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POST UTME UI 2021 Physics | Objective

Are you preparing for POST UTME UI 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.

Practice these randomly selected questions to test your readiness.

Question 1

A gas at 300 K is heated to 450 K. If the initial volume is 2.5 L, what is the final volume if the gas is ideal?

Correct A. 6.0 L

B. 4.0 L

C. 3.5 L

D. 2.5 L

Correct Answer: A

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Question 2

A point charge of 2 μC is placed at the center of a conducting sphere of radius 5 cm. What is the electric flux through the sphere?

A. 1.0 x 10^6 Nm^2/C

Correct B. 2.0 x 10^6 Nm^2/C

C. 3.0 x 10^6 Nm^2/C

D. 4.0 x 10^6 Nm^2/C

Correct Answer: B

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Question 3

A particle of mass 0.5 kg is projected at an angle of 60° to the horizontal with an initial velocity of 20 m/s. What is the time of flight?

A. 1.0 s

Correct B. 2.0 s

C. 3.0 s

D. 4.0 s

Correct Answer: B

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Question 4

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

Correct A. 12.5 Bq

B. 25.0 Bq

C. 50.0 Bq

D. 100 Bq

Correct Answer: A

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Question 5

A fluid of density 1000 kg/m^3 is subjected to a pressure of 10^5 Pa. What is the depth of the fluid?

A. 1.0 m

Correct B. 2.0 m

C. 3.0 m

D. 4.0 m

Correct Answer: B

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Question 6

A light ray 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 7

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. 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 8

A 100 Ω resistor is connected in series with a 200 Ω resistor and a 50 Ω resistor. What is the equivalent resis\tance of the circuit?

A. 300 Ω

B. 350 Ω

Correct C. 400 Ω

D. 450 Ω

Correct Answer: C

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Question 9

A 5 kg block is susp\ended from a spring with a spring cons\tant of 100 N/m. What is the displacement of the block when a force of 20 N is applied?

Correct A. 0.2 m

B. 0.5 m

C. 1 m

D. 2 m

Correct Answer: A

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Question 10

A 10 kg object is moving in a circular path with a cons\tant speed of 5 m/s. What is the magnitude of the centripetal force acting on the object?

A. 50 N

B. 100 N

Correct C. 150 N

D. 200 N

Correct Answer: C

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Question 11

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 12

A block of mass 5 kg is attached to a horizontal, massless spring with a force cons\tant of 200 N/m. The block is displaced by 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 13

A parallel plate capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 12 V. If the dis\tance between the plates is doubled, what is the new capaci\tance?

A. 5 μF

B. 10 μF

Correct C. 20 μF

D. 40 μF

Correct Answer: C

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Question 14

A fluid of density 1000 kg/m³ is flowing through a horizontal pipe with a cross-sectional area of 0.01 m². If the pressure difference between the two \ends of the pipe is 1000 Pa, what is the velocity of the fluid?

A. 1 m/s

B. 2 m/s

C. 3 m/s

Correct D. 4 m/s

Correct Answer: D

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Question 15

A spring with a force cons\tant of 500 N/m is stretched by 0.5 m. If the spring is then released from rest, what is the maximum kinetic energy of the spring?

A. 125 J

B. 250 J

Correct C. 375 J

D. 500 J

Correct Answer: C

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Question 16

A particle of mass $m$ is moving in a circular path of radius $R$ with a cons\tant speed $v$. If the particle is subjected to a centripetal force $F_c = \frac{mv^2}{R}$, what is the work done by this force as the particle moves through an angle $\theta$?

Correct A. $ W = \frac{1}{2}mv^2\( 1 - \cos \theta \ $ )

B. $ W = \frac{1}{2}mv^2\( 1 + \cos \theta \ $ )

C. $ W = mv^2\( 1 - \cos \theta \ $ )

D. $ W = mv^2\( 1 + \cos \theta \ $ )

Correct Answer: A

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Question 17

A wave of frequency $f$ and wavelength $lambda$ is traveling through a medium. If the wave is reflected from a fixed \end, what is the phase difference between the incident and reflected waves?

A. $ Delta phi = 0 $

Correct B. $ Delta phi = pi $

C. $ Delta phi = 2pi $

D. $ Delta phi = -pi $

Correct Answer: B

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Question 18

A simple harmonic motion has a period $T$ and an amplitude $A$. If the motion is damped by a force proportional to the velocity, what is the equation of motion?

A. ( x(t) = A\cos$ omega t + phi $ )

Correct B. ( x(t) = A\sin$ omega t + phi $ )

C. ( x(t) = A\cos$ omega t - phi $ )

D. ( x(t) = A\sin$ omega t - phi $ )

Correct Answer: B

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Question 19

A ray of light is incident on a prism with an angle of incidence $i$ and an angle of re\fraction $r$. If the prism has a re\fractive index $n$, what is the angle of deviation?

Correct A. $ delta = i - r $

B. $ delta = i + r $

C. $ delta = 2i - r $

D. $ delta = 2r - i $

Correct Answer: A

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Question 20

A projectile is launched from the ground with an initial velocity $v_0$ at an angle $\theta$ above the horizontal. If the projectile is subject to a cons\tant acceleration due to gravity $g$, what is the maximum height reached by the projectile?

Correct A. $ h_{max} = \frac{v_0^2 \sin^2 \theta}{2g} $

B. $ h_{max} = \frac{v_0^2 \cos^2 \theta}{2g} $

C. $ h_{max} = \frac{v_0^2 \sin \theta}{2g} $

D. $ h_{max} = \frac{v_0^2 \cos \theta}{2g} $

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 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 22

A 5 m long wire is carrying a current of 2 A. If the magnetic field at a point 2 m away from the wire is 0.1 T, what is the direction of the magnetic field?

Correct A. Into the page

B. Out of the page

C. Along the wire

D. Perp\endicular to the wire

Correct Answer: A

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Question 23

A ray of light passes from air into a glass block at an angle of incidence of 30°. If the angle of re\fraction is 20°, what is the re\fractive index of the glass?

A. 1.5

Correct B. 1.8

C. 2.0

D. 2.5

Correct Answer: B

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Question 24

A 10 V battery is connected to a 20 Ω resistor. If the current in the circuit is 0.5 A, what is the power consumed by the resistor?

Correct A. 5 W

B. 10 W

C. 20 W

D. 50 W

Correct Answer: A

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Question 25

A 2 kg block is attached to a horizontal spring with a force cons\tant of 100 N/m. If the block is displaced by 0.2 m from its equilibrium position, what is the magnitude of the force exerted by the spring on the block?

A. 20 N

Correct B. 40 N

C. 60 N

D. 80 N

Correct Answer: B

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