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POST UTME VERITAS UNIVERSITY 2017 Physics | Objective

Are you preparing for POST UTME VERITAS UNIVERSITY exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2017 Physics (Objective) questions designed to simulate the real exam environment.

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Question 1

A 2.5 mH inductor is connected in series with a 10 Ω resistor and a 20 V AC source. If the frequency of the source is 50 Hz, what is the impedance of the circuit?

A. 10 Ω

B. 20 Ω

Correct C. 30 Ω

D. 40 Ω

Correct Answer: C

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Question 2

A gas at 300 K and 1 atm expands from 1 L to 2 L. What is the work done by the gas?

A. 100 J

Correct B. 200 J

C. 300 J

D. 400 J

Correct Answer: B

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Question 3

A particle of mass 2 kg is attached to a spring with a spring cons\tant of 100 N/m. If the particle is displaced by 0.5 m from its equilibrium position and released from rest, what is its angular frequency?

A. 1 rad/s

B. 2 rad/s

Correct C. 3 rad/s

D. 4 rad/s

Correct Answer: C

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Question 4

A 10 kg block is moving on a frictionless surface with an initial velocity of 5 m/s. If a force of 20 N is applied to the block for 2 s, what is its final velocity?

A. 10 m/s

B. 15 m/s

Correct C. 20 m/s

D. 25 m/s

Correct Answer: C

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Question 5

A 5 kg object is moving in a circular path with a radius of 2 m. If it has a speed of 4 m/s, what is its centripetal acceleration?

A. 2 m/s^2

B. 4 m/s^2

Correct C. 6 m/s^2

D. 8 m/s^2

Correct Answer: C

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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. If the particle is subjected to a centripetal force of 12 N, what is the magnitude of the acceleration of the particle?

A. 8 m/s^2

Correct B. 12 m/s^2

C. 16 m/s^2

D. 20 m/s^2

Correct Answer: B

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Question 7

A heat engine operates between two reservoirs at temperatures 500 K and 300 K. If the engine absorbs 1000 J of heat from the high-temperature reservoir, what is the efficiency of the engine?

A. 0.25

B. 0.33

Correct C. 0.40

D. 0.50

Correct Answer: C

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Question 8

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. If the projectile lands 10 m away from the launch point, what is the time of flight?

A. 1.0 s

B. 1.5 s

Correct C. 2.0 s

D. 2.5 s

Correct Answer: C

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Question 9

A photon of energy 2 eV is incident on a metal surface with a work function of 1.5 eV. If the photon is absorbed by the metal, what is the maximum kinetic energy of the emitted electron?

A. 0.5 eV

Correct B. 1.0 eV

C. 1.5 eV

D. 2.0 eV

Correct Answer: B

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Question 10

A lens of focal length 10 cm is used to form an image of an object at a dis\tance of 20 cm. If the object is moved to a dis\tance of 30 cm, what is the new image dis\tance?

A. -10 cm

B. -20 cm

Correct C. -30 cm

D. -40 cm

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 magnetic field is produced by a current-carrying wire. The wire is oriented at an angle of $\theta$ to the magnetic field. Find the component of the magnetic field perp\endicular to the wire.

Correct A. B \cos \theta

B. B \sin \theta

C. B \tan \theta

D. B \csc \theta

Correct Answer: A

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Question 13

A block of mass $m$ is moving with an initial velocity $v_0$ on a frictionless surface. The block collides with a stationary block of mass $M$. Assuming the collision is elastic, find the velocity of the moving block after the collision.

Correct A. \frac{2m}{m+M} v_0

B. \frac{m}{m+M} v_0

C. \frac{M}{m+M} v_0

D. v_0

Correct Answer: A

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Question 14

A particle of mass $m$ is moving in a circular orbit of radius $r$ with a speed $v$. Find the centripetal acceleration of the particle.

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

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

C. \frac{m}{r}

D. \frac{r}{m}

Correct Answer: A

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Question 15

A photon of energy $E$ is incident on a surface. Find the momentum of the photon.

Correct A. \frac{E}{c}

B. \frac{c}{E}

C. \frac{E}{m}

D. \frac{m}{E}

Correct Answer: A

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Question 16

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 force?

A. 10 N

Correct B. 12 N

C. 15 N

D. 20 N

Correct Answer: B

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Question 17

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

A. 20°

B. 25°

Correct C. 30°

D. 35°

Correct Answer: C

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Question 18

A 100 V AC supply is connected to a 20 Ω resistor. If the current is 5 A, what is the power consumed?

A. 250 W

Correct B. 500 W

C. 750 W

D. 1000 W

Correct Answer: B

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Question 19

A body of mass 5 kg is moving with a velocity of 10 m/s. If it is subjected to a force of 20 N, what is the acceleration?

A. 2 m/s²

B. 4 m/s²

Correct C. 6 m/s²

D. 8 m/s²

Correct Answer: C

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Question 20

A light ray passes through a prism of angle 30°. If the angle of incidence is 20°, what is the angle of re\fraction?

A. 15°

B. 20°

Correct C. 25°

D. 30°

Correct Answer: C

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Question 21

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 $). What is the expectation value of the position of the particle?

Correct A. $ \frac{L}{2} $

B. $ \frac{n\pi L}{2} $

C. $ \frac{n^2\pi^2 L^2}{4} $

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

Correct Answer: A

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Question 22

A sound wave with frequency $f$ and amplitude $A$ is traveling through a medium with speed $v$. What is the wavelength of the sound wave?

Correct A. $ \frac{v}{f} $

B. $ \frac{f}{v} $

C. $ \frac{A}{v} $

D. $ \frac{v}{A} $

Correct Answer: A

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Question 23

A magnetic field is given by $ \vec{B} = \frac{\mu_0}{4\pi} \frac{\vec{r}}{r^3} $. What is the magnetic field at a point on the axis of the dipole?

Correct A. $ \frac{\mu_0}{4\pi} \frac{\vec{r}}{r^3} $

B. $ \frac{\mu_0}{4\pi} \frac{\vec{r}}{r^2} $

C. $ \frac{\mu_0}{4\pi} \frac{\vec{r}}{r} $

D. $ \frac{\mu_0}{4\pi} \frac{\vec{r}}{r^2} $

Correct Answer: A

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Question 24

A gas is contained in a cylinder of volume $V$ with a movable piston. The gas is heated, cau\sing its temperature to rise by $\Delta T$. What is the change in pressure?

Correct A. $ \frac{nR\Delta T}{V} $

B. $ \frac{n\Delta T}{V} $

C. $ \frac{V\Delta T}{nR} $

D. $ \frac{nR}{V\Delta T} $

Correct Answer: A

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Question 25

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

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

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

C. $ \frac{v}{r} $

D. $ \frac{r}{v} $

Correct Answer: A

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