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POST UTME DELSU 2020 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 2020 Physics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1

A 50 Hz, 200 V AC supply is connected to a circuit containing a 100 Ω resistor in series with a 20 mH inductor. What is the impedance of the circuit?

Correct A. \( 100 \sqrt{1 + \( 20 pi \ \)^2} ) Ω

B. \( 100 \sqrt{1 + \( 20 pi \ \)^2} ) Ω

C. \( 100 \sqrt{1 + \( 20 pi \ \)^2} ) Ω

D. \( 100 \sqrt{1 + \( 20 pi \ \)^2} ) Ω

Correct Answer: A

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Question 2

A sound wave with a frequency of 200 Hz has a maximum displacement of 0.5 mm. What is the amplitude of the wave?

Correct A. 0.5 mm

B. 0.5 mm

C. 0.5 mm

D. 0.5 mm

Correct Answer: A

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Question 3

A 10 kg block is attached to a horizontal, massless spring with a spring cons\tant of 100 N/m. The block is displaced by 0.2 m from its equilibrium position and released from rest. What is the angular frequency of the resulting simple harmonic motion?

Correct A. \( \sqrt{\frac{100}{10}} \) rad/s

B. \( \sqrt{\frac{100}{10}} \) rad/s

C. \( \sqrt{\frac{100}{10}} \) rad/s

D. \( \sqrt{\frac{100}{10}} \) rad/s

Correct Answer: A

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Question 4

A magnetic field of 0.5 T is directed perp\endicular to the plane of a circular loop of radius 0.1 m. What is the magnetic flux through the loop?

Correct A. \( 0.5 \times 0.1 pi \) Wb

B. \( 0.5 \times 0.1 pi \) Wb

C. \( 0.5 \times 0.1 pi \) Wb

D. \( 0.5 \times 0.1 pi \) Wb

Correct Answer: A

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Question 5

A 2 kg object is moving in a circular path with a radius of 1 m. If the object's speed is 4 m/s, what is its centripetal acceleration?

Correct A. \( \frac{4^2}{1} \) m/s^2

B. \( \frac{4^2}{1} \) m/s^2

C. \( \frac{4^2}{1} \) m/s^2

D. \( \frac{4^2}{1} \) m/s^2

Correct Answer: A

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Question 6

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. 8 m/s^2

Correct B. 12 m/s^2

C. 16 m/s^2

D. 20 m/s^2

Correct Answer: B

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Question 7

A parallel plate capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 20 V. If the dis\tance between the plates is doubled, what is the new capaci\tance?

A. 5 μF

B. 10 μF

C. 20 μF

Correct D. 40 μF

Correct Answer: D

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Question 8

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, what is the angle of re\fraction?

A. 20°

B. 30°

Correct C. 40°

D. 50°

Correct Answer: C

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Question 9

A current of 5 A flows through a resistor of 10 Ω for 2 seconds. What is the energy dissipated in the resistor?

A. 10 J

B. 20 J

Correct C. 30 J

D. 40 J

Correct Answer: C

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Question 10

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. What is the maximum height reached by the projectile?

A. 10 m

B. 15 m

Correct C. 20 m

D. 25 m

Correct Answer: C

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Question 11

A solid cylindrical rod of radius 0.05 m and length 1.5 m is made of a material with Young's modulus of 2.0 x 10^11 Pa. If a force of 50 N is applied \tangentially to the rod, what is the angular displacement of the rod?

A. 0.01 rad

Correct B. 0.02 rad

C. 0.03 rad

D. 0.04 rad

Correct Answer: B

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Question 12

A parallel plate capacitor has a capaci\tance of 10 μF. If a potential difference of 5 V is applied across the plates, what is the energy stored in the capacitor?

A. 25 μJ

Correct B. 50 μJ

C. 75 μJ

D. 100 μJ

Correct Answer: B

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Question 13

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

A. 20°

Correct B. 25°

C. 30°

D. 35°

Correct Answer: B

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Question 14

A gas at a pressure of 2 atm and temperature of 300 K is heated to a temperature of 400 K. What is the final pressure of the gas?

A. 2.5 atm

Correct B. 3.0 atm

C. 3.5 atm

D. 4.0 atm

Correct Answer: B

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Question 15

A 5 μF capacitor is connected in series with a 10 kΩ resistor. If a voltage of 12 V is applied across the circuit, what is the time cons\tant of the circuit?

A. 0.2 s

Correct B. 0.5 s

C. 1.0 s

D. 2.0 s

Correct Answer: B

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Question 16

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

A. \frac{1}{2}kA^2

B. \frac{1}{2}kA^2\cos\( \omega t \)

Correct C. \frac{1}{2}kA^2\cos^2\( \omega t \)

D. \frac{1}{2}kA^2\sin\( \omega t \)

Correct Answer: C

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Question 17

A projectile is launched from the origin with an initial velocity of 20 m/s at an angle of 60\circ above the horizontal. Assuming the acceleration due to gravity is 9.8 m/s^2, calculate the time of flight of the projectile.

Correct A. \frac{2v_0\sin\theta}{g}

B. \frac{v_0\sin\theta}{g}

C. \frac{v_0\cos\theta}{g}

D. \frac{v_0\sin\theta}{2g}

Correct Answer: A

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Question 18

A car is traveling at a speed of 50 m/s when it encounters a curve with a radius of 100 m. Assuming the car does not change speed, calculate the centripetal acceleration of the car.

Correct A. \frac{v^2}{r}

B. \frac{2v^2}{r}

C. \frac{v^2}{2r}

D. \frac{v^2}{4r}

Correct Answer: A

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Question 19

A block of mass 5 kg is attached to a horizontal spring with a spring cons\tant of 200 N/m. The block is displaced from its equilibrium position by 0.2 m and released from rest. Assuming the motion is simple harmonic, calculate the angular frequency of the block.

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 20

A particle of mass 3 kg is moving in a circular path with a radius of 0.5 m. The particle has a velocity of 10 m/s. Assuming the particle is subject to a centripetal force, calculate the magnitude of the centripetal force.

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

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

C. \frac{mv^2}{2r}

D. \frac{mv^2}{4r}

Correct Answer: A

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Question 21

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?

A. 2 rad/s

Correct B. 4 rad/s

C. 6 rad/s

D. 8 rad/s

Correct Answer: B

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Question 22

A capacitor of capaci\tance 10 μF is connected in series with a resistor of resis\tance 20 Ω. If a voltage of 50 V is applied across the circuit, what is the current flowing through the circuit?

Correct A. 0.25 A

B. 0.5 A

C. 1 A

D. 2 A

Correct Answer: A

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Question 23

A body of mass 5 kg is moving with a velocity of 10 m/s. If it is subjected to a force of 20 N, what is the acceleration of the body?

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 24

A heat engine operates between the temperatures of 300 K and 400 K. If it has an efficiency of 30%, what is the work done by the engine?

A. 100 J

B. 200 J

Correct C. 300 J

D. 400 J

Correct Answer: C

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Question 25

A circuit consists of a 20 Ω resistor and a 10 μF capacitor in series. If a voltage of 50 V is applied across the circuit, what is the time cons\tant of the circuit?

A. 0.2 s

Correct B. 0.4 s

C. 0.6 s

D. 0.8 s

Correct Answer: B

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