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POST UTME MADONNA UNIVERSITY 2019 Physics | Objective

Are you preparing for POST UTME MADONNA UNIVERSITY exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2019 Physics (Objective) questions designed to simulate the real exam environment.

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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 $x_0$ from its equilibrium position and released from rest. Assuming the motion is simple harmonic, find the angular frequency of the particle's motion.

Correct A. \frac{1}{\sqrt{mk}}

B. \sqrt{mk}

C. \frac{k}{m}

D. \frac{m}{k}

Correct Answer: A

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Question 2

A sound wave with frequency $f$ is emitted by a source and travels through a medium with speed $v$. If the wave is reflected off a stationary surface, what is the frequency of the reflected wave?

A. f

Correct B. 2f

C. \frac{v}{2f}

D. \frac{f}{v}

Correct Answer: B

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Question 3

A charged particle of mass $m$ and charge $q$ is moving in a circular path with radius $r$ in a uniform magnetic field $B$. If the particle's speed is $v$, what is the magnitude of the magnetic field?

Correct A. \frac{mv}{qr}

B. \frac{qr}{mv}

C. \frac{m^2v^2}{q^2r}

D. \frac{q^2r}{m^2v^2}

Correct Answer: A

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Question 4

A light wave with wavelength $\lambda$ and frequency $f$ is incident on a surface with reflectivity $R$. What is the intensity of the reflected wave?

A. \frac{R}{\lambda}

Correct B. \frac{Rf}{\lambda}

C. \frac{R\lambda}{f}

D. \frac{Rf^2}{\lambda}

Correct Answer: B

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Question 5

A charged particle of mass $m$ and charge $q$ is moving in a straight line with speed $v$ in a uniform electric field $E$. If the particle's initial velocity is $v_i$, what is its final velocity?

Correct A. v_i + qE\Delta t

B. v_i - qE\Delta t

C. \frac{v_i}{qE\Delta t}

D. \frac{qE\Delta t}{v_i}

Correct Answer: A

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Question 6

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 7

A heat engine operates between the temperatures of 500 K and 300 K. If the engine absorbs 1000 J of heat energy from the high-temperature reservoir, what is the efficiency of the engine?

A. 0.25

B. 0.30

Correct C. 0.35

D. 0.40

Correct Answer: C

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Question 8

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 projectile lands 10 m away from the point of launch, what is the time of flight?

A. 1.5 s

Correct B. 2.0 s

C. 2.5 s

D. 3.0 s

Correct Answer: B

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Question 9

A magnetic field of 0.5 T is applied to a current-carrying wire of length 2 m. If the current in the wire is 5 A, what is the force experienced by the wire?

A. 0.25 N

Correct B. 0.50 N

C. 0.75 N

D. 1.0 N

Correct Answer: B

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Question 10

A wave of wavelength 0.5 m and frequency 20 Hz is traveling through a medium. If the wave has an amplitude of 0.1 m, what is the intensity of the wave?

A. 0.01 W/m^2

B. 0.05 W/m^2

Correct C. 0.10 W/m^2

D. 0.20 W/m^2

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

A. 10 N

B. 12 N

Correct C. 15 N

D. 20 N

Correct Answer: C

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Question 12

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. 15 m

Correct B. 20 m

C. 25 m

D. 30 m

Correct Answer: B

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Question 13

A gas is confined to a cylinder of volume 2 m^3 at a temperature of 300 K. If the gas is heated to a temperature of 400 K, what is the new volume of the gas?

A. 2.5 m^3

Correct B. 3 m^3

C. 3.5 m^3

D. 4 m^3

Correct Answer: B

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Question 14

A point charge of 5 μC is placed at the center of a circular loop of radius 0.1 m. If the loop is made of a material with a dielectric cons\tant of 2, what is the electric flux through the loop?

A. 10^6 Nm^2/C

B. 5 × 10^5 Nm^2/C

Correct C. 2 × 10^5 Nm^2/C

D. 1 × 10^5 Nm^2/C

Correct Answer: C

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Question 15

A simple p\endulum of length 1 m is released from rest at an angle of 30° from the vertical. If the p\endulum is released at a location where the acceleration due to gravity is 9.8 m/s^2, what is the time period of the p\endulum?

A. 2 s

Correct B. 3 s

C. 4 s

D. 5 s

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. What is the magnitude of the centripetal acceleration of the particle?

A. 8 m/s^2

B. 16 m/s^2

Correct C. 32 m/s^2

D. 64 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 120 V battery. What is the time cons\tant of the circuit?

A. 0.2 s

Correct B. 0.4 s

C. 0.6 s

D. 0.8 s

Correct Answer: B

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Question 18

A wave has a frequency of 50 Hz and a wavelength of 20 m. What is the speed of the wave?

A. 1000 m/s

Correct B. 2000 m/s

C. 3000 m/s

D. 4000 m/s

Correct Answer: B

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Question 19

A 100 W bulb is connected to a 220 V power source. What is the current drawn by the bulb?

A. 0.45 A

Correct B. 0.5 A

C. 0.55 A

D. 0.6 A

Correct Answer: B

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Question 20

A 5 kg block is moving with a velocity of 10 m/s. What is its kinetic energy?

A. 250 J

Correct B. 500 J

C. 750 J

D. 1000 J

Correct Answer: B

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

A. 10 N

B. 12 N

Correct C. 16 N

D. 20 N

Correct Answer: C

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Question 22

A wave of frequency 100 Hz and amplitude 0.5 m is traveling along a string. If the wave is reflected at a fixed \end, what is the amplitude of the reflected wave?

Correct A. 0.25 m

B. 0.5 m

C. 0.75 m

D. 1 m

Correct Answer: A

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Question 23

A nucleus of mass number 238 and atomic number 92 undergoes \alpha decay. What is the mass number of the daughter nucleus?

Correct A. 234

B. 236

C. 238

D. 240

Correct Answer: A

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Question 24

A particle of mass 1 kg is moving in a circular path of radius 2 m with a cons\tant speed of 3 m/s. If the particle is subjected to a centripetal acceleration of 1 m/s^2, what is the force acting on the particle?

A. 4 N

Correct B. 6 N

C. 8 N

D. 10 N

Correct Answer: B

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Question 25

A wave of frequency 50 Hz and amplitude 0.2 m is traveling along a string. If the wave is reflected at a fixed \end, what is the amplitude of the reflected wave?

Correct A. 0.1 m

B. 0.2 m

C. 0.3 m

D. 0.4 m

Correct Answer: A

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