POST UTME BABCOCK UNIVERSITY 2019 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A parallel plate capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 12 V. If a dielectric slab of thickness 2 mm and dielectric cons\tant 4 is inserted between the plates, calculate the new capaci\tance.
A. 20 μF
B. 30 μF
C. 40 μF
D. 50 μF
Question 2
A 2 kg object is moving in a straight line with a velocity of 5 m/s. If the object experiences a force of 10 N for 2 seconds, what is the change in momentum of the object?
A. 10 kg m/s
B. 20 kg m/s
C. 30 kg m/s
D. 40 kg m/s
Question 3
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 4
A beam of light is incident on a glass slab of thickness $t$ and re\fractive index $n$. What is the angle of re\fraction?
A. \frac{n_1}{n_2} \sin \theta_1
B. \frac{n_2}{n_1} \sin \theta_1
C. \frac{n_1}{n_2} \cos \theta_1
D. \frac{n_2}{n_1} \cos \theta_1
Question 5
A particle is projected from the origin with an initial velocity of 20 m/s at an angle of 60° to the horizontal. Calculate the time of flight.
A. 2 s
B. 3 s
C. 4 s
D. 5 s
Question 6
A 2 kg block is moving in a circular path of radius 1.5 m with a cons\tant speed of 4 m/s. If the block is subjected to a \tangential force of 10 N, calculate the change in its kinetic energy.
A. 20 J
B. 30 J
C. 40 J
D. 50 J
Question 7
A gas is heated from 300 K to 400 K at cons\tant volume. If the initial pressure is 100 kPa, calculate the final pressure.
A. 120 kPa
B. 140 kPa
C. 160 kPa
D. 180 kPa
Question 8
A ray of light passes through a convex lens of focal length 20 cm. If the object dis\tance is 30 cm, calculate the image dis\tance.
A. 10 cm
B. 20 cm
C. 30 cm
D. 40 cm
Question 9
A particle of mass $m$ is confined to a one-dimensional box of length $L$. The ground state wave function of the particle is given by $psi_0(x) = \sqrt{\frac{2}{L}} \sinleft\( \frac{pi x}{L}\right \)$. What is the probability of finding the particle in the region $0 < x < \frac{L}{2}$?
A. 0.5
B. 0.25
C. 0.75
D. 0.33
Question 10
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. 25°
C. 30°
D. 35°
Question 11
A coil of wire with 100 turns and a radius of 0.1 m is placed in a magnetic field of strength 0.5 T. If the current in the coil is 2 A, calculate the torque experienced by the coil.
A. 0.1 Nm
B. 0.2 Nm
C. 0.3 Nm
D. 0.4 Nm
Question 12
A radioactive sample has a half-life of 5 years. If the initial activity is 100 Bq, what is the activity after 10 years?
A. 20 Bq
B. 40 Bq
C. 60 Bq
D. 80 Bq
Question 13
A particle of mass 1 kg is moving in a circular path with a cons\tant speed of 3 m/s. If the radius of the path is 2 m, what is the magnitude of the centripetal acceleration?
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 14
A gas is contained in a cylinder of volume V. If the temperature of the gas is increased by a factor of 2, what is the new pressure of the gas?
A. P/2
B. P
C. 2P
D. 4P
Question 15
A parallel plate capacitor has a capaci\tance of $C = 2 \mu F$. The plates are separated by a dis\tance of $d = 0.5 mm$. If a potential difference of $V = 10 V$ is applied across the plates, what is the surface charge density on the plates?
A. 1.0 \times 10^{-6} C/m^2
B. 2.0 \times 10^{-6} C/m^2
C. 3.0 \times 10^{-6} C/m^2
D. 4.0 \times 10^{-6} C/m^2

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