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POST UTME CALEB UNIVERSITY 2021 Physics | Objective

Are you preparing for POST UTME CALEB UNIVERSITY exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2021 Physics (Objective) questions designed to simulate the real exam environment.

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Question 1

A particle of mass 2 kg is attached to a spring with spring cons\tant 100 N/m. It is displaced by 0.5 m from its equilibrium position and released from rest. Assuming the motion is simple harmonic, calculate the maximum speed of the particle.

A. 1 m/s

Correct B. 2 m/s

C. 3 m/s

D. 4 m/s

Correct Answer: B

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Question 2

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

Correct A. 20°

B. 30°

C. 40°

D. 50°

Correct Answer: A

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Question 3

A radioactive sample decays with a half-life of 10 years. If the initial activity is 100 Bq, calculate the activity after 20 years.

Correct A. 12.5 Bq

B. 25 Bq

C. 50 Bq

D. 100 Bq

Correct Answer: A

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Question 4

A particle of mass 1 kg is moving in a circular path with a radius of 2 m. If the particle's speed is 4 m/s, calculate the centripetal acceleration.

A. 1 m/s^2

B. 2 m/s^2

Correct C. 4 m/s^2

D. 8 m/s^2

Correct Answer: C

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Question 5

A light ray passes through a convex lens of focal length 10 cm. If the object dis\tance is 20 cm, calculate the image dis\tance.

A. 10 cm

Correct B. 20 cm

C. 30 cm

D. 40 cm

Correct Answer: B

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Question 6

A 100 Hz AC voltage source is connected in series with a 10 mH inductor and a 20 Ω resistor. The initial current is 0 A. Find the current at t = 0.1 s.

A. 0.5 A

Correct B. 1.0 A

C. 1.5 A

D. 2.0 A

Correct Answer: B

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Question 7

A particle of mass 2 kg is moving in a circular path of radius 5 m with a cons\tant speed of 10 m/s. Find the magnitude of the force acting on the particle.

A. 20 N

B. 30 N

Correct C. 40 N

D. 50 N

Correct Answer: C

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Question 8

A 100 V AC voltage source is connected in parallel with a 20 Ω resistor and a 10 μF capacitor. Find 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 9

A 2 kg object is moving in a straight line with an initial velocity of 5 m/s. After 2 s, the velocity is 10 m/s. Find the acceleration of the object.

A. 2.5 m/s^2

Correct B. 5.0 m/s^2

C. 7.5 m/s^2

D. 10.0 m/s^2

Correct Answer: B

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Question 10

A 100 W light bulb is connected to a 220 V AC voltage source. Find the current drawn by the bulb.

A. 0.5 A

Correct B. 1.0 A

C. 1.5 A

D. 2.0 A

Correct Answer: B

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Question 11

A 2.5 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. The block is displaced by 0.15 m from its equilibrium position and released from rest. Assuming the block undergoes simple harmonic motion, determine the maximum speed of the block as it passes through the equilibrium position.

A. 2.5 m/s

Correct B. 5.0 m/s

C. 7.5 m/s

D. 10.0 m/s

Correct Answer: B

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Question 12

A parallel plate capacitor consists of two plates, each of area 0.05 m^2, separated by a dis\tance of 0.005 m. The space between the plates is filled with a dielectric material of dielectric cons\tant 3. The capacitor is connected to a battery of emf 12 V. Determine the capaci\tance of the capacitor.

A. 0.01 F

B. 0.02 F

Correct C. 0.03 F

D. 0.04 F

Correct Answer: C

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Question 13

A particle of mass 0.5 kg is moving in a circular path of radius 0.2 m with a speed of 4 m/s. Determine the centripetal acceleration of the particle.

A. 0.5 m/s^2

B. 1.0 m/s^2

C. 1.5 m/s^2

Correct D. 2.0 m/s^2

Correct Answer: D

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Question 14

A 10 kg block is moving on a rough horizontal surface with a speed of 2 m/s. The coefficient of kinetic friction between the block and the surface is 0.2. Determine the force of friction acting on the block.

A. 2 N

Correct B. 4 N

C. 6 N

D. 8 N

Correct Answer: B

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Question 15

A 5 kg block is attached to a horizontal, massless spring with a force cons\tant of 50 N/m. The block is displaced by 0.1 m from its equilibrium position and released from rest. Assuming the block undergoes simple harmonic motion, determine the maximum kinetic energy of the block as it passes through the equilibrium position.

A. 0.25 J

B. 0.5 J

C. 0.75 J

Correct D. 1.0 J

Correct Answer: D

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Question 16

A particle of mass $m$ is moving in a circular orbit of radius $R$ around a fixed point $O$. The particle's velocity is $v$ and its angular momentum is $L$. If the particle's kinetic energy is doubled, what is the new angular momentum $L'$?

Correct A. \frac{L}{\sqrt{2}}

B. \frac{L}{2}

C. \frac{L}{\sqrt{2}}

D. \frac{L}{2}

Correct Answer: A

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Question 17

A block of mass $M$ is placed on a frictionless surface and connected to a horizontal spring of spring cons\tant $k$. The block is displaced by a dis\tance $x$ and released from rest. If the block's velocity is $v$ at time $t$, what is the force exerted by the spring on the block?

A. -kv

Correct B. -kx

C. kv

D. kx

Correct Answer: B

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Question 18

A particle of mass $m$ is moving in a straight line with velocity $v$. If the particle's kinetic energy is $K$, what is the force exerted on the particle by a stationary object?

A. \frac{K}{v}

Correct B. \frac{K}{v^2}

C. \frac{K}{v}

D. \frac{K}{v^2}

Correct Answer: B

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Question 19

A wave of wavelength $\lambda$ and frequency $f$ is traveling through a medium with speed $v$. If the wave's amplitude is $A$, what is the intensity of the wave?

Correct A. \frac{1}{2} \rho \omega^2 A^2 v

B. \frac{1}{2} \rho \omega^2 A^2 v^2

C. \frac{1}{2} \rho \omega^2 A^2 v

D. \frac{1}{2} \rho \omega^2 A^2 v^2

Correct Answer: A

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Question 20

A particle of mass $m$ is moving in a circular orbit of radius $R$ around a fixed point $O$. If the particle's velocity is $v$ and its angular momentum is $L$, what is the force exerted on the particle by the fixed point?

Correct A. \frac{L^2}{mR^2}

B. \frac{L^2}{mR^3}

C. \frac{L^2}{mR^2}

D. \frac{L^2}{mR^3}

Correct Answer: A

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Question 21

A uniform magnetic field of magnitude 2.5 T is directed along the z-axis. A current of 5 A flows in a circular loop of radius 0.1 m, placed in the x-y plane. What is the magnitude of the magnetic moment of the loop?

A. 0.05 A m^2

Correct B. 0.1 A m^2

C. 0.15 A m^2

D. 0.2 A m^2

Correct Answer: B

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Question 22

A body is at rest on a horizontal, frictionless surface. A horizontal force of 10 N is applied to the body, cau\sing it to move with a cons\tant acceleration of 2 m/s^2. What is the mass of the body?

A. 5 kg

Correct B. 10 kg

C. 15 kg

D. 20 kg

Correct Answer: B

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Question 23

A heat engine operates between two temperatures, 500 K and 300 K. The engine has an efficiency of 30%. What is the temperature of the hot reservoir?

A. 400 K

B. 500 K

Correct C. 600 K

D. 700 K

Correct Answer: C

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Question 24

A wave of frequency 100 Hz and amplitude 0.05 m is traveling along a string. What is the wavelength of the wave?

A. 0.5 m

Correct B. 1 m

C. 2 m

D. 5 m

Correct Answer: B

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Question 25

A point charge of +2 μC is placed at the origin. What is the electric potential at a point 0.1 m away from the charge?

A. 100 V

Correct B. 200 V

C. 300 V

D. 400 V

Correct Answer: B

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