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POST UTME VERITAS UNIVERSITY 2023 Physics | Objective

Are you preparing for POST UTME VERITAS UNIVERSITY exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2023 Physics (Objective) questions designed to simulate the real exam environment.

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Question 1

A parallel plate capacitor consists of two plates, each of area $A$ and separated by a dis\tance $d$. The space between the plates is filled with a dielectric material of dielectric cons\tant $K$. If a potential difference of $V$ is applied across the plates, calculate the capaci\tance of the capacitor.

Correct A. \frac{KA\epsilon_0}{d}

B. \frac{KA\epsilon_0}{d^2}

C. \frac{KA^2\epsilon_0}{d}

D. \frac{KA\epsilon_0}{d^3}

Correct Answer: A

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Question 2

A gas is compressed adiabatically from an initial volume of $V_i$ to a final volume of $V_f$. If the initial temperature is $T_i$ and the final temperature is $T_f$, calculate the ratio of the final temperature to the initial temperature.

Correct A. \left$ \frac{V_f}{V_i}\right $^{\gamma-1}

B. \left$ \frac{V_i}{V_f}\right $^{\gamma-1}

C. \left$ \frac{V_f}{V_i}\right $^{\gamma+1}

D. \left$ \frac{V_i}{V_f}\right $^{\gamma+1}

Correct Answer: A

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Question 3

A light ray passes through a prism and is re\fracted. If the angle of incidence is $i$ and the angle of re\fraction is $r$, calculate the angle of deviation $D$.

Correct A. D=i-r

B. D=i+r

C. D=r-i

D. D=r+i

Correct Answer: A

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Question 4

A circuit consists of a resistor $R$, an inductor $L$, and a capacitor $C$ connected in series. If the frequency of the alternating current is $f$, calculate the impedance $Z$ of the circuit.

Correct A. Z=\sqrt{R^2+$ \omega L-\frac{1}{\omega C} $^2}

B. Z=\sqrt{R^2+$ \omega L+\frac{1}{\omega C} $^2}

C. Z=\sqrt{R^2-$ \omega L-\frac{1}{\omega C} $^2}

D. Z=\sqrt{R^2-$ \omega L+\frac{1}{\omega C} $^2}

Correct Answer: A

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Question 5

A heat engine operates between two temperatures $T_1$ and $T_2$. If the efficiency of the engine is $\eta$, calculate the ratio of the temperature $T_1$ to the temperature $T_2$.

Correct A. \frac{T_1}{T_2}=1+\frac{\eta}{1-\eta}

B. \frac{T_1}{T_2}=1-\frac{\eta}{1-\eta}

C. \frac{T_1}{T_2}=\frac{1}{1-\eta}

D. \frac{T_1}{T_2}=\frac{1}{1+\eta}

Correct Answer: A

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Question 6

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

Correct A. 12 N

B. 16 N

C. 20 N

D. 24 N

Correct Answer: A

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Question 7

A block of mass 5 kg is placed on a frictionless surface and a horizontal force of 10 N is applied to it. If the coefficient of static friction between the block and the surface is 0.5, determine the acceleration of the block.

A. 2 m/s^2

Correct B. 4 m/s^2

C. 6 m/s^2

D. 8 m/s^2

Correct Answer: B

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Question 8

A gas is compressed from an initial volume of 2 m^3 to a final volume of 1 m^3. If the initial pressure is 100 kPa and the final pressure is 200 kPa, determine the work done on the gas.

A. 100 J

B. 200 J

Correct C. 300 J

D. 400 J

Correct Answer: C

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Question 9

A particle of mass 1 kg is moving in a straight line with an initial velocity of 5 m/s. If a force of 2 N is applied to the particle, determine its acceleration after 2 seconds.

A. 1 m/s^2

Correct B. 2 m/s^2

C. 3 m/s^2

D. 4 m/s^2

Correct Answer: B

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Question 10

A block of mass 3 kg is placed on a frictionless surface and a horizontal force of 15 N is applied to it. If the coefficient of kinetic friction between the block and the surface is 0.3, determine the acceleration of the block.

A. 4 m/s^2

B. 5 m/s^2

Correct C. 6 m/s^2

D. 7 m/s^2

Correct Answer: C

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Question 11

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. 8 m/s^2

B. 12 m/s^2

Correct C. 16 m/s^2

D. 20 m/s^2

Correct Answer: C

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Question 12

A heat engine operates between two reservoirs at temperatures 500 K and 300 K. If the engine absorbs 1000 J of heat from the high-temperature reservoir, what is the efficiency of the engine?

A. 0.25

Correct B. 0.30

C. 0.35

D. 0.40

Correct Answer: B

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Question 13

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. If the projectile lands 10 m away from the launch point, what is the time of flight?

A. 1.5 s

Correct B. 2.0 s

C. 2.5 s

D. 3.0 s

Correct Answer: B

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Question 14

A radioactive sample decays from 100 g to 50 g in 10 days. What is the half-life of the sample?

A. 5 days

Correct B. 10 days

C. 15 days

D. 20 days

Correct Answer: B

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Question 15

A magnetic field of 0.5 T is applied to a current-carrying wire of length 2 m. If the current in the wire is 5 A, what is the force on the wire?

A. 0.5 N

Correct B. 1.0 N

C. 1.5 N

D. 2.0 N

Correct Answer: B

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Question 16

A 1000 Hz AC voltage source is connected to a series RLC circuit with R = 10 Ω, L = 0.1 H, and C = 10 × 10^$ -6 $ F. The circuit is initially at rest. At t = 0, the switch is closed. Find the current in the circuit at t = 0.1 s.

A. 5 A

Correct B. 10 A

C. 20 A

D. 50 A

Correct Answer: B

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Question 17

A block of mass 2 kg is placed on a horizontal, frictionless surface. A horizontal force of 10 N is applied to the block. Find the acceleration of the block.

A. 2 m/s^2

B. 5 m/s^2

Correct C. 10 m/s^2

D. 20 m/s^2

Correct Answer: C

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Question 18

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

A. 20°

Correct B. 30°

C. 40°

D. 50°

Correct Answer: B

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Question 19

A lens with focal length 20 cm is used to form an image of an object 30 cm away. Find the magnification of the image.

A. -1

B. -2

Correct C. -3

D. -4

Correct Answer: C

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Question 20

A 100 W light bulb is connected to a 220 V power source. Find the current in the bulb.

A. 0.5 A

Correct B. 1 A

C. 2 A

D. 5 A

Correct Answer: B

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Question 21

A 10 kg block is attached to a horizontal, massless spring with spring cons\tant 100 N/m. The block is displaced by 2 m from its equilibrium position and released from rest. Find 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 22

A 5 kg block is moving at 10 m/s on a horizontal, frictionless surface. A 2 kg block is dropped from rest above the first block. Find the velocity of the 5 kg block after the collision.

A. 5 m/s

B. 10 m/s

Correct C. 15 m/s

D. 20 m/s

Correct Answer: C

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Question 23

A 10 kg block is moving at 5 m/s on a horizontal, frictionless surface. A 5 kg block is moving at 10 m/s in the opposite direction. Find the velocity of the 10 kg block after the collision.

A. 0 m/s

B. 2.5 m/s

Correct C. 5 m/s

D. 10 m/s

Correct Answer: C

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Question 24

A 5 kg block is moving at 10 m/s on a horizontal, frictionless surface. A 2 kg block is moving at 5 m/s in the opposite direction. Find the velocity of the 5 kg block after the collision.

A. 5 m/s

B. 7.5 m/s

Correct C. 10 m/s

D. 12.5 m/s

Correct Answer: C

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Question 25

A uniform magnetic field of magnitude 2 T is directed along the positive z-axis. A current of 5 A flows in a circular loop of radius 0.1 m, placed in the x-y plane. The loop is centered at the origin. What is the magnitude of the magnetic moment of the loop?

A. 0.1 A m^2

B. 0.5 A m^2

Correct C. 1 A m^2

D. 5 A m^2

Correct Answer: C

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