POST UTME UNIBEN 2019 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A gas is confined to a container with a volume of 2.5 L at a temperature of 300 K. If the temperature is increased to 400 K, what is the new volume of the gas?
A. 3.125 L
B. 3.75 L
C. 4.5 L
D. 5 L
Question 2
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. What is the current flowing through the circuit?
A. 1.5 A
B. 2 A
C. 2.5 A
D. 3 A
Question 3
A sound wave has a frequency of 200 Hz and a wavelength of 0.5 m. What is the speed of the sound wave?
A. 100 m/s
B. 200 m/s
C. 300 m/s
D. 400 m/s
Question 4
A light ray passes from air into a glass slab 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°
Question 5
A block of mass 5.0 kg is moving with a velocity of 2.0 m/s. If a force of 10 N is applied to the block for 3.0 s, what is the final velocity of the block?
A. 4.0 m/s
B. 5.0 m/s
C. 6.0 m/s
D. 7.0 m/s
Question 6
A heat engine operates between two temperatures of 500 K and 300 K. If the engine has an efficiency of 30%, what is its coefficient of performance?
A. 0.5
B. 1
C. 2
D. 3
Question 7
A radioactive sample of Δₗ emits Δₗα particles with a half-life of 5.27 years. If the initial activity is 1.0 µCi, what is the activity after 10.54 years?
A. 0.25 µCi
B. 0.125 µCi
C. 0.0625 µCi
D. 0.03125 µCi
Question 8
A particle of mass 2.0 kg is moving in a circular path of radius 3.0 m with a cons\tant speed of 4.0 m/s. What is the magnitude of the net force acting on the particle?
A. 12 N
B. 16 N
C. 20 N
D. 24 N
Question 9
A 100 W, 200 Ω resistor is connected to a 240 V supply. Calculate the current drawn from the supply.
A. 1 A
B. 1.2 A
C. 1.5 A
D. 2 A
Question 10
A radioactive sample of Uranium-238 undergoes \alpha decay. If the initial mass of the sample is 100 g, what is the mass of the daughter nucleus after 5 half-lives?
A. 12.5 g
B. 25 g
C. 50 g
D. 100 g
Question 11
A heat engine operates between two reservoirs at temperatures 500 K and 300 K. If the engine absorbs 100 J of heat from the high-temperature reservoir, what is the efficiency of the engine?
A. 0.25
B. 0.30
C. 0.35
D. 0.40
Question 12
A circuit consists of a 10 Ω resistor, a 20 Ω resistor, and a 5 Ω inductor in series. If a voltage of 12 V is applied across the circuit, what is the current through the inductor?
A. 0.5 A
B. 1 A
C. 2 A
D. 3 A
Question 13
A heat engine operates between a high-temperature reservoir at 500 K and a low-temperature reservoir at 300 K. If the engine has an efficiency of 30%, what is the temperature of the low-temperature reservoir?
A. 250 K
B. 300 K
C. 350 K
D. 400 K
Question 14
A 100 W light bulb is connected to a 220 V power source. What is the current flowing through the bulb?
A. 0.4 A
B. 0.5 A
C. 0.6 A
D. 0.7 A
Question 15
A magnetic field $B$ is directed perp\endicular to the plane of a circular loop of wire with radius $r$. If a current $I$ flows through the loop, the magnetic moment of the loop is given by $\mu = I\pi r^2$. Which of the following expressions for the torque $\tau$ experienced by the loop is correct?
A. \( \tau = \mu B \sin{\theta} \)
B. \( \tau = \mu B \cos{\theta} \)
C. \( \tau = \mu B \tan{\theta} \)
D. \( \tau = \mu B \cot{\theta} \)

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