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POST UTME SUMMIT UNIVERSITY 2020 Physics | Objective

Are you preparing for POST UTME SUMMIT UNIVERSITY 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.

Practice these randomly selected questions to test your readiness.

Question 1

A particle of mass $m$ is attached to a spring with spring cons\tant $k$. The particle is displaced by a dis\tance $x$ from its equilibrium position and released from rest. Assuming the motion is simple harmonic, find the angular frequency $omega$ of the particle's motion.

A. ω = k/m

Correct B. ω = √$ k/m $

C. ω = k√m

D. ω = √(k√m)

Correct Answer: B

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Question 2

A parallel plate capacitor has plates of area $A$ and separation $d$. The capacitor is connected to a battery of voltage $V$. Find the capaci\tance $C$ of the capacitor.

Correct A. C = ε0A/d

B. C = ε0A/√d

C. C = ε0√A/d

D. C = ε0A/d^2

Correct Answer: A

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Question 3

A circuit consists of a resistor $R$ and an inductor $L$ connected in series. The circuit is driven by a voltage source of voltage $V$. Find the impedance $Z$ of the circuit.

A. Z = √$ R^2 + ω^2L^2 $

Correct B. Z = √$ R^2 + \( ωL \ $^2)

C. Z = √$ R^2 - \( ωL \ $^2)

D. Z = √$ R^2 + \( ω^2L^2 \ $)

Correct Answer: B

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Question 4

A wave function ψ(x) is given by ψ(x) = Ae^(ikx). Find the probability density |ψ(x)|^2.

Correct A. |ψ(x)|^2 = |A|^2

B. |ψ(x)|^2 = Ae^(ikx)

C. |ψ(x)|^2 = A^2e^(2ikx)

D. |ψ(x)|^2 = A^2e^$ -2ikx $

Correct Answer: A

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Question 5

A charged particle of charge q is moving in a uniform magnetic field B. Find the force F on the particle.

Correct A. F = qvB

B. F = qv^2B

C. F = qvB^2

D. F = q^2vB

Correct Answer: A

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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 attached to a spring with a spring cons\tant of 100 N/m. If the particle is displaced by 0.2 m from its equilibrium position and released from rest, what is its angular frequency?

A. 1.0 rad/s

Correct B. 2.0 rad/s

C. 3.0 rad/s

D. 4.0 rad/s

Correct Answer: B

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Question 8

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. What is the current flowing through the circuit?

A. 1.5 A

Correct B. 2.0 A

C. 2.5 A

D. 3.0 A

Correct Answer: B

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Question 9

A magnetic field of 0.5 T is applied to a coil of 100 turns and a radius of 0.1 m. If the coil is rotated by 90°, what is the induced emf?

A. 0.1 V

Correct B. 0.2 V

C. 0.3 V

D. 0.4 V

Correct Answer: B

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Question 10

A light ray passes through a convex lens of focal length 0.2 m. If the object dis\tance is 0.5 m, what is the image dis\tance?

A. 0.1 m

Correct B. 0.2 m

C. 0.3 m

D. 0.4 m

Correct Answer: B

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Question 11

A 2.5 V battery is connected in series with a 5 Ω resistor and a 10 Ω resistor. U\sing Kirchhoff's voltage law, calculate the current flowing through the 5 Ω resistor.

A. 0.2 A

Correct B. 0.5 A

C. 1 A

D. 2 A

Correct Answer: B

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Question 12

A particle of mass 0.5 kg is attached to a spring with a spring cons\tant of 100 N/m. The particle is displaced by 0.2 m from its equilibrium position and released from rest. U\sing the equation of simple harmonic motion, calculate the maximum velocity of the particle.

A. 0.5 m/s

B. 1 m/s

Correct C. 2 m/s

D. 5 m/s

Correct Answer: C

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Question 13

A gas occupies a volume of 2 L at a pressure of 1 atm and a temperature of 300 K. U\sing the ideal gas law, calculate the volume of the gas at a pressure of 2 atm and a temperature of 400 K.

A. 4 L

Correct B. 6 L

C. 8 L

D. 10 L

Correct Answer: B

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Question 14

A circuit consists of a 10 Ω resistor, a 20 Ω resistor, and a 30 Ω resistor connected in parallel. U\sing Kirchhoff's laws, calculate the current flowing through the 10 Ω resistor.

A. 0.5 A

B. 1 A

Correct C. 2 A

D. 3 A

Correct Answer: C

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Question 15

A 50 Hz AC voltage source is connected to a 10 Ω resistor. U\sing the equation for AC circuits, calculate the current flowing through the resistor.

A. 0.5 A

Correct B. 1 A

C. 2 A

D. 3 A

Correct Answer: B

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Question 16

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. 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 17

A 10 μF capacitor is connected in series with a 20 Ω resistor and a 5 V battery. If the switch is closed at t = 0, what is the time cons\tant of the circuit?

A. 0.1 s

Correct B. 0.2 s

C. 0.5 s

D. 1 s

Correct Answer: B

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Question 18

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. If the air resis\tance is negligible, what is the maximum height reached by the projectile?

A. 10 m

B. 15 m

Correct C. 20 m

D. 25 m

Correct Answer: C

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Question 19

A nucleus of mass number 238 has an atomic number of 92. If the nucleus undergoes \beta decay, what is the resulting atomic number?

A. 91

B. 92

Correct C. 93

D. 94

Correct Answer: C

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Question 20

A 5 kg block is moving in a straight line with a velocity of 10 m/s. If a force of 20 N is applied to the block, what is the acceleration of the block?

A. 2 m/s^2

Correct B. 4 m/s^2

C. 6 m/s^2

D. 8 m/s^2

Correct Answer: B

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Question 21

A particle of mass m is attached to a spring with spring cons\tant k. The particle is displaced from its equilibrium position by a dis\tance x and released from rest. Assuming the motion is simple harmonic, find the angular frequency ω.

A. \omega = \frac{k}{m}

B. \\omega = \\sqrt{\\frac{m}{k}}

Correct C. \\omega = \\sqrt{\\frac{k}{m}}

D. \omega = \frac{m}{k}

Correct Answer: C

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Question 22

A capacitor consists of two parallel plates, each of area A, separated by a dis\tance d. The capaci\tance is given by C = \frac{\epsilon_0 A}{d}. If the area of each plate is increased by a factor of 2, what is the new capaci\tance?

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

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

Correct C. C = \frac{\epsilon_0 (2A)}{d}

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

Correct Answer: C

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Question 23

A wave function ψ(x) is given by ψ(x) = Ae^{ikx}. Find the probability density of the wave function.

A. |ψ(x)|^2 = A^2e^{-2ikx}

B. |ψ(x)|^2 = A^2e^{2ikx}

Correct C. |ψ(x)|^2 = A^2

D. |ψ(x)|^2 = A^2e^{ikx}

Correct Answer: C

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Question 24

A block of mass m is placed on a frictionless surface and a force F is applied to it. The block is displaced by a dis\tance x and released. Assuming the motion is simple harmonic, find the acceleration of the block.

A. a = \frac{F}{m}

Correct B. a = \frac{kx}{m}

C. a = \frac{F}{k}

D. a = \frac{k}{m}

Correct Answer: B

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Question 25

A capacitor consists of two parallel plates, each of area A, separated by a dis\tance d. The capaci\tance is given by C = \frac{\epsilon_0 A}{d}. If the dis\tance between the plates is increased by a factor of 2, what is the new capaci\tance?

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

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

C. C = \frac{\epsilon_0 (2A)}{d}

Correct D. C = \frac{\epsilon_0 A}{2d}

Correct Answer: D

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