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POST UTME JOSEPH AYO BABALOLA UNIVERSITY 2019 Physics | Objective

Are you preparing for POST UTME JOSEPH AYO BABALOLA UNIVERSITY exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2019 Physics (Objective) questions designed to simulate the real exam environment.

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Question 1

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 $

Correct 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 $

Correct Answer: B

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Question 2

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.

Correct A. \theta_r = 20^\circ

B. \theta_r = 30^\circ

C. \theta_r = 40^\circ

D. \theta_r = 50^\circ

Correct Answer: A

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Question 3

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

Correct B. Q = 50000 J

C. Q = 60000 J

D. Q = 70000 J

Correct Answer: B

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Question 4

A magnetic field is produced by a current-carrying wire. If the current is $I = 2 A$ and the length of the wire is $L = 1 m$, calculate the magnetic field strength $B$ u\sing the formula $B = \frac{\mu_0 I}{2 \pi r}$, where $r$ is the dis\tance from the wire.

A. B = 0.1 T

Correct B. B = 0.2 T

C. B = 0.3 T

D. B = 0.4 T

Correct Answer: B

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Question 5

A quantum mechanical system is described by the wave function $\psi(x) = Ae^{ikx}$, where $A$ is a cons\tant and $k$ is the wave number. If the energy of the system is $E = \hbar^2 k^2 / 2m$, calculate the momentum $p$ u\sing the formula $p = \hbar k$.

Correct A. p = \hbar k

B. p = 2\hbar k

C. p = 3\hbar k

D. p = 4\hbar k

Correct Answer: A

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Question 6

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. $2.0 \times 10^5 \text{ Pa}$

Correct B. $4.0 \times 10^5 \text{ Pa}$

C. $6.0 \times 10^5 \text{ Pa}$

D. $8.0 \times 10^5 \text{ Pa}

Correct Answer: B

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Question 7

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 $$ 0.2 \text{ m}, 0.3 \text{ m} $$.

Correct A. $-1200 \text{ V}$

B. $-600 \text{ V}$

C. $+600 \text{ V}$

D. $+1200 \text{ V}

Correct Answer: A

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Question 8

A radioactive sample of $^{238} \text{U}$ has an initial activity of $1.0 \times 10^4 \text{ Bq}$. If the half-life of $^{238} \text{U}$ is $4.5 \times 10^9 \text{ years}$, calculate the activity of the sample after $1.0 \times 10^9 \text{ years}$.

A. $5.0 \times 10^3 \text{ Bq}$

Correct B. $1.0 \times 10^4 \text{ Bq}$

C. $2.0 \times 10^4 \text{ Bq}$

D. $5.0 \times 10^4 \text{ Bq}

Correct Answer: B

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Question 9

A particle of mass $0.5 \text{ kg}$ is moving in a circular path of radius $2.0 \text{ m}$ with a cons\tant speed of $4.0 \text{ m s}^{-1}$. Calculate the magnitude of the force acting on the particle.

A. $2.0 \text{ N}$

B. $4.0 \text{ N}$

Correct C. $6.0 \text{ N}$

D. $8.0 \text{ N}

Correct Answer: C

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Question 10

A block of mass $10 \text{ kg}$ is attached to a horizontal spring with a force cons\tant of $100 \text{ N m}^{-1}$. If the block is displaced by $0.5 \text{ m}$ from its equilibrium position and released from rest, calculate the maximum speed of the block.

A. $2.0 \text{ m s}^{-1}$

B. $4.0 \text{ m s}^{-1}$

Correct C. $6.0 \text{ m s}^{-1}$

D. $8.0 \text{ m s}^{-1}

Correct Answer: C

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Question 11

A particle of mass $m$ is attached to a spring with spring cons\tant $k$. The particle is displaced from its equilibrium position by a dis\tance $x_0$ and released from rest. Assuming the motion is simple harmonic, find the angular frequency $omega$ of the particle's motion.

Correct A. \sqrt{\frac{k}{m}}

B. \frac{k}{m}

C. \frac{m}{k}

D. \frac{1}{\sqrt{mk}}

Correct Answer: A

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Question 12

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.

Correct A. $ A - \theta $ + \theta

B. A - \theta

C. \theta - A

D. A + \theta

Correct Answer: A

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Question 13

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.

Correct A. \frac{v^2}{r}

B. \frac{r}{v^2}

C. \frac{v}{r}

D. \frac{r^2}{v}

Correct Answer: A

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Question 14

A light ray passes through a lens with focal length $f$ and is re\fracted at an angle $\theta$ from the normal. Find the angle of deviation $\delta$ of the light ray.

Correct A. \frac{1}{f}

B. f

C. \frac{f}{1}

D. \frac{1}{f^2}

Correct Answer: A

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Question 15

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 $t$.

Correct A. u + at

B. u - at

C. u + \frac{at}{2}

D. u - \frac{at}{2}

Correct Answer: A

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Question 16

A 50 Hz AC generator produces an emf of 200 V. If the current in the circuit is 5 A, what is the impedance of the circuit?

A. 20 Ω

B. 30 Ω

Correct C. 40 Ω

D. 50 Ω

Correct Answer: C

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Question 17

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

Correct C. 30 N

D. 40 N

Correct Answer: C

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Question 18

A 10 μF capacitor is connected in series with a 20 Ω resistor. If a 100 V AC source is applied across the circuit, what is the current in the circuit?

A. 1 A

B. 2 A

Correct C. 2.5 A

D. 3 A

Correct Answer: C

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Question 19

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. What is the maximum height reached by the projectile?

A. 5 m

Correct B. 10 m

C. 15 m

D. 20 m

Correct Answer: B

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Question 20

A 100 Ω resistor is connected in parallel with a 200 Ω resistor. If a 10 V DC source is applied across the circuit, what is the current in the 100 Ω resistor?

A. 0.05 A

Correct B. 0.1 A

C. 0.15 A

D. 0.2 A

Correct Answer: B

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Question 21

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. 10 m/s^2

Correct B. 12 m/s^2

C. 15 m/s^2

D. 20 m/s^2

Correct Answer: B

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Question 22

A 100 W light bulb is connected to a 220 V power source. If the resis\tance of the bulb is 10 Ω, what is the current flowing through the bulb?

A. 2 A

Correct B. 4 A

C. 6 A

D. 8 A

Correct Answer: B

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Question 23

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

Correct C. 1.3 atm

D. 1.4 atm

Correct Answer: C

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Question 24

A 5 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 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. 2 m/s

B. 4 m/s

Correct C. 6 m/s

D. 8 m/s

Correct Answer: C

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Question 25

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

Correct C. 20 μF

D. 50 μF

Correct Answer: C

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