POST UTME MOUNTAIN TOP UNIVERSITY 2018 Physics | Objective

Are you preparing for POST UTME MOUNTAIN TOP UNIVERSITY exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2018 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 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 2
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. If the current in the circuit is 0.5 A, what is the power dissipated in the 6 Ω resistor?
A. 1.5 W
Correct B. 2.5 W
C. 3.5 W
D. 4.5 W

Correct Answer: B

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Question 3
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, 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 4
A radioactive sample has a half-life of 10 years. If the initial activity of the sample is 100 Bq, what is the activity of the sample after 20 years?
A. 25 Bq
Correct B. 50 Bq
C. 75 Bq
D. 100 Bq

Correct Answer: B

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Question 5
A quantum particle has a wave function given by ψ(x) = Ae^\( -αx^2 \). If the probability of finding the particle in the region x = 0 to x = 1 is 0.5, what is the value of α?
A. 0.5
Correct B. 1.0
C. 1.5
D. 2.0

Correct Answer: B

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Question 6
A 1000Omega resistor is connected in series with a 20mH inductor and a 10mu F capacitor. If the circuit is driven by a 50Hz AC source with a peak voltage of 10V, what is the impedance of the circuit?
A. 1000\Omega
B. 2000\Omega
Correct C. 5000\Omega
D. 10,000\Omega

Correct Answer: C

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Question 7
A gas at 300K and 1 atm expands isothermally until its volume is tripled. What is the work done by the gas?
A. 0 J
B. 100 J
C. 300 J
Correct D. 900 J

Correct Answer: D

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Question 8
A particle of mass 2kg is moving in a circular path of radius 5m with a speed of 10m/s. What is the magnitude of the centripetal force acting on the particle?
A. 10 N
B. 20 N
Correct C. 50 N
D. 100 N

Correct Answer: C

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Question 9
A beam of light is incident on a glass slab at an angle of 30 degrees. If the re\fractive index of the glass is 1.5, what is the angle of re\fraction?
A. 20 degrees
B. 30 degrees
Correct C. 40 degrees
D. 50 degrees

Correct Answer: C

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Question 10
A quantum particle is confined to a one-dimensional box of length 1m. What is the energy of the particle in the ground state?
Correct A. 1.6\times 10^{-19} J
B. 3.2\times 10^{-19} J
C. 4.8\times 10^{-19} J
D. 6.4\times 10^{-19} J

Correct Answer: A

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Question 11
A charged particle of mass 2.0 kg and charge 3.0 μC is moving in a circular path of radius 0.5 m in a uniform magnetic field of strength 2.0 T. What is the angular frequency of the particle?
A. 10.0 rad/s
Correct B. 20.0 rad/s
C. 30.0 rad/s
D. 40.0 rad/s

Correct Answer: B

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Question 12
A parallel plate capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 100 V. If the dis\tance between the plates is doubled, what is the new capaci\tance?
A. 5.0 μF
Correct B. 10.0 μF
C. 20.0 μF
D. 40.0 μF

Correct Answer: B

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Question 13
A photon of wavelength 500 nm is incident on a metal surface. If the work function of the metal is 2.0 eV, what is the maximum kinetic energy of the emitted electron?
A. 0.5 eV
B. 1.0 eV
Correct C. 1.5 eV
D. 2.0 eV

Correct Answer: C

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Question 14
A particle of mass 1.0 kg is moving in a straight line with an initial velocity of 5.0 m/s. If the particle experiences a cons\tant acceleration of 2.0 m/s^2, what is the velocity of the particle after 3.0 s?
A. 10.0 m/s
B. 12.0 m/s
Correct C. 15.0 m/s
D. 18.0 m/s

Correct Answer: C

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Question 15
A coil of wire has a resis\tance of 10 Ω and an induc\tance of 5.0 H. If the coil is connected to a 20 V AC source with a frequency of 50 Hz, what is the impedance of the coil?
A. 20 Ω
B. 30 Ω
Correct C. 40 Ω
D. 50 Ω

Correct Answer: C

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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 angle between the force and the radius vector at the ins\tant when the particle is at the top of its path?
Correct A. π/2
B. π/3
C. π/4
D. π/6

Correct Answer: A

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Question 17
A parallel plate capacitor has a capaci\tance of 5 μF and is charged to a potential difference of 10 V. If a dielectric slab of thickness 2 mm and dielectric cons\tant 3 is inserted between the plates, what is the new capaci\tance?
A. 6 μF
B. 8 μF
Correct C. 10 μF
D. 12 μF

Correct Answer: C

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Question 18
A ray of light 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°
Correct B. 25°
C. 30°
D. 35°

Correct Answer: B

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Question 19
A 100 Ω resistor is connected in series with a 20 μF capacitor and a 50 mH inductor. If the circuit is driven by a 10 V, 50 Hz AC source, what is the impedance of the circuit?
A. 150 Ω
B. 200 Ω
Correct C. 250 Ω
D. 300 Ω

Correct Answer: C

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Question 20
A 2 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 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. 0.5 m/s
B. 1 m/s
Correct C. 1.5 m/s
D. 2 m/s

Correct Answer: C

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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 magnitude of 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 has a frequency of 50 Hz and a wavelength of 0.1 m. If the wave is traveling in the positive x-direction, what is the direction of the wave's velocity?
Correct A. Positive x-direction
B. Negative x-direction
C. Positive y-direction
D. Negative y-direction

Correct Answer: A

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Question 23
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 24
A vector has a magnitude of 5 units and makes an angle of 30° with the positive x-axis. If the vector is rotated by 60° counterclockwise, what is its new angle with the positive x-axis?
A. 30°
B. 60°
Correct C. 90°
D. 120°

Correct Answer: C

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Question 25
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 magnitude of the force acting on the particle?
A. 4 N
B. 6 N
Correct C. 8 N
D. 10 N

Correct Answer: C

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