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POST UTME MOUNTAIN TOP UNIVERSITY 2021 Physics | Objective

Are you preparing for POST UTME MOUNTAIN TOP UNIVERSITY 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 particle of mass 2.0 kg is moving in a circular path of radius 3.0 m with a cons\tant speed of 4.0 m/s. What is the magnitude of the centripetal acceleration of the particle?

A. $ 0.5 , \text{m/s}^2 $

B. $ 1.0 , \text{m/s}^2 $

Correct C. $ 2.0 , \text{m/s}^2 $

D. $ 4.0 , \text{m/s}^2 $

Correct Answer: C

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Question 2

A capacitor consists of two parallel plates, each of area 0.02 m^2, separated by a dis\tance of 0.005 m. The capacitor is connected to a 12 V battery. What is the capaci\tance of the capacitor?

Correct A. $ 0.24 , \text{F} $

B. $ 0.48 , \text{F} $

C. $ 0.72 , \text{F} $

D. $ 1.2 , \text{F} $

Correct Answer: A

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Question 3

A gas occupies a volume of 2.5 L at a pressure of 1.2 atm. What is the pressure of the gas when its volume is increased to 5.0 L?

A. $ 0.6 , \text{atm} $

B. $ 1.2 , \text{atm} $

C. $ 1.8 , \text{atm} $

Correct D. $ 2.4 , \text{atm} $

Correct Answer: D

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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 60° above the horizontal. What is the maximum height reached by the projectile?

A. $ 10 , \text{m} $

B. $ 15 , \text{m} $

Correct C. $ 20 , \text{m} $

D. $ 25 , \text{m} $

Correct Answer: C

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Question 5

A particle of mass 1.0 kg is moving in a circular path of radius 2.0 m with a cons\tant speed of 3.0 m/s. What is the magnitude of the centripetal force acting on the particle?

A. $ 0.5 , \text{N} $

B. $ 1.0 , \text{N} $

C. $ 1.5 , \text{N} $

Correct D. $ 2.0 , \text{N} $

Correct Answer: D

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Question 6

A 1000 Hz AC voltage source is connected to a 50 Ω resistor in series with a 10 μF capacitor. The circuit is driven by a \sinusoidal voltage source with a peak value of 10 V. What is the phase angle between the voltage and current in the circuit?

A. 45°

Correct B. 90°

C. 135°

D. 180°

Correct Answer: B

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Question 7

A gas at 300 K and 1 atm is compressed to half its original volume. What is the new pressure of the gas?

A. 2 atm

Correct B. 4 atm

C. 6 atm

D. 8 atm

Correct Answer: B

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Question 8

A sound wave with a frequency of 200 Hz has a speed of 343 m/s. What is the wavelength of the sound wave?

A. 1.71 m

Correct B. 1.72 m

C. 1.73 m

D. 1.74 m

Correct Answer: B

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Question 9

A circuit consists of a 10 Ω resistor in series with a 20 Ω resistor and a 5 Ω resistor in parallel with a 10 Ω resistor. What is the equivalent resis\tance of the circuit?

A. 5 Ω

B. 10 Ω

Correct C. 15 Ω

D. 20 Ω

Correct Answer: C

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Question 10

A particle of mass 2 kg is moving in a circular path with a radius of 3 m. The particle has a speed of 4 m/s. What is the centripetal force acting on the particle?

A. 6 N

Correct B. 12 N

C. 18 N

D. 24 N

Correct Answer: B

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Question 11

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 $$, where $n$ is a positive integer. What is the expectation value of the position of the particle?

A. 0

Correct B. L/2

C. L

D. nπL/2

Correct Answer: B

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Question 12

A sound wave with frequency $f$ is traveling through a medium with speed $v$. The amplitude of the wave is given by $A = 0.1$ m. What is the intensity of the sound wave?

A. 10^{-3} W/m^2

B. 10^{-2} W/m^2

Correct C. 10^{-1} W/m^2

D. 10^{0} W/m^2

Correct Answer: C

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Question 13

A circuit consists of a resistor $R$ and an inductor $L$ connected in series. The voltage source is given by $V(t) = 10 \sin(2pi ft)$, where $f$ is the frequency of the source. What is the impedance of the circuit?

A. R

B. L

Correct C. \sqrt{R^2 + L^2}

D. \sqrt{R^2 - L^2}

Correct Answer: C

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Question 14

A magnetic field $B$ is given by $B = 0.5 \sin(2pi ft)$, where $f$ is the frequency of the field. What is the magnetic flux through a coil of area $A$?

A. 0.25 A

Correct B. 0.5 A

C. 0.75 A

D. 1 A

Correct Answer: B

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Question 15

A heat engine operates between two temperatures $T_1$ and $T_2$. The efficiency of the engine is given by $\eta = 1 - \frac{T_2}{T_1}$. What is the efficiency of the engine if $T_1 = 300$ K and $T_2 = 200$ K?

A. 0.1

B. 0.2

Correct C. 0.3

D. 0.4

Correct Answer: C

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Question 16

A gas is heated from 300 K to 400 K at cons\tant volume. If the initial volume is 2.5 L and the gas cons\tant is 0.0821 L atm/mol K, what is the final pressure of the gas in atm?

A. 10.4 atm

B. 12.5 atm

Correct C. 15.6 atm

D. 18.7 atm

Correct Answer: C

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Question 17

A particle of mass 0.5 kg is moving in a circular path with a radius of 2 m. If the particle has a speed of 4 m/s, what is the magnitude of the centripetal force acting on the particle?

A. 2 N

B. 4 N

Correct C. 6 N

D. 8 N

Correct Answer: C

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Question 18

A capacitor consists of two parallel plates, each with an area of 0.01 m^2. The dis\tance between the plates is 0.001 m. If the capaci\tance is 10 nF, what is the charge on the capacitor when the potential difference between the plates is 5 V?

A. 0.05 C

Correct B. 0.1 C

C. 0.15 C

D. 0.2 C

Correct Answer: B

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Question 19

A simple harmonic motion has a frequency of 2 Hz and an amplitude of 0.5 m. If the particle is displaced by 0.2 m from its equilibrium position, what is the acceleration of the particle?

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 20

A circuit consists of a 10 Ω resistor, a 20 Ω resistor, and a 5 Ω resistor connected in series. If the voltage source is 12 V, what is the current in the circuit?

A. 0.4 A

B. 0.6 A

C. 0.8 A

Correct D. 1 A

Correct Answer: D

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