POST UTME BOWEN UNIVERSITY 2021 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A 10 Ω resistor is connected in series with a 20 Ω resistor and a 40 Ω resistor. If a potential difference of 12 V is applied across the circuit, what is the current flowing through the 10 Ω resistor?
A. 0.2 A
B. 0.4 A
C. 0.6 A
D. 0.8 A
Question 2
A 1000 W heater is connected to a 220 V AC supply. If the power factor of the heater is 0.8, calculate the current drawn from the supply.
A. 4.5 A
B. 5.0 A
C. 5.5 A
D. 6.0 A
Question 3
A beam of light is incident on a prism at an angle of incidence of $30^\circ$. If the re\fractive index of the prism is $\mu = 1.5$, what is the angle of re\fraction?
A. \theta_r = 20^\circ
B. \theta_r = 30^\circ
C. \theta_r = 40^\circ
D. \theta_r = 50^\circ
Question 4
A \tank is filled with water to a height of 5 m. If the density of water is 1000 kg/m^3, calculate the pressure at the bottom of the \tank.
A. 5000 Pa
B. 10000 Pa
C. 15000 Pa
D. 20000 Pa
Question 5
A block of mass 5 kg is attached to a horizontal spring with a spring cons\tant of 200 N/m. If the block is displaced by 2 m from its equilibrium position and released from rest, what is the maximum speed of the block?
A. 1 m/s
B. 2 m/s
C. 4 m/s
D. 8 m/s
Question 6
A light source emits light of wavelength 500 nm. The light passes through a double-slit apparatus and forms an interference pattern on a screen 2.0 m away. Calculate the dis\tance between the central maximum and the first minimum.
A. 1.0 mm
B. 2.0 mm
C. 3.0 mm
D. 4.0 mm
Question 7
A particle of mass $m$ is confined to a one-dimensional box of length $L$. The ground state wave function of the particle is given by \( psi_1\( x \ \) = \sqrt{\frac{2}{L}} \sinleft\( \frac{pi x}{L}\right \)). What is the expectation value of the position operator for this state?
A. \frac{L}{2}
B. \frac{L}{4}
C. \frac{3L}{4}
D. \frac{L}{\pi}
Question 8
A 10 V battery is connected to a 2 Ω resistor in series with a 4 Ω resistor. What is the current flowing through the 4 Ω resistor?
A. \( \frac{10}{6} \) A
B. \( \frac{10}{3} \) A
C. \( \frac{10}{2} \) A
D. \( \frac{10}{1} \) A
Question 9
A circuit consists of a resistor $R = 10\Omega$, an inductor $L = 5H$, and a capacitor $C = 10^{-6}F$. If the circuit is driven by a voltage source of $V = 20V$, what is the impedance of the circuit?
A. Z = 20\Omega
B. Z = 30\Omega
C. Z = 40\Omega
D. Z = 50\Omega
Question 10
A spring has a spring cons\tant of 100 N/m. If a force of 50 N is applied to the spring, calculate the displacement of the spring.
A. 0.5 m
B. 1.0 m
C. 1.5 m
D. 2.0 m
Question 11
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 12
A wave of wavelength $\lambda$ and frequency $f$ is traveling through a medium with speed $v$. What is the wave number of the wave?
A. \frac{2 \pi f}{v}
B. \frac{v}{2 \pi f}
C. \frac{f}{v}
D. \frac{v}{f}
Question 13
A radioactive sample of Uranium-238 undergoes \alpha decay. If the initial mass of the sample is 100 g, and the mass of the \alpha particle is 4 u, what is the mass of the daughter nucleus after 10 half-lives?
A. 0.001 g
B. 0.01 g
C. 0.1 g
D. 1 g
Question 14
A parallel plate capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 5 V. If the dis\tance between the plates is doubled, what is the new capaci\tance?
A. 5 μF
B. 10 μF
C. 20 μF
D. 50 μF
Question 15
A radioactive sample has a half-life of 5 years. If the initial activity is 1000 Bq, what is the activity after 10 years?
A. 250 Bq
B. 500 Bq
C. 750 Bq
D. 1000 Bq

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