POST UTME MOUNTAIN TOP UNIVERSITY 2018 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A photon of wavelength 400 nm is incident on a metal surface. If the work function of the metal is 2.5 eV, calculate the maximum kinetic energy of the emitted electron.
A. 1.0 eV
B. 1.5 eV
C. 2.0 eV
D. 2.5 eV
Question 2
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?
A. Positive x-direction
B. Negative x-direction
C. Positive y-direction
D. Negative y-direction
Question 3
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
C. 50 N
D. 100 N
Question 4
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
C. 8 N
D. 10 N
Question 5
A 50 Hz AC voltage is applied across a 100 Ω resistor. If the current is 2 A, calculate the power consumed by the resistor.
A. 100 W
B. 200 W
C. 300 W
D. 400 W
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
C. 5000\Omega
D. 10,000\Omega
Question 7
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
B. 20.0 rad/s
C. 30.0 rad/s
D. 40.0 rad/s
Question 8
A beam of light passes from air into a glass of re\fractive index 1.5. If the angle of incidence is 30°, calculate the angle of re\fraction.
A. 20°
B. 30°
C. 40°
D. 50°
Question 9
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
C. 16 N
D. 20 N
Question 10
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
C. 40 degrees
D. 50 degrees
Question 11
A quantum particle is confined to a one-dimensional box of length 1m. What is the energy of the particle in the ground state?
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
Question 12
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 0.2 m from its equilibrium position and released from rest. Assuming the motion is simple harmonic, calculate the maximum speed of the block as it passes through the equilibrium position.
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 13
A radioactive sample has a half-life of 5 years. If the initial activity of the sample is 1000 Bq, calculate the activity of the sample after 10 years.
A. 500 Bq
B. 750 Bq
C. 1000 Bq
D. 1250 Bq
Question 14
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
B. 50 Bq
C. 75 Bq
D. 100 Bq
Question 15
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°
B. 25°
C. 30°
D. 35°

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