POST UTME RSU 2023 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A 100 g block of ice at 0°C is placed in a 200 g block of water at 20°C. What is the final temperature of the mixture?
A. 10°C
B. 15°C
C. 20°C
D. 25°C
Question 2
A heat engine operates between two reservoirs at temperatures $T_1 = 500 \text{ K}$ and $T_2 = 300 \text{ K}$. If the engine produces 1000 J of work per cycle, what is its efficiency?
A. 0.4
B. 0.5
C. 0.6
D. 0.7
Question 3
A current of 2 A flows through a resistor of 10 Ω. If the voltage across the resistor is 20 V, what is the power dissipated in the resistor?
A. 40 W
B. 80 W
C. 120 W
D. 160 W
Question 4
A block of mass 5 kg is attached to a horizontal spring with a force cons\tant of 100 N/m. If the block is displaced by 2 m from its equilibrium position and released, what is the maximum kinetic energy of the block?
A. 50 J
B. 100 J
C. 150 J
D. 200 J
Question 5
A gas of molecules with mass $m$ and charge $q$ is confined to a box of volume $V$. If the temperature of the gas is $T$, what is the pressure $P$ exerted by the gas?
A. P = \frac{2}{3} \frac{NkT}{V}
B. P = \frac{NkT}{V}
C. P = \frac{3}{2} \frac{NkT}{V}
D. P = \frac{5}{3} \frac{NkT}{V}
Question 6
A parallel plate capacitor has a capaci\tance of 2 μF. If a potential difference of 10 V is applied across it, what is the charge stored on the plates?
A. 20 μC
B. 40 μC
C. 60 μC
D. 80 μC
Question 7
A beam of light is incident on a prism at an angle of 30°. If the re\fractive index of the prism is 1.5, what is the angle of re\fraction?
A. 20°
B. 25°
C. 30°
D. 35°
Question 8
A quantum particle of mass $m$ is confined to a one-dimensional box of length $L$. If the particle is in the ground state, what is the energy $E_1$ of the particle?
A. E_1 = \frac{\pi^2 \hbar^2}{2mL^2}
B. E_1 = \frac{2\pi^2 \hbar^2}{mL^2}
C. E_1 = \frac{3\pi^2 \hbar^2}{2mL^2}
D. E_1 = \frac{4\pi^2 \hbar^2}{mL^2}
Question 9
A heat engine operates between a source at 500 K and a \sink at 300 K. If the efficiency of the engine is 30%, what is the temperature of the source?
A. 400 K
B. 500 K
C. 600 K
D. 700 K
Question 10
A parallel plate capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 20 V. If the plates are separated by a dis\tance of 2 mm, what is the surface charge density on the plates?
A. 10 μC/m^2
B. 20 μC/m^2
C. 30 μC/m^2
D. 40 μC/m^2
Question 11
A particle of mass 2 kg is moving in a circular path of radius 3 m with a speed of 4 m/s. Calculate the centripetal force acting on the particle.
A. 10 N
B. 12 N
C. 15 N
D. 18 N
Question 12
A 50 Ω resistor is connected to a 100 V voltage source. What is the power dissipated by the resistor?
A. 250 W
B. 500 W
C. 750 W
D. 1000 W
Question 13
A \sinusoidal voltage source has a maximum voltage of 20 V and a frequency of 50 Hz. What is the rms voltage?
A. 10 V
B. 14.14 V
C. 20 V
D. 28.28 V
Question 14
A 1000 Hz AC voltage source is connected to a 50 Ω resistor in series with a 20 μF capacitor. The circuit is driven by a 100 V peak-to-peak \sinusoidal voltage source. Calculate the phase angle between the voltage and current.
A. 0.2 radians
B. 0.5 radians
C. 1.0 radians
D. 1.5 radians
Question 15
A current of 2 A flows through a resistor of 4 Ω. What is the power dissipated by the resistor?
A. 8 W
B. 16 W
C. 32 W
D. 64 W

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