POST UTME RSU 2020 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A 2.5 mH inductor is connected in series with a 3.2 kΩ resistor and a 10 V battery. If the initial current is 0 A, find the current at t = 5 s.
A. 0.5 A
B. 1.0 A
C. 1.5 A
D. 2.0 A
Question 2
A simple harmonic motion has a frequency of 2 Hz and an amplitude of 5 units. What is the angular frequency?
A. 4 rad/s
B. 10 rad/s
C. 20 rad/s
D. 40 rad/s
Question 3
A particle of mass 0.5 kg is attached to a spring with a spring cons\tant of 100 N/m. If the particle is displaced by 0.2 m from its equilibrium position and released from rest, calculate the maximum speed of the particle.
A. 0.5 m/s
B. 1.0 m/s
C. 1.5 m/s
D. 2.0 m/s
Question 4
A 10 Ω resistor is connected in parallel with a 20 Ω resistor. If a 12 V battery is connected across the combination, find the current through the 10 Ω resistor.
A. 0.6 A
B. 0.8 A
C. 1.0 A
D. 1.2 A
Question 5
A 10 μF capacitor is connected in series with a 20 Ω resistor across a 12 V DC source. If the time cons\tant of the circuit is 0.5 s, calculate the charge on the capacitor after 1.0 s.
A. 0.5 C
B. 1.0 C
C. 1.5 C
D. 2.0 C
Question 6
A particle of mass 2 kg is projected from the origin with an initial velocity of 20 m/s at an angle of 60° to the horizontal. If the particle is subject to a uniform gravitational field of 10 m/s², calculate the time taken for the particle to reach its maximum height.
A. 2.5 s
B. 3.33 s
C. 4 s
D. 5 s
Question 7
A wave has a frequency of 50 Hz and a wavelength of 10 m. What is the speed of the wave?
A. 250 m/s
B. 500 m/s
C. 750 m/s
D. 1000 m/s
Question 8
A gas expands from an initial volume $V_1$ to a final volume $V_2$ at a cons\tant temperature $T$. If the gas's initial pressure is $P_1$, what is its final pressure $P_2$?
A. \frac{P_1V_1}{V_2}
B. \frac{P_1V_2}{V_1}
C. \frac{P_1V_1^2}{V_2}
D. \frac{P_1V_2^2}{V_1}
Question 9
A point charge of 5 μC is placed at the origin of a coordinate system. Find the electric potential at a point 2 m away from the charge.
A. 100 V
B. 200 V
C. 300 V
D. 400 V
Question 10
A Carnot engine operates between two temperatures $T_1$ and $T_2$, where $T_1 > T_2$. If the engine's efficiency is $\eta$, what is its coefficient of performance $\beta$?
A. \frac{T_1}{T_1-T_2}
B. \frac{T_2}{T_1-T_2}
C. \frac{T_1-T_2}{T_2}
D. \frac{T_1}{T_2}
Question 11
A 2 m long rod is heated from 20°C to 100°C. If the coefficient of linear expansion is 10 × 10^\( -5 \) K^\( -1 \), calculate the change in length of the rod.
A. 0.2 m
B. 0.4 m
C. 0.6 m
D. 0.8 m
Question 12
A 10 μF capacitor is connected in parallel with a 20 μF capacitor across a 12 V DC source. Calculate the equivalent capaci\tance of the circuit.
A. 10 μF
B. 20 μF
C. 30 μF
D. 40 μF
Question 13
A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the capaci\tance is 8 x 10^-6 F, what is the value of the dielectric cons\tant?
A. 1.25
B. 1.5
C. 2.0
D. 2.5
Question 14
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. If the current in the circuit is 2 A, calculate the voltage drop across the 6 Ω resistor.
A. 8 V
B. 12 V
C. 16 V
D. 20 V
Question 15
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. What is the magnitude of the centripetal acceleration?
A. 4 m/s^2
B. 8 m/s^2
C. 12 m/s^2
D. 16 m/s^2

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