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POST UTME MADONNA UNIVERSITY 2024 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 2024 Physics (Objective) questions designed to simulate the real exam environment.

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Question 1

A parallel plate capacitor consists of two plates of area $A$ separated by a dis\tance $d$. The capaci\tance is given by $C=\frac{epsilon_0A}{d}$. If the area of each plate is $0.01\text{ m}^2$ and the dis\tance between them is $0.001\text{ m}$, calculate the capaci\tance.

Correct A. 0.01 F

B. 0.001 F

C. 0.1 F

D. 0.0001 F

Correct Answer: A

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Question 2

A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. The particle experiences a centripetal force $F_c=\frac{mv^2}{r}$. If the particle's speed is $5\text{ m/s}$ and the radius of the path is $2\text{ m}$, calculate the centripetal force.

A. 0.25 N

B. 0.5 N

Correct C. 1 N

D. 2 N

Correct Answer: C

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Question 3

A circuit consists of a $10Omega$ resistor, a $20Omega$ resistor, and a $5Omega$ resistor connected in series. If a voltage of $12V$ is applied across the circuit, calculate the current flowing through the circuit.

A. 0.4 A

B. 0.6 A

Correct C. 0.8 A

D. 1 A

Correct Answer: C

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Question 4

A charged particle of mass $m$ and charge $q$ is moving in a magnetic field of strength $B$ with a velocity $v$. The particle experiences a magnetic force $F_B=qvB$. If the particle's mass is $0.01\text{ kg}$, the charge is $0.001\text{ C}$, the velocity is $5\text{ m/s}$, and the magnetic field strength is $0.1\text{ T}$, calculate the magnetic force.

A. 0.00005 N

B. 0.0001 N

Correct C. 0.0005 N

D. 0.001 N

Correct Answer: C

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Question 5

A simple harmonic motion is described by the equation $x(t)=A\sin$ omega t+phi $$. If the amplitude is $0.1\text{ m}$, the angular frequency is $2pi\text{ rad/s}$, and the phase angle is $\frac{pi}{4}$, calculate the displacement at $t=0.1\text{ s}$.

A. 0.05 m

B. 0.1 m

Correct C. 0.15 m

D. 0.2 m

Correct Answer: C

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Question 6

A particle of mass 2 kg is moving in a circular path with a cons\tant speed of 4 m/s. If the radius of the path is 3 m, calculate the magnitude of the centripetal acceleration.

A. 4 m/s^2

B. 5 m/s^2

Correct C. \frac{16}{3} m/s^2

D. 6 m/s^2

Correct Answer: C

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Question 7

A capacitor of capaci\tance 10 μF is connected to a battery of voltage 12 V. If the capacitor is initially uncharged, calculate the charge on the capacitor after 5 minutes.

A. 100 μC

Correct B. 120 μC

C. 150 μC

D. 180 μC

Correct Answer: B

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Question 8

A gas is contained in a cylinder of volume 2 L at a temperature of 300 K. If the pressure of the gas is 1 atm, calculate the number of moles of the gas.

A. 0.05 mol

Correct B. 0.08 mol

C. 0.1 mol

D. 0.12 mol

Correct Answer: B

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Question 9

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 acceleration due to gravity is 9.8 m/s^2, calculate the maximum height reached by the projectile.

A. 10 m

B. 12 m

Correct C. 15.5 m

D. 18 m

Correct Answer: C

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Question 10

A quantum particle is confined to a one-dimensional box of length 1 m. If the energy of the particle is 10 eV, calculate the wavelength of the particle.

A. 5 \times 10^{-10} m

Correct B. 6.25 \times 10^{-10} m

C. 7.5 \times 10^{-10} m

D. 8.75 \times 10^{-10} m

Correct Answer: B

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Question 11

A particle of mass 2 kg is attached to a spring with a spring cons\tant of 100 N/m. It is displaced by 0.2 m from its equilibrium position and released from rest. Assuming the motion is simple harmonic, calculate the maximum speed of the particle.

A. 2 m/s

Correct B. 4 m/s

C. 6 m/s

D. 8 m/s

Correct Answer: B

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Question 12

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

A. 1 A

B. 2 A

Correct C. 3 A

D. 4 A

Correct Answer: C

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Question 13

A magnetic field of 0.5 T is applied to a coil of wire with 100 turns. The coil has a radius of 0.1 m. Calculate the magnetic flux through the coil.

Correct A. 0.01 Wb

B. 0.02 Wb

C. 0.03 Wb

D. 0.04 Wb

Correct Answer: A

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Question 14

A block of wood with a density of 500 kg/m³ is submerged in water. Calculate the buoyant force acting on the block.

A. 200 N

B. 300 N

Correct C. 400 N

D. 500 N

Correct Answer: C

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Question 15

A gas expands from 1 L to 2 L against a cons\tant external pressure of 2 atm. Calculate the work done by the gas.

A. 100 J

Correct B. 200 J

C. 300 J

D. 400 J

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 subject to a centripetal force of 12 N, what is the magnitude of the acceleration of the particle?

A. 4 m/s^2

B. 8 m/s^2

Correct C. 16 m/s^2

D. 32 m/s^2

Correct Answer: C

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Question 17

A wave of frequency 100 Hz and wavelength 0.1 m is traveling through a medium. If the wave is doubled in frequency, what is the new wavelength?

Correct A. 0.05 m

B. 0.1 m

C. 0.2 m

D. 0.5 m

Correct Answer: A

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Question 18

A particle of mass 1 kg is moving in a straight line with an initial velocity of 5 m/s. If the particle is subject to a force of 2 N, what is the acceleration of the particle?

A. 1 m/s^2

Correct B. 2 m/s^2

C. 5 m/s^2

D. 10 m/s^2

Correct Answer: B

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Question 19

A wave of frequency 50 Hz and wavelength 0.2 m is traveling through a medium. If the wave is tripled in frequency, what is the new wavelength?

Correct A. 0.0667 m

B. 0.1 m

C. 0.2 m

D. 0.3 m

Correct Answer: A

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Question 20

A particle of mass 3 kg is moving in a circular path of radius 4 m with a cons\tant speed of 6 m/s. If the particle is subject to a centripetal force of 18 N, what is the magnitude of the acceleration of the particle?

A. 4 m/s^2

B. 8 m/s^2

Correct C. 18 m/s^2

D. 36 m/s^2

Correct Answer: C

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Question 21

A particle of mass 2 kg is moving in a circular path with a cons\tant speed of 4 m/s. If the radius of the circular path is 3 m, calculate the magnitude of the centripetal acceleration.

A. 2 m/s^2

B. 4 m/s^2

Correct C. 8 m/s^2

D. 16 m/s^2

Correct Answer: C

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Question 22

A block of mass 5 kg is placed on a frictionless surface and a horizontal force of 10 N is applied to it. If the block starts from rest, calculate its velocity after 2 s.

A. 2 m/s

Correct B. 4 m/s

C. 6 m/s

D. 8 m/s

Correct Answer: B

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Question 23

A radioactive sample has a half-life of 2 years. If the initial activity is 100 Bq, calculate the activity after 4 years.

A. 12.5 Bq

Correct B. 25 Bq

C. 50 Bq

D. 100 Bq

Correct Answer: B

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Question 24

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

A. 1 N

Correct B. 2 N

C. 3 N

D. 4 N

Correct Answer: B

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Question 25

A photon of energy 2 eV is incident on a metal surface with work function 1 eV. Calculate the kinetic energy of the emitted electron.

A. 0.5 eV

Correct B. 1 eV

C. 1.5 eV

D. 2 eV

Correct Answer: B

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