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POST UTME FUTO 2020 Physics | Objective

Are you preparing for POST UTME FUTO 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 radioactive sample emits \alpha particles with a half-life of 5 days. If the initial activity is 100 Bq, calculate the activity after 10 days.

Correct A. 12.5 Bq

B. 25 Bq

C. 50 Bq

D. 100 Bq

Correct Answer: A

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Question 2

A block of mass 2 kg is attached to a horizontal spring with a spring cons\tant of 100 N/m. If the block is displaced by 0.2 m from its equilibrium position and released from rest, calculate the maximum speed of the block.

A. 0.5 m/s

B. 1 m/s

Correct C. 1.5 m/s

D. 2 m/s

Correct Answer: C

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Question 3

A coil of wire with 100 turns is placed in a magnetic field with a flux density of 0.5 T. If the coil has a radius of 0.1 m, calculate the induced emf when the flux through the coil changes at a rate of 2 Wb/s.

A. 0.1 V

Correct B. 0.5 V

C. 1 V

D. 2 V

Correct Answer: B

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Question 4

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. If air resis\tance is neglected, calculate the maximum height reached by the projectile.

A. 5 m

B. 10 m

Correct C. 15 m

D. 20 m

Correct Answer: C

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Question 5

A series RLC circuit has a resis\tance of 10 Ω, an inductive reac\tance of 20 Ω, and a capacitive reac\tance of 15 Ω. If the circuit is connected to a 50 V AC source, calculate the impedance of the circuit.

A. 20 Ω

B. 25 Ω

Correct C. 30 Ω

D. 35 Ω

Correct Answer: C

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Question 6

A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the dielectric cons\tant of the material between the plates is 3, calculate the capaci\tance.

A. 1.6 x 10^-10 F

Correct B. 3.2 x 10^-10 F

C. 4.8 x 10^-10 F

D. 6.4 x 10^-10 F

Correct Answer: B

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Question 7

A gas at 300 K expands from 0.05 m^3 to 0.1 m^3. Calculate the work done by the gas if it expands against a cons\tant external pressure of 1.5 x 10^5 Pa.

A. 375 J

Correct B. 750 J

C. 1125 J

D. 1500 J

Correct Answer: B

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Question 8

A particle of mass 0.5 kg is moving in a circular path of radius 0.2 m with a cons\tant speed of 2 m/s. Calculate the magnitude of the net force acting on the particle.

A. 0.5 N

B. 1 N

Correct C. 1.5 N

D. 2 N

Correct Answer: C

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Question 9

A wave has a frequency of 50 Hz and a wavelength of 0.2 m. Calculate 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 10

A sound wave has a frequency of 200 Hz and a speed of 340 m/s. Calculate the wavelength of the wave.

A. 1.7 m

Correct B. 1.8 m

C. 1.9 m

D. 2 m

Correct Answer: B

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Question 11

A particle of mass $m$ is moving in a circular orbit of radius $r$ under the influence of a central force given by $F(r) = \frac{k}{r^2}$. If the particle's speed is $v$ and the force cons\tant $k$ is $10^3 , \text{N} cdot \text{m}^2$, calculate the particle's angular momentum.

Correct A. $2 pi m v r$

B. $2 pi m v^2 r$

C. $m v^2 r$

D. $m v r^2$

Correct Answer: A

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Question 12

A capacitor consists of two parallel plates of area $A$ separated by a dis\tance $d$. The plates are charged to a potential difference $V$ and a charge $Q$ is stored on each plate. If the dielectric cons\tant of the material between the plates is $epsilon$, calculate the capaci\tance of the capacitor.

Correct A. $A epsilon \frac{V}{d}$

B. $A epsilon \frac{Q}{d}$

C. $A epsilon \frac{V}{Q}$

D. $A epsilon \frac{Q}{V}$

Correct Answer: A

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Question 13

A wave of frequency $f$ and amplitude $A$ is propagating through a medium with a speed $v$. If the wave is reflected from a fixed \end, calculate the amplitude of the reflected wave.

A. $A$

Correct B. $2A$

C. $A/2$

D. $A/4$

Correct Answer: B

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Question 14

A radioactive sample decays with a half-life of $t_{1/2}$. If the initial activity is $A_0$, calculate the activity after a time $t$.

Correct A. $A_0 e^{-t/t_{1/2}}$

B. $A_0 e^{t/t_{1/2}}$

C. $A_0 $ 1 - e^{-t/t_{1/2}} $$

D. $A_0 $ 1 + e^{-t/t_{1/2}} $$

Correct Answer: A

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Question 15

A quantum particle of mass $m$ is confined to a one-dimensional box of length $L$. If the particle's energy is $E$, calculate the particle's momentum.

A. $\sqrt{2mE}$

B. $\sqrt{2mE} pi$

Correct C. $\sqrt{2mE} \frac{pi}{L}$

D. $\sqrt{2mE} \frac{L}{pi}$

Correct Answer: C

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Question 16

A parallel plate capacitor has a capaci\tance of 10 μF. If a potential difference of 20 V is applied across it, what is the charge stored on the plates?

A. 200 μC

Correct B. 400 μC

C. 600 μC

D. 800 μC

Correct Answer: B

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Question 17

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 by 0.2 m from its equilibrium position and released from rest. What is the angular frequency of the resulting simple harmonic motion?

A. 2 rad/s

B. 4 rad/s

Correct C. 6 rad/s

D. 8 rad/s

Correct Answer: C

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Question 18

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 19

A gas is compressed from an initial volume of 2 L to a final volume of 1 L. If the initial pressure is 2 atm and the final pressure is 3 atm, what is the work done on the gas?

A. 2 J

B. 4 J

Correct C. 6 J

D. 8 J

Correct Answer: C

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Question 20

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

A. 2 m/s²

B. 4 m/s²

C. 6 m/s²

Correct D. 8 m/s²

Correct Answer: D

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Question 21

A lens of focal length 10 cm is used to form an image of an object placed 20 cm away. What is the nature of the image formed?

Correct A. Real and inverted

B. Virtual and erect

C. Real and erect

D. Virtual and inverted

Correct Answer: A

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Question 22

A capacitor of capaci\tance 100 μF is charged to a potential difference of 10 V. What is the energy stored in the capacitor?

A. 1 J

Correct B. 2 J

C. 3 J

D. 4 J

Correct Answer: B

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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 50 N, what is the acceleration produced?

A. 2 m/s²

B. 4 m/s²

C. 6 m/s²

Correct D. 8 m/s²

Correct Answer: D

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Question 24

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 due to the centripetal acceleration?

A. 16 N

Correct B. 32 N

C. 48 N

D. 64 N

Correct Answer: B

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Question 25

A block of mass 5 kg is placed on a frictionless surface and a horizontal force of 10 N is applied to it. What is the acceleration of the block?

A. 0.2 m/s^2

B. 0.5 m/s^2

Correct C. 1 m/s^2

D. 2 m/s^2

Correct Answer: C

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