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POST UTME CALEB UNIVERSITY 2022 Physics | Objective

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Question 1 View Details

A thermodynamic system undergoes a process from state A to state B. The initial temperature is 300 K, and the final temperature is 400 K. If the change in entropy is 150 J/K, what is the change in internal energy?

Correct A. -15000 J

B. 15000 J

C. -30000 J

D. 30000 J

Correct Answer: A

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Question 2 View Details

A magnetic field is produced by a current-carrying wire. If the current is 5 A and the length of the wire is 2 m, what is the magnetic field strength at a dis\tance of 1 m from the wire?

A. 0.1 T

Correct B. 0.2 T

C. 0.3 T

D. 0.4 T

Correct Answer: B

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Question 3 View Details

A particle of mass 2 kg is moving in a circular path with a radius of 3 m. If the particle has a velocity of 4 m/s, what is the centripetal force acting on the particle?

A. 10 N

B. 20 N

Correct C. 30 N

D. 40 N

Correct Answer: C

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Question 4 View Details

A radioactive sample has a half-life of 10 years. If the initial activity is 1000 Bq, what is the activity after 20 years?

A. 250 Bq

Correct B. 500 Bq

C. 750 Bq

D. 1000 Bq

Correct Answer: B

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Question 5 View Details

A block of mass 5 kg is moving with a velocity of 2 m/s. If the block is subject to a force of 10 N, what is the acceleration of the block?

A. 0.2 m/s^2

B. 0.5 m/s^2

Correct C. 1 m/s^2

D. 2 m/s^2

Correct Answer: C

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Question 6 View Details

A particle of mass $m$ is confined to a one-dimensional box of length $L$. The ground state wave function of the particle is given by $psi_0(x) = \sqrt{\frac{2}{L}} \sinleft$ \frac{pi x}{L}\right $$. What is the expectation value of the position operator in the ground state?

A. 0

Correct B. \frac{L}{2}

C. L

D. \frac{L}{\pi}

Correct Answer: B

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Question 7 View Details

A ray of light passes from air into a glass of re\fractive index $n$. If the angle of incidence is $\theta_i = 30^\circ$, what is the angle of re\fraction?

Correct A. 20^\circ

B. 30^\circ

C. 40^\circ

D. 50^\circ

Correct Answer: A

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Question 8 View Details

A block of mass $m$ is attached to a horizontal spring of force cons\tant $k$. The block is displaced by a dis\tance $x$ from its equilibrium position and released from rest. What is the angular frequency of the resulting simple harmonic motion?

Correct A. \sqrt{\frac{k}{m}}

B. \frac{k}{m}

C. \frac{m}{k}

D. \frac{1}{\sqrt{km}}

Correct Answer: A

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Question 9 View Details

A car of mass $m$ is traveling at a speed $v$ when it encounters a bump in the road. The car's speed is reduced by a factor of $\frac{1}{2}$ as it passes over the bump. What is the work done by the force of friction on the car?

Correct A. -\frac{1}{2}mv^2

B. \frac{1}{2}mv^2

C. -mv^2

D. mv^2

Correct Answer: A

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Question 10 View Details

A heat engine operates between two reservoirs at temperatures $T_1 = 300 K$ and $T_2 = 200 K$. The engine produces 100 J of work per cycle. What is the efficiency of the engine?

A. 0.25

Correct B. 0.33

C. 0.5

D. 0.67

Correct Answer: B

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Question 11 View Details

A 2.0 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. The block is displaced by 0.2 m from its equilibrium position and released from rest. Assuming the block undergoes simple harmonic motion, calculate the maximum speed of the block.

A. 1.0 m/s

B. 2.0 m/s

Correct C. 4.0 m/s

D. 5.0 m/s

Correct Answer: C

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Question 12 View Details

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

A. 20°

Correct B. 25°

C. 30°

D. 35°

Correct Answer: B

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Question 13 View Details

A 5.0 μC charge is placed at the center of a circular loop of radius 0.2 m. Calculate the electric field at a point on the circumference of the loop.

A. 2.0 x 10^4 N/C

Correct B. 4.0 x 10^4 N/C

C. 6.0 x 10^4 N/C

D. 8.0 x 10^4 N/C

Correct Answer: B

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Question 14 View Details

A nucleus of mass number 238 has an atomic number of 92. Calculate the number of protons in the nucleus.

Correct A. 92

B. 138

C. 146

D. 154

Correct Answer: A

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Question 15 View Details

A 10.0 kg block is moving at a speed of 5.0 m/s on a horizontal surface. If the coefficient of kinetic friction is 0.2, calculate the force of friction acting on the block.

A. 20.0 N

B. 30.0 N

Correct C. 40.0 N

D. 50.0 N

Correct Answer: C

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Question 16 View Details

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 force of 12 N, what is the magnitude of the acceleration of the particle?

A. 4 m/s^2

B. 6 m/s^2

Correct C. 8 m/s^2

D. 10 m/s^2

Correct Answer: C

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Question 17 View Details

A parallel plate capacitor consists of two plates of area 0.1 m^2, separated by a dis\tance of 0.01 m. The capaci\tance of the capacitor is 10 nF. If a potential difference of 5 V is applied across the plates, what is the magnitude of the electric field between the plates?

A. 100 V/m

Correct B. 200 V/m

C. 300 V/m

D. 400 V/m

Correct Answer: B

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Question 18 View Details

A gas is contained in a cylinder of volume 0.5 m^3 at a temperature of 300 K. If the temperature is increased to 400 K, what is the new volume of the gas?

A. 0.6 m^3

B. 0.7 m^3

Correct C. 0.8 m^3

D. 0.9 m^3

Correct Answer: C

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Question 19 View Details

A ray of light passes through a prism of angle 60° and is re\fracted at an angle of 30°. What is the angle of deviation of the ray?

A. 20°

Correct B. 30°

C. 40°

D. 50°

Correct Answer: B

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Question 20 View Details

A circuit consists of a 2 Ω resistor, a 3 Ω resistor, and a 4 Ω resistor connected in series. If a voltage of 12 V is applied across the circuit, what is the current flowing through the circuit?

A. 2 A

B. 3 A

Correct C. 4 A

D. 5 A

Correct Answer: C

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Question 21 View Details

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 force of 12 N, what is the angular velocity of the particle?

Correct A. $ \frac{1}{2} $ rad/s

B. $ \frac{1}{4} $ rad/s

C. $ \frac{1}{6} $ rad/s

D. $ \frac{1}{8} $ rad/s

Correct Answer: A

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Question 22 View Details

A gas is contained in a cylinder of volume 2 m³ at a pressure of 1 atm. If the temperature is increased by 10°C, what is the new pressure of the gas?

A. 1.2 atm

Correct B. 1.5 atm

C. 2.0 atm

D. 2.5 atm

Correct Answer: B

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Question 23 View Details

A block of mass 5 kg is attached to a horizontal spring with a spring cons\tant of 2 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. $ \sqrt{2} $ m/s

B. $ \sqrt{4} $ m/s

Correct C. $ \sqrt{6} $ m/s

D. $ \sqrt{8} $ m/s

Correct Answer: C

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Question 24 View Details

A sound wave with a frequency of 200 Hz is traveling through a medium with a speed of 340 m/s. If the wave is reflected off a surface, what is the frequency of the reflected wave?

A. 200 Hz

Correct B. 400 Hz

C. 600 Hz

D. 800 Hz

Correct Answer: B

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Question 25 View Details

A heat engine operates between two temperatures of 300 K and 400 K. If the engine has an efficiency of 30%, what is the temperature of the hot reservoir?

A. 300 K

B. 350 K

Correct C. 400 K

D. 450 K

Correct Answer: C

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