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POST UTME KSU 2017 Physics | Objective

Are you preparing for POST UTME KSU exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2017 Physics (Objective) questions designed to simulate the real exam environment.

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Question 1

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 acceleration of 2 m/s^2, what is the magnitude of the force acting on the particle?

A. 8 N

B. 10 N

Correct C. 12 N

D. 16 N

Correct Answer: C

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Question 2

A 10 Ω resistor is connected in series with a 20 Ω resistor and a 30 Ω resistor. If a 12 V battery is connected across the circuit, what is the current flowing through the 10 Ω resistor?

A. 0.4 A

B. 0.6 A

Correct C. 0.8 A

D. 1.2 A

Correct Answer: C

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Question 3

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

A. 0.2 m/s^2

B. 0.4 m/s^2

Correct C. 0.6 m/s^2

D. 0.8 m/s^2

Correct Answer: C

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Question 4

A 100 V AC supply is connected to a 20 Ω resistor. If the frequency of the supply is 50 Hz, what is the rms value of the current flowing through the resistor?

A. 2.5 A

B. 5 A

Correct C. 7.5 A

D. 10 A

Correct Answer: C

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Question 5

A simple harmonic motion has a maximum displacement of 2 m and a frequency of 3 Hz. If the amplitude of the motion is 1 m, what is the angular frequency of the motion?

A. 6 \pi rad/s

Correct B. 12 \pi rad/s

C. 18 \pi rad/s

D. 24 \pi rad/s

Correct Answer: B

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Question 6

A 2.5 V battery is connected in series to a 10 Ω resistor and a 5 μF capacitor. The capacitor is initially uncharged. What is the time cons\tant of the circuit?

A. 1.25 ms

Correct B. 2.5 ms

C. 5 ms

D. 10 ms

Correct Answer: B

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Question 7

A 100 W light bulb is connected to a 230 V power source. What is the current drawn by the bulb?

A. 0.25 A

B. 0.5 A

Correct C. 1 A

D. 2 A

Correct Answer: C

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Question 8

A parallel plate capacitor has a capaci\tance of 10 μF. If the potential difference between the plates is 5 V, what is the charge on the capacitor?

A. 50 μC

Correct B. 100 μC

C. 200 μC

D. 500 μC

Correct Answer: B

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Question 9

A gas at 300 K and 1 atm is compressed to 2 atm. What is the new temperature of the gas?

A. 400 K

B. 500 K

Correct C. 600 K

D. 700 K

Correct Answer: C

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Question 10

A sound wave with a frequency of 200 Hz has a speed of 340 m/s. What is the wavelength of the wave?

A. 1.7 m

B. 1.8 m

Correct C. 1.9 m

D. 2 m

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 magnitude of the force?

A. 8 N

Correct B. 12 N

C. 16 N

D. 24 N

Correct Answer: B

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Question 12

A wave has a frequency of 50 Hz and a wavelength of 0.2 m. 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 13

A simple harmonic motion has a maximum displacement of 2 m and a period of 4 s. What is the angular frequency?

A. 0.5 rad/s

Correct B. 1 rad/s

C. 1.5 rad/s

D. 2 rad/s

Correct Answer: B

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Question 14

A projectile is launched at an angle of 60° to the horizontal with an initial velocity of 20 m/s. What is the time of flight?

A. 2 s

Correct B. 4 s

C. 6 s

D. 8 s

Correct Answer: B

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Question 15

A quantum particle has a wave function given by \Psi(x) = Ae^{ikx}. What is the momentum of the particle?

A. 1 kg m/s

Correct B. 2 kg m/s

C. 3 kg m/s

D. 4 kg m/s

Correct Answer: B

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Question 16

A beam 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 17

A gas is heated from 0°C to 100°C at cons\tant pressure. If the initial volume is 2.5 L, what is the final volume?

A. 5 L

Correct B. 6.25 L

C. 7.5 L

D. 10 L

Correct Answer: B

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Question 18

A block of mass 5 kg is attached to a horizontal spring with a spring cons\tant of 100 N/m. If the block is displaced by 2 m and released, 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 19

A container holds 2 moles of an ideal gas at a pressure of 2 atm. If the temperature is increased by 20 K, what is the new pressure?

A. 2.4 atm

Correct B. 2.6 atm

C. 2.8 atm

D. 3 atm

Correct Answer: B

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Question 20

A radioactive sample decays from 100 g to 50 g in 10 years. What is the half-life of the sample?

A. 5 years

Correct B. 10 years

C. 15 years

D. 20 years

Correct Answer: B

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Question 21

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 $). What is the expectation value of the position operator for this particle?

Correct A. \frac{L}{2}

B. \frac{L}{4}

C. \frac{3L}{4}

D. \frac{L}{3}

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 0.1 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 $t=0$?

Correct A. 0 A

B. 0.3 A

C. 0.6 A

D. 1 A

Correct Answer: A

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Question 23

A point charge of $+2\mu C$ is placed at the origin. A second point charge of $-3\mu C$ is placed at a dis\tance of 2 m from the first charge. What is the electric potential at the point $(1,0,0)$?

A. 100 V

B. 200 V

Correct C. 300 V

D. 400 V

Correct Answer: C

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Question 24

A block of mass $m$ is attached to a horizontal spring of spring cons\tant $k$. The block is displaced by a dis\tance $x$ from its equilibrium position and released from rest. What is the angular frequency of the resulting simple harmonic motion?

Correct A. \sqrt{\frac{k}{m}}

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

C. \frac{k}{m}

D. \frac{m}{k}

Correct Answer: A

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Question 25

A parallel plate capacitor consists of two plates of area $A$ separated by a dis\tance $d$. The capacitor is connected to a battery of voltage $V$. What is the capaci\tance of the capacitor?

Correct A. \frac{A\epsilon_0}{d}

B. \frac{d\epsilon_0}{A}

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

D. \frac{d}{A\epsilon_0}

Correct Answer: A

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