POST UTME UNILORIN 2017 Physics | Objective

Practice these randomly selected questions to test your readiness.

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 force?
A. 10 N
B. 12 N
C. 15 N
D. 20 N
Question 2
A 5 V battery is connected to a 10 Ω resistor in series. What is the current flowing through the circuit?
A. 0.2 A
B. 0.3 A
C. 0.4 A
D. 0.5 A
Question 3
A parallel plate capacitor has a capaci\tance of 5 μF and is charged to a potential difference of 10 V. If the plates are then separated by a dis\tance of 2 cm, what is the new capaci\tance?
A. 2.5 μF
B. 5 μF
C. 10 μF
D. 20 μF
Question 4
A 100 V, 50 Hz AC supply is connected to a 100 Ω resistor. Calculate the current flowing through the resistor.
A. 0.5 A
B. 1 A
C. 2 A
D. 5 A
Question 5
A light ray is incident on a glass slab at an angle of 45°. If the re\fractive index of the glass is 1.5, calculate the angle of re\fraction.
A. 30°
B. 45°
C. 60°
D. 75°
Question 6
A lens has a focal length of 0.1 m. If an object is placed 0.2 m in front of the lens, what is the image dis\tance?
A. 0.1 m
B. 0.2 m
C. 0.3 m
D. 0.4 m
Question 7
A nucleus of mass number 20 has a binding energy of 20 MeV. Calculate the binding energy per nucleon.
A. 0.5 MeV
B. 1 MeV
C. 2 MeV
D. 5 MeV
Question 8
A uniform solid sphere of mass M and radius R is placed in a uniform gravitational field. Find the gravitational potential energy of the sphere.
A. \( \frac{2}{5} \frac{GM^2}{R} \)
B. \( \frac{3}{5} \frac{GM^2}{R} \)
C. \( \frac{4}{5} \frac{GM^2}{R} \)
D. \( \frac{5}{5} \frac{GM^2}{R} \)
Question 9
A uniform magnetic field of strength 2.5 T is applied to a coil of wire with 50 turns. If the coil has a radius of 0.05 m and a resis\tance of 10 Ω, what is the induced emf when the coil is rotated through an angle of 90° in 0.1 s?
A. 0.25 V
B. 0.5 V
C. 1 V
D. 2 V
Question 10
A simple harmonic motion has a maximum displacement of 5 m and a period of 2 s. What is the angular frequency?
A. 1 rad/s
B. 2 rad/s
C. 3 rad/s
D. 4 rad/s
Question 11
A sound wave has a frequency of 200 Hz and a wavelength of 0.50 m. Calculate the speed of the sound wave.
A. 100 m/s
B. 200 m/s
C. 300 m/s
D. 400 m/s
Question 12
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 experiences a centripetal acceleration of 2 m/s^2, what is the magnitude of the net force acting on the particle?
A. 8 N
B. 10 N
C. 12 N
D. 16 N
Question 13
A 2 kg block is moving with a velocity of 5 m/s. If the block experiences a force of 10 N for 2 seconds, what is the change in its momentum?
A. 15 kg m/s
B. 20 kg m/s
C. 25 kg m/s
D. 30 kg m/s
Question 14
A radioactive sample decays from 100 g to 50 g in 10 minutes. If the half-life of the sample is 5 minutes, what is the decay cons\tant?
A. 0.1 min^-1
B. 0.2 min^-1
C. 0.3 min^-1
D. 0.4 min^-1
Question 15
A radioactive sample decays at a rate of 5% per hour. If the initial activity is 1000 Bq, what is the activity after 3 hours?
A. \( 250 , \text{Bq} \)
B. \( 375 , \text{Bq} \)
C. \( 500 , \text{Bq} \)
D. \( 625 , \text{Bq} \)

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