POST UTME ELIZADE UNIVERSITY 2019 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A light ray is incident on a glass slab of re\fractive index $\mu$ at an angle of incidence $\theta_1$. If the light ray is re\fracted at an angle of re\fraction $\theta_2$, what is the angle of re\fraction $\theta_2$ in terms of the angle of incidence $\theta_1$?
A. \frac{\mu\sin\theta_1}{\sqrt{\mu^2-\sin^2\theta_1}}
B. \frac{\sin\theta_1}{\mu}
C. \frac{\sin\theta_1}{\sqrt{\mu^2-\sin^2\theta_1}}
D. \frac{\mu\sin\theta_1}{\sqrt{\mu^2+\sin^2\theta_1}}
Question 2
A radioactive sample emits \alpha particles with a half-life of 5 days. If the initial activity is 100 Bq, what is the activity after 10 days?
A. 50 Bq
B. 25 Bq
C. 12.5 Bq
D. 6.25 Bq
Question 3
A radioactive sample has an initial activity of $A_0 = 100, \text{Bq}$. If the sample decays with a half-life of $t_{1/2} = 10, \text{min}$, what is the activity of the sample after $t = 30, \text{min}$?
A. $20, \text{Bq}$
B. $30, \text{Bq}$
C. $40, \text{Bq}$
D. $50, \text{Bq}
Question 4
A current of 2 A flows through a wire of resis\tance 10 Ω. What is the power dissipated in the wire?
A. 20 W
B. 40 W
C. 60 W
D. 80 W
Question 5
A beam of light is incident on a prism of re\fracting angle $\alpha$ at an angle of incidence $\theta_1$. If the angle of re\fraction $\theta_2$ is measured to be $\theta_2$, what is the angle of deviation $\delta$ in terms of the angle of incidence $\theta_1$?
A. \delta=\alpha+\theta_1-\theta_2
B. \delta=\alpha-\theta_1+\theta_2
C. \delta=\alpha+\theta_1+\theta_2
D. \delta=\alpha-\theta_1-\theta_2
Question 6
A projectile is launched from the origin with an initial velocity of $v_0 = 20, \text{m/s}$ at an angle of $\theta = 45^circ$ above the horizontal. If the projectile lands at a dis\tance of $R = 50, \text{m}$ from the origin, what is the time of flight $T$?
A. $2.0, \text{s}$
B. $2.5, \text{s}$
C. $3.0, \text{s}$
D. $3.5, \text{s}
Question 7
A particle of mass 0.5 kg is moving in a circular path of radius 2 m with a speed of 4 m/s. What is the centripetal force acting on the particle?
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 8
A light ray passes from air into a glass slab of re\fractive index 1.5. If the angle of incidence is 30°, what is the angle of re\fraction?
A. 20°
B. 25°
C. 30°
D. 35°
Question 9
A particle of mass $m$ is moving in a circular orbit of radius $r$ with a speed $v$. If the particle is then placed in a uniform magnetic field of strength $B$, what is the magnitude of the magnetic force $F_B$ acting on the particle?
A. \frac{mv^2}{r}
B. \frac{mv^2}{r^2}
C. qvB
D. \frac{q^2v^2}{r^2}
Question 10
A parallel plate capacitor with plate area $A$ and separation $d$ is connected to a battery of electromotive force $V$. If the capacitor is then disconnected from the battery and the separation between the plates is increased to $2d$, what is the new capaci\tance $C_2$ in terms of the original capaci\tance $C_1$?
A. \frac{C_1}{4}
B. \frac{C_1}{2}
C. \frac{C_1}{3}
D. \frac{C_1}{5}
Question 11
A gas expands from 1.5 L to 2.5 L against a cons\tant external pressure of 2 atm. What is the work done by the gas?
A. 10 J
B. 20 J
C. 30 J
D. 40 J
Question 12
A simple harmonic motion has an amplitude of $A = 2.0, \text{m}$ and a frequency of $f = 3.0, \text{Hz}$. If the motion is described by the equation $x(t) = A \cos\( omega t + phi \)$, what is the phase angle $phi$?
A. $0^circ$
B. $30^circ$
C. $60^circ$
D. $90^circ$
Question 13
A light source is placed 2 m away from a convex lens of focal length 0.5 m. What is the image dis\tance?
A. 1 m
B. 2 m
C. 3 m
D. 4 m
Question 14
A heat engine operates between two temperatures $T_1 = 500, \text{K}$ and $T_2 = 300, \text{K}$. If the engine has an efficiency of $eta = 30%$, what is the temperature of the hot reservoir?
A. $500, \text{K}$
B. $550, \text{K}$
C. $600, \text{K}$
D. $650, \text{K}
Question 15
A point charge of +2 μC is placed at the origin. A second point charge of -3 μC is placed 0.5 m away from the first charge. What is the electric potential at a point 0.2 m away from the second charge?
A. 100 V
B. 200 V
C. 300 V
D. 400 V

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