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POST UTME UNIOSUN 2021 Physics | Objective

Are you preparing for POST UTME UNIOSUN 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 uniform magnetic field of magnitude 2 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. 0.5 A m^2

B. 1 A m^2

Correct C. 2 A m^2

D. 5 A m^2

Correct Answer: C

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Question 2

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 magnitude of the 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 3

A heat engine operates between two temperatures of 500 K and 300 K. If the engine absorbs 100 J of heat from the high-temperature reservoir, what is the efficiency of the engine?

A. 0.2

Correct B. 0.3

C. 0.4

D. 0.5

Correct Answer: B

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Question 4

A circuit consists of a 10 Ω resistor, a 20 Ω resistor, and a 30 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. 0.4 A

B. 0.6 A

Correct C. 0.8 A

D. 1 A

Correct Answer: C

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Question 5

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

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 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 force?

A. 10 N

Correct B. 12 N

C. 15 N

D. 20 N

Correct Answer: B

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Question 7

A gas is heated from 300 K to 400 K at cons\tant volume. If the initial pressure is 2 atm, what is the final pressure?

A. 1.5 atm

B. 2 atm

Correct C. 2.5 atm

D. 3 atm

Correct Answer: C

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Question 8

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

A. 0.5 m/s^2

B. 1 m/s^2

Correct C. 2 m/s^2

D. 5 m/s^2

Correct Answer: C

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Question 9

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

A. 20°

B. 30°

Correct C. 40°

D. 50°

Correct Answer: C

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Question 10

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. If the current is 2 A, what is the power dissipated by the 4 Ω resistor?

Correct A. 4 W

B. 6 W

C. 8 W

D. 10 W

Correct Answer: A

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Question 11

A 5 Ω resistor and a 10 Ω resistor are connected in series to a 12 V battery. U\sing Kirchhoff's Laws, calculate the current through the 5 Ω resistor.

Correct A. 0.6 A

B. 0.8 A

C. 1.2 A

D. 1.6 A

Correct Answer: A

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Question 12

A gas at 300 K and 1 atm expands to 2 atm at cons\tant temperature. What is the new volume of the gas?

A. 1.5 m^3

Correct B. 2.0 m^3

C. 2.5 m^3

D. 3.0 m^3

Correct Answer: B

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Question 13

A 2 kg block is attached to a horizontal 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. What is the maximum speed of the block?

A. 1.0 m/s

B. 1.5 m/s

Correct C. 2.0 m/s

D. 2.5 m/s

Correct Answer: C

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Question 14

A wave with a frequency of 50 Hz and a wavelength of 0.2 m is traveling through a medium. What is the speed of the wave?

A. 10 m/s

Correct B. 20 m/s

C. 30 m/s

D. 40 m/s

Correct Answer: B

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Question 15

A 10 kg object is moving with a velocity of 5 m/s. What is its kinetic energy?

A. 25 J

Correct B. 50 J

C. 75 J

D. 100 J

Correct Answer: B

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Question 16

A uniform solid sphere of radius R and mass M is placed at the bottom of a deep well. The well is filled with a fluid of density α. What is the pressure at the bottom of the well?

A. P = πgR^2

B. P = πgR

Correct C. P = πg

D. P = πgR^3

Correct Answer: C

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Question 17

A particle of mass m is moving in a circular orbit of radius r under the influence of a central force F(r) = k/r^2. What is the angular momentum of the particle?

Correct A. L = mvr

B. L = mvr^2

C. L = mvr^3

D. L = mvr^4

Correct Answer: A

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Question 18

A beam of light is incident on a prism at an angle of incidence θ. The re\fracted beam is deviated by an angle δ. What is the angle of re\fraction θ'?

Correct A. θ' = θ + δ

B. θ' = θ - δ

C. θ' = θ - δ

D. θ' = θ + δ

Correct Answer: A

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Question 19

A charged particle of mass m and charge q is moving in a magnetic field B. What is the force experienced by the particle?

Correct A. F = qvB

B. F = qvB^2

C. F = qvB^3

D. F = qvB^4

Correct Answer: A

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Question 20

A body of mass m is moving with a velocity v. What is the kinetic energy of the body?

Correct A. K = ·mv^2

B. K = ·mv

C. K = ·m

D. K = ·v^2

Correct Answer: A

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Question 21

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_1\( x \ $ = \sqrt{\frac{2}{L}} \sinleft$ \frac{pi x}{L}\right $). What is the expectation value of the position operator for this state?

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

B. $ \frac{L}{4} $

C. $ \frac{3L}{4} $

D. $ \frac{L}{pi} $

Correct Answer: A

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Question 22

A circuit consists of a 12 V battery, a 4 Ω resistor, and an inductor of induc\tance 2 H. The circuit is connected to a switch that is initially open. At time $t = 0$, the switch is closed. What is the current in the circuit at $t = 1$ s?

A. 2 A

B. 4 A

Correct C. 6 A

D. 8 A

Correct Answer: C

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Question 23

A sample of an ideal gas is heated from 300 K to 400 K at cons\tant volume. What is the change in the internal energy of the gas?

Correct A. 0 J

B. 100 J

C. 200 J

D. 300 J

Correct Answer: A

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Question 24

A radioactive sample has a half-life of 10 years. If the initial activity of the sample is 100 Bq, what is the activity of the sample after 20 years?

A. 25 Bq

Correct B. 50 Bq

C. 75 Bq

D. 100 Bq

Correct Answer: B

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Question 25

A particle of mass $m$ is moving in a circular orbit of radius $r$ with a speed $v$. What is the magnitude of the centripetal force acting on the particle?

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

B. $ \frac{mv^3}{r^2} $

C. $ \frac{mv^4}{r^3} $

D. $ \frac{mv^5}{r^4} $

Correct Answer: A

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