POST UTME BABCOCK UNIVERSITY 2018 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A 2 kg block is attached to a horizontal, massless string. The block is pulled to the right with a force of 10 N and then released from rest. What is the speed of the block when it passes through the point where it was released?
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 2
A car travels from point A to point B with an average speed of 80 km/h. On the return trip, the car travels with an average speed of 60 km/h. What is the average speed of the car for the entire trip?
A. 65 km/h
B. 70 km/h
C. 75 km/h
D. 80 km/h
Question 3
A 4 kg block is attached to a horizontal, massless string. The block is pulled to the right with a force of 15 N and then released from rest. What is the speed of the block when it passes through the point where it was released?
A. 4 m/s
B. 6 m/s
C. 8 m/s
D. 10 m/s
Question 4
A projectile is launched from the ground with an initial velocity of 50 m/s at an angle of 60° above the horizontal. If the acceleration due to gravity is 9.8 m/s², calculate the time it takes for the projectile to reach its maximum height.
A. 2.0 s
B. 2.5 s
C. 3.0 s
D. 3.5 s
Question 5
A 5 kg block is projected up a 30° inclined plane with an initial velocity of 10 m/s. Assuming the coefficient of kinetic friction is 0.2, calculate the dis\tance traveled by the block before it comes to rest.
A. 5 m
B. 10 m
C. 15 m
D. 20 m
Question 6
A 5 μF capacitor is connected in series with a 10 kΩ resistor and a 20 V battery. If the initial current is 0 A, calculate the time cons\tant of the circuit.
A. 0.1 s
B. 0.5 s
C. 1.0 s
D. 2.0 s
Question 7
A wave has a frequency of 100 Hz and a wavelength of 0.5 m. What is the speed of the wave?
A. 50 m/s
B. 60 m/s
C. 70 m/s
D. 80 m/s
Question 8
A 3 kg block is attached to a horizontal, massless spring with a force cons\tant of 300 N/m. The block is displaced by 3 m from its equilibrium position and released from rest. What is the speed of the block when it passes through the equilibrium position?
A. 3 m/s
B. 6 m/s
C. 9 m/s
D. 12 m/s
Question 9
A light ray passes through 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. 15°
C. 20°
D. 25°
Question 10
A particle of mass 3 kg is moving in a circular path of radius 2 m with a speed of 4 m/s. What is its angular velocity?
A. 0.5 rad/s
B. 1 rad/s
C. 2 rad/s
D. 4 rad/s
Question 11
A wave has a frequency of 50 Hz and a wavelength of 0.2 m. Calculate the speed of the wave.
A. 10 m/s
B. 20 m/s
C. 30 m/s
D. 40 m/s
Question 12
A radioactive sample has a half-life of $T_{1/2}$. If the initial activity of the sample is $A_0$ and the activity at time $t$ is $A(t)$, what is the ratio of the activity at time $t$ to the initial activity?
A. \left\( \frac{1}{2}\right \)^{t/T_{1/2}}
B. \left\( \frac{1}{2}\right \)^{T_{1/2}/t}
C. \left\( \frac{1}{2}\right \)^{t/T_{1/2}} + \left\( \frac{1}{2}\right \)^{T_{1/2}/t}
D. \left\( \frac{1}{2}\right \)^{t/T_{1/2}} - \left\( \frac{1}{2}\right \)^{T_{1/2}/t}
Question 13
A concave lens has a focal length of -20 cm. If an object is placed 30 cm in front of the lens, what is the image dis\tance?
A. -60 cm
B. -40 cm
C. -20 cm
D. 10 cm
Question 14
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. If air resis\tance is neglected, what is the maximum height reached by the projectile?
A. 10 m
B. 15 m
C. 20 m
D. 25 m
Question 15
A gas at temperature $T$ and pressure $P$ is enclosed in a container of volume $V$. If the gas is heated to a temperature $T + \Delta T$ and the pressure is increased to $P + \Delta P$, what is the change in the volume of the gas?
A. \frac{V}{P} \Delta P
B. \frac{V}{T} \Delta T
C. \frac{V}{P} \Delta P + \frac{V}{T} \Delta T
D. \frac{V}{P} \Delta P - \frac{V}{T} \Delta T

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