

A 2 kg block is moving with a speed of 5 m/s on a rough horizontal surface. If the coefficient of kinetic friction is 0.5, calculate the force of friction acting on the block.

A. 5 N

B. 10 N

Correct C. 15 N

D. 20 N

Correct Answer: C

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