POST UTME MOUNTAIN TOP UNIVERSITY 2020 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A parallel plate capacitor has a capaci\tance of 10 μF. If a potential difference of 20 V is applied across it, what is the charge stored?
A. 200 μC
B. 2000 μC
C. 20000 μC
D. 200000 μC
Question 2
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. Calculate the total resis\tance of the circuit.
A. 8 Ω
B. 10 Ω
C. 12 Ω
D. 14 Ω
Question 3
A simple harmonic oscillator of frequency ω is driven by a force F0 \cos ωt. If the oscillator's amplitude is A, what is the ratio of the oscillator's energy to its maximum energy?
A. 1/2
B. 1/4
C. 1/3
D. 1/6
Question 4
A capacitor of capaci\tance C is connected to a battery of voltage V. If the capacitor is disconnected from the battery and a dielectric of cons\tant k is inserted between the plates, what is the new capaci\tance?
A. C/k
B. kC
C. C + k
D. C - k
Question 5
A particle of mass 2 kg is moving in a circular path with a cons\tant speed of 4 m/s. If the radius of the circle is 3 m, what is the centripetal acceleration of the particle?
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 6
A \tank contains 1000 kg of water. If the temperature of the water is increased by 10°C, what is the change in volume of the water?
A. 0.1 m^3
B. 0.2 m^3
C. 0.3 m^3
D. 0.4 m^3
Question 7
A gas is enclosed in a cylinder with a movable piston. The gas is heated, cau\sing its pressure to increase. If the piston is allowed to move freely, what will happen to the volume of the gas?
A. The volume of the gas will decrease.
B. The volume of the gas will increase.
C. The volume of the gas will remain cons\tant.
D. The volume of the gas will increase and then decrease.
Question 8
A magnetic field of 0.5 T is applied to a coil of 100 turns and area 0.01 m^2. If the coil is rotated by 90°, what is the induced emf?
A. 0.01 V
B. 0.02 V
C. 0.05 V
D. 0.1 V
Question 9
A radioactive sample decays from 100 g to 50 g in 5 years. What is the half-life of the sample?
A. 2 years
B. 3 years
C. 5 years
D. 10 years
Question 10
A wave has a frequency of 50 Hz and a wavelength of 0.5 m. Calculate the speed of the wave.
A. 25 m/s
B. 50 m/s
C. 75 m/s
D. 100 m/s
Question 11
A particle of mass $m$ is moving in a circular orbit of radius $R$ under the influence of a central force. If the force is given by $F(r) = \frac{k}{r^2}$, where $k$ is a cons\tant, find the angular momentum of the particle in terms of $m$, $R$, and $k$.
A. \frac{m\cdot R^2 \cdot \sqrt{k}}{R}
B. \frac{m\cdot R^2 \cdot \sqrt{k}}{R^2}
C. \frac{m\cdot R^2 \cdot \sqrt{k}}{R^3}
D. \frac{m\cdot R^2 \cdot \sqrt{k}}{R^4}
Question 12
A beam of light is incident on a glass slab at an angle of incidence of 45°. If the re\fractive index of glass is 1.5, calculate the angle of re\fraction.
A. 30°
B. 45°
C. 60°
D. 75°
Question 13
A light ray passes through a prism of angle A and is re\fracted at an angle θ. If the angle of incidence is i, what is the angle of re\fraction?
A. \sin A \cos \theta
B. \sin A \cos \theta - \sin \theta \cos A
C. \sin A \cos \theta - \sin \theta \sqrt{1 - \sin^2 A}
D. \sin A \cos \theta + \sin \theta \cos A
Question 14
A particle of mass m is in a one-dimensional potential well of depth V0. If the particle's energy is E, what is the probability of finding the particle in the region x > 0?
A. 1/2
B. 1/4
C. 1/3
D. 1/6
Question 15
A heat engine operates between two temperatures $T_1$ and $T_2$. If the efficiency of the engine is $\eta = 1 - \frac{T_2}{T_1}$, find the temperature of the hot reservoir in terms of the efficiency and the temperature of the cold reservoir.
A. \frac{T_2}{T_1} = 1 - \eta
B. \frac{T_2}{T_1} = \eta - 1
C. \frac{T_2}{T_1} = \frac{\eta}{1 - \eta}
D. \frac{T_2}{T_1} = \frac{1 - \eta}{\eta}

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