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POST UTME MADONNA UNIVERSITY 2018 Physics | Objective

Are you preparing for POST UTME MADONNA UNIVERSITY exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2018 Physics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1

A radioactive sample has a half-life of 5 years. If the initial activity is 100 Bq, what is the activity after 10 years?

A. 50 Bq

B. 25 Bq

Correct C. 12.5 Bq

D. 6.25 Bq

Correct Answer: C

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Question 2

A 12 V battery is connected in series with a 4 Ω resistor and a 6 Ω resistor. What is the total resis\tance?

A. 6 Ω

Correct B. 8 Ω

C. 10 Ω

D. 12 Ω

Correct Answer: B

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Question 3

A 100 μF capacitor is connected in parallel with a 200 μF capacitor. What is the equivalent capaci\tance?

A. 50 μF

B. 100 μF

C. 200 μF

Correct D. 300 μF

Correct Answer: D

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Question 4

A 50 Hz AC voltage is applied across a 100 Ω resistor. What is the maximum current?

A. 0.5 A

Correct B. 1 A

C. 2 A

D. 5 A

Correct Answer: B

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Question 5

A 2 kg object is moving with a velocity of 5 m/s. What is its kinetic energy?

A. 10 J

Correct B. 20 J

C. 25 J

D. 50 J

Correct Answer: B

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Question 6

A gas is enclosed in a cylinder with a movable piston. The gas is heated, cau\sing its pressure to increase. If the piston is allowed to move freely, what will happen to the volume of the gas?

A. The volume will decrease

Correct B. The volume will increase

C. The volume will remain cons\tant

D. The volume will decrease and then increase

Correct Answer: B

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Question 7

A sound wave with a frequency of 200 Hz is traveling through a medium with a speed of 340 m/s. What is the wavelength of the sound wave?

Correct A. 1.7 m

B. 1.7 cm

C. 1.7 km

D. 1.7 μm

Correct Answer: A

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Question 8

A block of mass 5 kg is attached to a horizontal spring with a spring cons\tant of 100 N/m. The block is displaced by 0.2 m from its equilibrium position and released from rest. What is the maximum speed of the block?

A. 0.5 m/s

B. 1.0 m/s

Correct C. 1.5 m/s

D. 2.0 m/s

Correct Answer: C

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Question 9

A ray of light passes from air into a glass block with a re\fractive index of 1.5. If the angle of incidence is 30°, what is the angle of re\fraction?

Correct A. 20°

B. 30°

C. 40°

D. 50°

Correct Answer: A

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Question 10

A simple harmonic motion has a period of 2 s and an amplitude of 0.5 m. What is the angular frequency of the motion?

A. 1.0 rad/s

Correct B. 2.0 rad/s

C. 3.0 rad/s

D. 4.0 rad/s

Correct Answer: B

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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 $omega$ in terms of $k$ and $m$.

A. \omega = \frac{k}{m}

B. \omega = \sqrt{\frac{m}{k}}

C. \omega = \frac{m}{k}

Correct D. \omega = \sqrt{\frac{k}{m}}

Correct Answer: D

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Question 12

A block of mass $M$ is placed on a frictionless surface and connected to a spring with spring cons\tant $k$. The block is then displaced from its equilibrium position by a dis\tance $x_0$ and released from rest. Assuming the motion is simple harmonic, find the force exerted by the spring on the block as a function of time $t$.

Correct A. F = -kx = -kA\cos\omega t

B. F = -kx = kA\sin\omega t

C. F = -kx = kA\cos\omega t

D. F = -kx = -kA\sin\omega t

Correct Answer: A

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Question 13

A \tank of water is filled to a height $h$ and has a radius $R$. A small hole of radius $r$ is drilled at the bottom of the \tank. Assuming the water flows out of the hole with a speed $v$ and neglecting air resis\tance, find the rate at which the water level falls.

Correct A. \frac{dh}{dt} = -\frac{r^2 v}{\pi R^2 h}

B. \frac{dh}{dt} = -\frac{v}{\pi R^2 h}

C. \frac{dh}{dt} = -\frac{r^2 v}{\pi R^2}

D. \frac{dh}{dt} = -\frac{v}{\pi R^2}

Correct Answer: A

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Question 14

A wire of length $L$ and cross-sectional area $A$ is stretched between two fixed points. The tension in the wire is $T$. Assuming the wire is uniform and neglecting the effects of gravity, find the speed of a transverse wave propagating along the wire.

Correct A. v = \sqrt{\frac{T}{\rho A}}

B. v = \sqrt{\frac{\rho A}{T}}

C. v = \sqrt{\frac{A}{\rho T}}

D. v = \sqrt{\frac{\rho}{A T}}

Correct Answer: A

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Question 15

A point charge $q$ is placed at the origin of a coordinate system. A second point charge $Q$ is placed at a dis\tance $r$ from the origin. Assuming the charges are stationary and neglecting the effects of gravity, find the electric potential at a point $P$ located at a dis\tance $x$ from the origin.

Correct A. V = k \frac{q Q}{r}

B. V = k \frac{q}{r}

C. V = k \frac{Q}{r}

D. V = k \frac{q Q}{x}

Correct Answer: A

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Question 16

A particle of mass $m$ is confined to a one-dimensional box of length $L$. The wave function of the particle is given by $psi(x) = \sqrt{\frac{2}{L}} \sinleft$ \frac{npi x}{L}\right $$, where $n$ is a positive integer. What is the expectation value of the position operator for this particle?

A. 0

Correct B. \frac{L}{2}

C. L

D. \frac{n\pi L}{2}

Correct Answer: B

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Question 17

A simple harmonic motion is described by the equation $x(t) = A \cos$ \omega t + \phi $$, where $A$ is the amplitude, $\omega$ is the angular frequency, and $\phi$ is the phase angle. What is the maximum acceleration of the particle at time $t = 0$?

Correct A. A\omega^2

B. A\omega

C. A\omega^3

D. A\omega^4

Correct Answer: A

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Question 18

A convex lens of focal length $f$ is placed in a beam of light. The object dis\tance is $u$ and the image dis\tance is $v$. What is the magnification of the lens?

A. \frac{f}{u}

B. \frac{u}{f}

Correct C. \frac{v}{u}

D. \frac{f}{v}

Correct Answer: C

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Question 19

A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. What is the magnitude of the centripetal acceleration?

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

B. \frac{r}{v}

C. \frac{v}{r}

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

Correct Answer: A

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Question 20

A heat engine operates between two temperatures $T_1$ and $T_2$, where $T_1 > T_2$. The efficiency of the engine is given by $\eta = 1 - \frac{T_2}{T_1}$. What is the maximum possible efficiency of the engine?

Correct A. 1 - \frac{T_2}{T_1}

B. \frac{T_1 - T_2}{T_1}

C. \frac{T_2 - T_1}{T_2}

D. \frac{T_1}{T_2}

Correct Answer: A

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Question 21

A uniform solid sphere of radius R and mass M is placed at the bottom of a deep well. The well is frictionless and has a negligible depth compared to R. What is the gravitational potential energy of the sphere at the bottom of the well?

A. 0

B. -\frac{GM^2}{2R}

Correct C. -\frac{GM^2}{R}

D. \frac{GM^2}{2R}

Correct Answer: C

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Question 22

A radioactive sample has a half-life of 5 years. If the initial activity is 100 Bq, what is the activity after 10 years?

Correct A. 25 Bq

B. 50 Bq

C. 100 Bq

D. 200 Bq

Correct Answer: A

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Question 23

A particle of mass m is moving in a circular path of radius r with a cons\tant speed v. What is the magnitude of the force acting on the particle?

A. \frac{mv}{r}

Correct B. \frac{mv^2}{r}

C. \frac{mv^3}{r}

D. \frac{mv^4}{r}

Correct Answer: B

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Question 24

A gas is heated from 100°C to 200°C. If the initial volume is 10 L, what is the final volume?

A. 5 L

B. 10 L

Correct C. 20 L

D. 40 L

Correct Answer: C

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Question 25

A photon of energy 2 eV is incident on a metal surface. If the work function of the metal is 1 eV, what is the maximum kinetic energy of the emitted electron?

A. 0 eV

B. 1 eV

Correct C. 2 eV

D. 3 eV

Correct Answer: C

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