POST UTME JOSEPH AYO BABALOLA UNIVERSITY 2019 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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 experiences a centripetal acceleration of 2 m/s^2, what is the magnitude of the net force acting on the particle?
A. 8 N
B. 10 N
C. 12 N
D. 16 N
Question 2
A particle of mass $m$ is moving in a straight line with a cons\tant acceleration $a$. Find the velocity $v$ of the particle after a time $t$.
A. u + at
B. u - at
C. u + \frac{at}{2}
D. u - \frac{at}{2}
Question 3
A particle of mass 1 kg is moving in a straight line with a velocity of 5 m/s. If the particle is subjected to a force of 10 N, what is the acceleration of the particle?
A. 2 m/s^2
B. 5 m/s^2
C. 10 m/s^2
D. 15 m/s^2
Question 4
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. If the projectile lands 10 seconds later, what is the magnitude of the horizontal component of the projectile's velocity?
A. 10 m/s
B. 15 m/s
C. 20 m/s
D. 25 m/s
Question 5
A parallel plate capacitor has plates of area $A$ and separation $d$. If a potential difference of $V$ is applied across the plates, calculate the capaci\tance $C$ u\sing the formula $C = \frac{epsilon_0 A}{d} left\( 1 - \frac{V^2}{2 epsilon_0 A V_0^2}\right \)$, where $V_0$ is the breakdown voltage of the dielectric material.
A. C = \frac{\epsilon_0 A}{d} \left\( 1 + \frac{V^2}{2 \epsilon_0 A V_0^2}\right \)
B. C = \frac{\epsilon_0 A}{d} \left\( 1 - \frac{V^2}{2 \epsilon_0 A V_0^2}\right \)
C. C = \frac{\epsilon_0 A}{d} \left\( 1 + \frac{V^2}{2 \epsilon_0 A V_0^2}\right \)
D. C = \frac{\epsilon_0 A}{d} \left\( 1 - \frac{V^2}{2 \epsilon_0 A V_0^2}\right \)
Question 6
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. What is the magnitude of the force acting on the particle?
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 7
A container of volume 2 L is filled with a gas at a pressure of 1 atm. If the temperature of the gas is increased by 10°C, what is the new pressure of the gas?
A. 1.1 atm
B. 1.2 atm
C. 1.3 atm
D. 1.4 atm
Question 8
A gas at $20^{circ}C$ is compressed adiabatically from an initial volume of $2.0 \times 10^{-3} \text{ m}^3$ to a final volume of $1.0 \times 10^{-3} \text{ m}^3$. If the gas cons\tant is $8.314 \text{ J K}^{-1} \text{ mol}^{-1}$ and the initial pressure is $1.0 \times 10^5 \text{ Pa}$, calculate the final pressure of the gas.
A. $2.0 \times 10^5 \text{ Pa}$
B. $4.0 \times 10^5 \text{ Pa}$
C. $6.0 \times 10^5 \text{ Pa}$
D. $8.0 \times 10^5 \text{ Pa}
Question 9
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 increased by a factor of 2, what is the new capaci\tance?
A. 5 μF
B. 10 μF
C. 20 μF
D. 50 μF
Question 10
A beam of light passes from air into a glass of re\fractive index $\mu = 1.5$. If the angle of incidence is $30^\circ$, calculate the angle of re\fraction $\theta_r$ u\sing Snell's law.
A. \theta_r = 20^\circ
B. \theta_r = 30^\circ
C. \theta_r = 40^\circ
D. \theta_r = 50^\circ
Question 11
A charged particle of mass 2 kg and charge 3 C is moving in a magnetic field of strength 2 T. If the particle experiences a force of 15 N, what is the magnitude of the velocity of the particle?
A. 3 m/s
B. 6 m/s
C. 9 m/s
D. 12 m/s
Question 12
A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. Find the magnitude of the centripetal acceleration $a_c$ of the particle.
A. \frac{v^2}{r}
B. \frac{r}{v^2}
C. \frac{v}{r}
D. \frac{r^2}{v}
Question 13
A point charge of $+2 mu \text{C}$ is placed at the origin of a coordinate system. A second point charge of $-3 mu \text{C}$ is placed at a dis\tance of $0.5 \text{ m}$ from the origin. Calculate the electric potential at a point $P$ located at $\( 0.2 \text{ m}, 0.3 \text{ m} \)$.
A. $-1200 \text{ V}$
B. $-600 \text{ V}$
C. $+600 \text{ V}$
D. $+1200 \text{ V}
Question 14
A thermodynamic system undergoes a process from state A to state B, where the initial temperature is $T_1 = 300 K$ and the final temperature is $T_2 = 400 K$. If the change in entropy is $\Delta S = 100 J/K$, calculate the heat transfer $Q$ u\sing the formula $\Delta S = \frac{Q}{T}$.
A. Q = 40000 J
B. Q = 50000 J
C. Q = 60000 J
D. Q = 70000 J
Question 15
A light ray passes through a prism with apex angle $A$ and is re\fracted at an angle $\theta$ from the normal. Find the angle of deviation $\delta$ of the light ray.
A. \( A - \theta \) + \theta
B. A - \theta
C. \theta - A
D. A + \theta

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