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POST UTME OSUSTECH 2020 Physics | Objective

Are you preparing for POST UTME OSUSTECH 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.

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Question 1

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 experiences a centripetal acceleration of 2 m/s², what is the magnitude of the net force acting on the particle?

A. 8 N

Correct B. 16 N

C. 32 N

D. 64 N

Correct Answer: B

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Question 2

A block of mass 5 kg is placed on a frictionless surface and connected to a spring with a spring cons\tant of 200 N/m. If the block is displaced by 0.2 m from its equilibrium position and released from rest, what is 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 3

A 10 V battery is connected in series with a 2 Ω resistor and a 4 Ω resistor. What is the current flowing through the 2 Ω resistor?

A. 1 A

Correct B. 2 A

C. 3 A

D. 4 A

Correct Answer: B

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Question 4

A gas expands from an initial volume of 2 L to a final volume of 5 L against an external pressure of 1 atm. If the work done by the gas is 10 J, what is the change in internal energy of the gas?

Correct A. -10 J

B. -5 J

C. 0 J

D. 5 J

Correct Answer: A

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Question 5

A 1000 Ω resistor is connected in parallel with a 2000 Ω resistor. What is the equivalent resis\tance of the circuit?

A. 500 Ω

B. 750 Ω

C. 1000 Ω

Correct D. 1500 Ω

Correct Answer: D

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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. 10 m/s^2

Correct B. 12 m/s^2

C. 15 m/s^2

D. 20 m/s^2

Correct Answer: B

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Question 7

A 100 W light bulb is connected to a 220 V power source. If the current drawn by the bulb is 0.5 A, what is the resis\tance of the bulb?

A. 20 Ω

B. 40 Ω

Correct C. 60 Ω

D. 80 Ω

Correct Answer: C

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Question 8

A gas occupies a volume of 2 L at a pressure of 1 atm. If the temperature is increased to 300 K, what is the new volume of the gas?

A. 2.5 L

Correct B. 3 L

C. 3.5 L

D. 4 L

Correct Answer: B

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Question 9

A 5 kg block is moving up a 30° inclined plane with a cons\tant acceleration of 2 m/s^2. If the force of friction is 10 N, what is the magnitude of the force applied to the block?

A. 20 N

B. 25 N

Correct C. 30 N

D. 35 N

Correct Answer: C

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Question 10

A 2 μF capacitor is connected in series with a 3 μF capacitor. If a 12 V battery is connected across the combination, what is the equivalent capaci\tance?

A. 1.5 μF

Correct B. 2.5 μF

C. 3.5 μF

D. 4.5 μF

Correct Answer: B

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Question 11

A 10 Ω resistor is connected in series with a 20 Ω resistor and a 30 Ω resistor. If a potential difference of 12 V is applied across the circuit, what is the current flowing through the 10 Ω resistor?

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 12

A wave with a frequency of 50 Hz and an amplitude of 2 m is traveling through a medium with a speed of 300 m/s. What is the wavelength of the wave?

A. 6 m

Correct B. 12 m

C. 15 m

D. 20 m

Correct Answer: B

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Question 13

A body is at rest on a horizontal surface. A force of 10 N is applied to the body in the horizontal direction. If the coefficient of friction between the body and the surface is 0.5, what is the acceleration of the body?

A. 2 m/s^2

Correct B. 5 m/s^2

C. 10 m/s^2

D. 20 m/s^2

Correct Answer: B

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Question 14

A 100 Ω resistor is connected in parallel with a 200 Ω resistor. If a potential difference of 20 V is applied across the circuit, what is the current flowing through the 100 Ω resistor?

A. 0.2 A

Correct B. 0.4 A

C. 0.6 A

D. 0.8 A

Correct Answer: B

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Question 15

A gas at a pressure of 100 kPa and a temperature of 300 K is allowed to expand to a volume of 2 m^3. If the gas is ideal, what is the final pressure of the gas?

A. 50 kPa

Correct B. 75 kPa

C. 100 kPa

D. 125 kPa

Correct Answer: B

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Question 16

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

A. 0

Correct B. L/2

C. L

D. nπL/2

Correct Answer: B

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Question 17

A capacitor consists of two parallel plates of area $A$ separated by a dis\tance $d$. The plates are charged to a potential difference $V$. What is the capaci\tance of the capacitor?

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

B. \frac{\epsilon_0 A}{2d}

C. \frac{2\epsilon_0 A}{d}

D. \frac{\epsilon_0 A}{3d}

Correct Answer: A

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Question 18

A radioactive sample decays with a half-life of $T_{1/2}$. What is the activity of the sample after a time $t$?

Correct A. A_0 \left$ \frac{1}{2} \right $^{t/T_{1/2}}

B. A_0 \left$ \frac{1}{2} \right $^{T_{1/2}/t}

C. A_0 \left$ \frac{1}{2} \right $^{t/T_{1/2}} + A_0

D. A_0 \left$ \frac{1}{2} \right $^{T_{1/2}/t} + A_0

Correct Answer: A

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Question 19

A block of mass $m$ is attached to a spring with a spring cons\tant $k$. The block is displaced by a dis\tance $x$ and then released. What is the frequency of the resulting simple harmonic motion?

Correct A. \frac{1}{2\pi} \sqrt{\frac{k}{m}}

B. \frac{1}{2\pi} \sqrt{\frac{m}{k}}

C. \frac{1}{2\pi} \sqrt{\frac{k}{m}} + \frac{1}{2\pi} \sqrt{\frac{m}{k}}

D. \frac{1}{2\pi} \sqrt{\frac{k}{m}} - \frac{1}{2\pi} \sqrt{\frac{m}{k}}

Correct Answer: A

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Question 20

A parallel plate capacitor consists of two plates of area $A$ separated by a dis\tance $d$. The plates are charged to a potential difference $V$. What is the energy stored in the capacitor?

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

Correct B. \frac{1}{2} \frac{\epsilon_0 A}{d} V^2

C. \frac{1}{2} CV^2 + \frac{1}{2} \frac{\epsilon_0 A}{d} V^2

D. \frac{1}{2} CV^2 - \frac{1}{2} \frac{\epsilon_0 A}{d} V^2

Correct Answer: B

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Question 21

A radioactive sample of Δₗ (Americium) has a half-life of 432 years. If the initial activity is 2.5 × 10¹ Bq, what is the activity after 720 years?

A. 1.1 × 10¹ Bq

Correct B. 1.2 × 10¹ Bq

C. 1.3 × 10¹ Bq

D. 1.4 × 10¹ Bq

Correct Answer: B

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Question 22

A 5 kg block of ice at 0°C is placed in a 10 kg block of copper at 100°C. Assuming no heat loss to the surroundings, what is the final temperature of the system?

A. 20°C

B. 30°C

Correct C. 40°C

D. 50°C

Correct Answer: C

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Question 23

A magnetic field of 2 T is applied to a coil of 100 turns and 0.1 m radius. If the current in the coil is 5 A, what is the induced emf?

A. 0.1 V

B. 0.2 V

Correct C. 0.3 V

D. 0.4 V

Correct Answer: C

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Question 24

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 0.5 m from its equilibrium position and released from rest, what is the maximum speed of the particle?

A. 0.5 m/s

B. 1.0 m/s

Correct C. 1.5 m/s

D. 2.0 m/s

Correct Answer: C

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Question 25

A capacitor of 100 µF is charged to a potential difference of 10 V. If the capacitor is then connected to a resistor of 100 Ω, what is the time cons\tant of the circuit?

A. 0.1 s

B. 0.2 s

Correct C. 0.3 s

D. 0.4 s

Correct Answer: C

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