POST UTME BSU 2017 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A ray of light passes from air into a glass slab of re\fractive index 1.5. If the angle of incidence is 30°, calculate the angle of re\fraction.
A. 20°
B. 25°
C. 30°
D. 35°
Question 2
A nucleus of mass number $A$ and atomic number $Z$ undergoes \beta decay. What is the resulting nucleus?
A. A' = A, Z' = Z
B. A' = A, Z' = Z + 1
C. A' = A + 1, Z' = Z
D. A' = A + 1, Z' = Z + 1
Question 3
A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the dielectric cons\tant of the material between the plates is 3.2, calculate the capaci\tance.
A. 1.6 x 10^-10 F
B. 3.2 x 10^-10 F
C. 4.8 x 10^-10 F
D. 6.4 x 10^-10 F
Question 4
A 10 kg block of copper is heated from 20°C to 80°C. If the specific heat capacity of copper is 0.385 J/g°C, what is the energy transferred to the block?
A. 38.5 J
B. 385 J
C. 3850 J
D. 38500 J
Question 5
A photon of energy $E = hf$ is incident on a metal surface. If the work function of the metal is $W = hf_0$, calculate the maximum kinetic energy of the electron emitted.
A. \( E - W \)
B. \( E + W \)
C. \( E - W + hf \)
D. \( E + W - hf \)
Question 6
A \tank contains 100 L of water at a temperature of 20°C. If 20 L of water at 80°C is added to the \tank, what is the final temperature of the water in the \tank?
A. 22°C
B. 25°C
C. 28°C
D. 30°C
Question 7
A 100 W light bulb is connected to a 220 V power source. If the resis\tance of the light bulb is 100 Ω, what is the current flowing through the light bulb?
A. 0.5 A
B. 1 A
C. 2 A
D. 4 A
Question 8
A circuit consists of a 12 V battery, a 4 Ω resistor, and a capacitor of capaci\tance 0.5 F. The circuit is connected to a switch that is initially open. At time $t = 0$, the switch is closed. What is the current in the circuit at $t = 1$ s?
A. 0 A
B. 2 A
C. 4 A
D. 6 A
Question 9
A wave with a frequency of 50 Hz and a wavelength of 2 m is traveling through a medium. If the wave is reflected from a fixed \end, what is the frequency of the reflected wave?
A. 50 Hz
B. 100 Hz
C. 150 Hz
D. 200 Hz
Question 10
A s\tanding wave is formed on a string of length 1 m with a frequency of 50 Hz. If the string is fixed at both \ends, calculate the wavelength of the wave.
A. 0.04 m
B. 0.08 m
C. 0.12 m
D. 0.16 m
Question 11
A 240 V, 50 Hz AC supply is connected to a 100 Ω resistor. What is the rms value of the current flowing through the resistor?
A. 0.5 A
B. 1.0 A
C. 1.5 A
D. 2.0 A
Question 12
A radioactive sample of Δₗ emits Δₗα particles with a half-life of 5.27 years. If the initial activity is 100 Bq, what is the activity after 10.54 years?
A. 20 Bq
B. 40 Bq
C. 80 Bq
D. 160 Bq
Question 13
A particle of mass $m$ is projected from the origin with an initial velocity $mathbf{v}_0 = v_0 \cos \theta mathbf{i} + v_0 \sin \theta mathbf{j}$, where $v_0$ is the magnitude of the initial velocity and $\theta$ is the angle of projection. If the particle is subject to a uniform gravitational field of strength $g$, find the equation of the trajectory of the particle in the $xy$-plane.
A. \( y = \frac{v_0^2}{2g} \sin^2 \theta - \frac{gx^2}{2v_0^2 \cos^2 \theta} \)
B. \( y = \frac{v_0^2}{2g} \sin^2 \theta + \frac{gx^2}{2v_0^2 \cos^2 \theta} \)
C. \( y = \frac{v_0^2}{2g} \sin^2 \theta - \frac{gx^2}{2v_0^2 \cos^2 \theta} + \frac{v_0^2}{2g} \)
D. \( y = \frac{v_0^2}{2g} \sin^2 \theta + \frac{gx^2}{2v_0^2 \cos^2 \theta} - \frac{v_0^2}{2g} \)
Question 14
A ray of light passes from air into a glass slab of thickness $t = 0.5, \text{m}$ and re\fractive index $n = 1.5$. If the angle of incidence is $\theta_i = 30^\circ$, what is the angle of re\fraction?
A. 20^\circ
B. 30^\circ
C. 40^\circ
D. 50^\circ
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. If the particle is subjected to a centripetal force of 12 N, what is the magnitude of the acceleration of the particle?
A. 6 m/s^2
B. 12 m/s^2
C. 18 m/s^2
D. 24 m/s^2

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