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POST UTME DELSU 2021 Physics | Objective

Are you preparing for POST UTME DELSU 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 10 mH inductor is connected in series with a 20 Ω resistor and a 100 V AC source. If the frequency of the AC source is 50 Hz, what is the impedance of the circuit?

A. 20 Ω

Correct B. 50 Ω

C. 100 Ω

D. 200 Ω

Correct Answer: B

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Question 2

A radioactive sample has a half-life of 5 years. If the initial activity of the sample is 100 Bq, what is the activity after 10 years?

Correct A. 10 Bq

B. 20 Bq

C. 50 Bq

D. 100 Bq

Correct Answer: A

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Question 3

A particle of mass 2 kg is moving in a circular path of radius 3 m with a speed 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

A 200 Ω resistor is connected in parallel with a 100 Ω resistor. What is the equivalent resis\tance of the circuit?

A. 100 Ω

Correct B. 150 Ω

C. 200 Ω

D. 250 Ω

Correct Answer: B

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Question 5

A 10 V AC source is connected in series with a 20 Ω resistor and a 5 mH inductor. If the frequency of the AC source is 100 Hz, what is the phase angle between the voltage and current?

A. 30°

B. 45°

Correct C. 60°

D. 90°

Correct Answer: C

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Question 6

A particle of mass 2 kg is attached to a spring with spring cons\tant 100 N/m. If the particle is displaced by 0.2 m from its equilibrium position and released from rest, calculate the total energy of the particle at time t = 0.

A. 10 J

Correct B. 20 J

C. 30 J

D. 40 J

Correct Answer: B

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Question 7

A parallel plate capacitor has a capaci\tance of 10 μF. If a potential difference of 50 V is applied across the plates, calculate the energy stored in the capacitor.

A. 0.25 J

Correct B. 0.5 J

C. 0.75 J

D. 1 J

Correct Answer: B

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Question 8

A block of mass 5 kg is moving with a velocity of 10 m/s on a frictionless surface. If the block is subjected to a force of 20 N, calculate the acceleration of the block.

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 9

A gas is heated from 20°C to 50°C at cons\tant pressure. If the initial volume of the gas is 2 L, calculate the final volume of the gas.

A. 4 L

B. 6 L

Correct C. 8 L

D. 10 L

Correct Answer: C

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Question 10

A particle of mass 3 kg is moving in a circular path with a radius of 2 m. If the particle is moving with a speed of 5 m/s, calculate 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 11

A particle of mass 2 kg is attached to a spring with a spring cons\tant of 100 N/m. If the particle is displaced by 0.2 m from its equilibrium position and released from rest, what is the maximum kinetic energy of the particle?

A. 0.2 J

Correct B. 0.4 J

C. 0.6 J

D. 0.8 J

Correct Answer: B

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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

B. 0.30

Correct C. 0.35

D. 0.40

Correct Answer: C

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Question 13

A photon of wavelength 400 nm is incident on a metal surface. If the work function of the metal is 2.5 eV, what is the maximum kinetic energy of the emitted electron?

A. 1.5 eV

Correct B. 2.0 eV

C. 2.5 eV

D. 3.0 eV

Correct Answer: B

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Question 14

A gas is compressed from an initial volume of 10 L to a final volume of 5 L. If the initial pressure is 2 atm and the final pressure is 4 atm, what is the work done on the gas?

A. 20 J

B. 40 J

Correct C. 60 J

D. 80 J

Correct Answer: C

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Question 15

A particle of mass 1 kg is moving in a circular path with a radius of 2 m. If the particle has a speed 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 16

A uniform magnetic field of strength 2.0 T is applied to a coil of wire with 100 turns and a radius of 0.05 m. If the coil is rotated at a frequency of 50 Hz, what is the maximum value of the induced emf?

A. 10 V

Correct B. 20 V

C. 30 V

D. 40 V

Correct Answer: B

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Question 17

A light ray passes through a prism with an angle of re\fraction of 30°. If the angle of incidence is 20°, what is the angle of emergence?

A. 10°

B. 20°

Correct C. 30°

D. 40°

Correct Answer: C

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Question 18

A circuit consists of a 10 Ω resistor, a 20 Ω resistor, and a 50 Ω resistor connected in series. If a voltage of 120 V is applied across the circuit, what is the current flowing through the 20 Ω resistor?

A. 2 A

Correct B. 4 A

C. 6 A

D. 8 A

Correct Answer: B

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Question 19

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

A. -1

Correct B. -2

C. -3

D. -4

Correct Answer: B

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Question 20

A capacitor with a capaci\tance of 10 μF is connected in series with a resistor of 20 Ω. If a voltage of 100 V is applied across the circuit, what is the time cons\tant of the circuit?

Correct A. 0.2 s

B. 0.4 s

C. 0.6 s

D. 0.8 s

Correct Answer: A

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Question 21

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

Correct A. \frac{2mv^2}{R}

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

C. \frac{mv^2}{4R}

D. \frac{mv^2}{R}

Correct Answer: A

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Question 22

A block of mass $m$ is attached to a horizontal, massless spring with a spring cons\tant $k$. The block is displaced by a dis\tance $x$ from its equilibrium position and released from rest. Assuming the block undergoes simple harmonic motion, what is the maximum speed $v_{max}$ of the block?

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

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

C. \sqrt{\frac{m}{k}}x

D. \frac{1}{2}mx^2

Correct Answer: A

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Question 23

A circuit consists of a battery, a resistor, and an inductor connected in series. The circuit is driven by a \sinusoidal voltage source with a frequency $f$ and an amplitude $V_0$. If the inductor has an induc\tance $L$ and the resistor has a resis\tance $R$, what is the impedance $Z$ of the circuit?

Correct A. \sqrt{R^2 + $ \omega L $^2}

B. \frac{R}{\omega L}

C. \frac{\omega L}{R}

D. \frac{R + \omega L}{\omega L}

Correct Answer: A

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Question 24

A container of volume $V$ is filled with a gas at a temperature $T$ and a pressure $P$. If the temperature is increased to $T + \Delta T$ and the pressure is increased to $P + \Delta P$, what is the new volume $V'$ of the gas?

Correct A. \frac{P + \Delta P}{T + \Delta T}

B. \frac{P}{T + \Delta T}

C. \frac{P + \Delta P}{T}

D. \frac{P}{T + \Delta T}

Correct Answer: A

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Question 25

A p\endulum of length $L$ and mass $m$ is released from rest at an angle $\theta$ from the vertical. Assuming the p\endulum undergoes simple harmonic motion, what is the period $T$ of the p\endulum?

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

B. \pi\sqrt{\frac{L}{g}}

C. \frac{1}{2}\pi\sqrt{\frac{L}{g}}

D. \frac{1}{4}\pi\sqrt{\frac{L}{g}}

Correct Answer: A

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