POST UTME OAU 2024 Physics | Objective

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Question 1 View Details
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. \omega = \frac{k}{m}
B. \omega = \sqrt{\frac{m}{k}}
C. \omega = \frac{m}{k}
Correct D. \omega = \sqrt{\frac{k}{m}}

Correct Answer: D

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Question 2 View Details
A block of mass ( M ) is placed on a frictionless surface and connected to a spring with spring cons\tant ( k ). A force ( F ) is applied to the block, cau\sing it to oscillate. Find the amplitude ( A ) of the block's motion.
Correct A. A = \frac{F}{k}
B. A = \frac{k}{F}
C. A = \frac{F}{M}
D. A = \frac{M}{F}

Correct Answer: A

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Question 3 View Details
A capacitor ( C ) is connected to a battery of voltage ( V ). Find the charge ( Q ) stored on the capacitor.
Correct A. Q = CV
B. Q = \frac{V}{C}
C. Q = \frac{C}{V}
D. Q = \frac{V}{C^2}

Correct Answer: A

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Question 4 View Details
A magnetic field ( B ) is directed perp\endicular to a current-carrying wire. Find the force ( F ) exerted on the wire.
Correct A. F = BIL
B. F = \frac{B}{L}
C. F = \frac{L}{B}
D. F = \frac{B}{IL}

Correct Answer: A

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Question 5 View Details
A wave of frequency ( f ) and wavelength ( lambda ) is traveling through a medium. Find the speed ( v ) of the wave.
Correct A. v = f\lambda
B. v = \frac{f}{\lambda}
C. v = \frac{\lambda}{f}
D. v = f\frac{\lambda}{2}

Correct Answer: A

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Question 6 View Details
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. 10 N
Correct B. 12 N
C. 15 N
D. 20 N

Correct Answer: B

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Question 7 View Details
A block of mass 5 kg is placed on a frictionless surface and connected to a spring with a spring cons\tant of 200 N/m. If the block is displaced by 0.2 m from its equilibrium position and released from rest, 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 8 View Details
A parallel plate capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 12 V. If the dis\tance between the plates is doubled, what is the new capaci\tance?
A. 5 μF
B. 10 μF
Correct C. 20 μF
D. 40 μF

Correct Answer: C

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Question 9 View Details
A radioactive sample has a half-life of 10 years. If the initial activity is 100 Bq, what is the activity after 20 years?
A. 12.5 Bq
Correct B. 25 Bq
C. 50 Bq
D. 100 Bq

Correct Answer: B

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Question 10 View Details
A magnetic field of 0.5 T is applied to a current-carrying wire of length 2 m. If the current is 5 A, what is the force on the wire?
A. 0.5 N
B. 1 N
Correct C. 2 N
D. 5 N

Correct Answer: C

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Question 11 View Details
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 12 View Details
A light ray passes from air into a glass of re\fractive index 1.5. If the angle of incidence is 30°, what is the angle of re\fraction?
A. 20°
B. 25°
Correct C. 30°
D. 35°

Correct Answer: C

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Question 13 View Details
A gas is enclosed in a container of volume 2 L at a pressure of 1 atm. If the temperature is increased by 10°C, what is the new pressure?
A. 1.1 atm
B. 1.2 atm
Correct C. 1.3 atm
D. 1.4 atm

Correct Answer: C

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Question 14 View Details
A photon of energy 2 eV is incident on a metal surface. If the work function of the metal is 1 eV, what is the maximum kinetic energy of the emitted electron?
A. 0.5 eV
B. 1 eV
Correct C. 1.5 eV
D. 2 eV

Correct Answer: C

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Question 15 View Details
A projectile is launched at an angle of 45° with an initial velocity of 10 m/s. If the air resis\tance is negligible, what is the maximum height reached by the projectile?
A. 2 m
B. 3 m
Correct C. 4 m
D. 5 m

Correct Answer: C

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Question 16 View Details
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. 6 m/s^2
Correct B. 12 m/s^2
C. 18 m/s^2
D. 24 m/s^2

Correct Answer: B

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Question 17 View Details
A block of mass 5 kg is attached to a horizontal, massless spring with a force cons\tant of 200 N/m. The block is displaced by 2 m from its equilibrium position and released from rest. What is the maximum speed of the block?
A. 4 m/s
B. 6 m/s
Correct C. 8 m/s
D. 10 m/s

Correct Answer: C

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Question 18 View Details
A parallel plate capacitor consists of two plates, each of area 0.1 m^2 and separated by a dis\tance of 0.01 m. The capaci\tance of the capacitor is 10 nF. If a potential difference of 5 V is applied across the capacitor, what is the magnitude of the electric field between the plates?
A. 10^6 V/m
Correct B. 10^7 V/m
C. 10^8 V/m
D. 10^9 V/m

Correct Answer: B

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Question 19 View Details
A beam of light is incident on a prism with an angle of incidence of 30°. If the angle of re\fraction is 20°, what is the angle of deviation?
A. 10°
B. 20°
Correct C. 30°
D. 40°

Correct Answer: C

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Question 20 View Details
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 force of 6 N, what is the magnitude of the acceleration of the particle?
A. 6 m/s^2
Correct B. 12 m/s^2
C. 18 m/s^2
D. 24 m/s^2

Correct Answer: B

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Question 21 View Details
A 10 kg block of ice at 0°C is placed in a 100°C water bath. Assuming the specific heat capacity of ice is 2090 J/(kg°C) and the latent heat of fusion of ice is 334 kJ/kg, calculate the time it takes for the ice to melt completely.
A. 10 minutes
B. 20 minutes
Correct C. 30 minutes
D. 40 minutes

Correct Answer: C

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Question 22 View Details
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, calculate the time it takes for the particle to complete one full revolution.
A. 2 seconds
Correct B. 4 seconds
C. 6 seconds
D. 8 seconds

Correct Answer: B

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Question 23 View Details
A 100 W light bulb is connected to a 220 V power source. If the resis\tance of the light bulb is 50 Ω, calculate the current flowing through the light bulb.
A. 2 A
Correct B. 4 A
C. 6 A
D. 8 A

Correct Answer: B

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Question 24 View Details
A wave has a frequency of 50 Hz and a wavelength of 10 m. Calculate the speed of the wave.
A. 500 m/s
Correct B. 1000 m/s
C. 1500 m/s
D. 2000 m/s

Correct Answer: B

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Question 25 View Details
A 5 kg block is attached to a horizontal spring with a spring cons\tant of 100 N/m. If the block is displaced by 2 m from its equilibrium position and released from rest, calculate the maximum speed of the block.
A. 10 m/s
B. 20 m/s
Correct C. 30 m/s
D. 40 m/s

Correct Answer: C

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