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POST UTME VERITAS UNIVERSITY 2018 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 2018 Physics (Objective) questions designed to simulate the real exam environment.

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Question 1

A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the dielectric cons\tant of the material between the plates is 3, what is the capaci\tance?

A. 1.6 x 10^-10 F

B. 3.2 x 10^-10 F

Correct C. 6.4 x 10^-10 F

D. 12.8 x 10^-10 F

Correct Answer: C

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Question 2

A particle of mass 2 kg is moving in a circular path of radius 3 m with a speed of 4 m/s. What is the centripetal acceleration?

A. 0.5 m/s^2

B. 1.0 m/s^2

Correct C. 2.0 m/s^2

D. 4.0 m/s^2

Correct Answer: C

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Question 3

A ray of light 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°

Correct B. 30°

C. 40°

D. 50°

Correct Answer: B

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Question 4

A spring has a force cons\tant of 100 N/m. If a 2 kg mass is attached to it, what is the extension?

A. 0.2 m

Correct B. 0.4 m

C. 0.6 m

D. 0.8 m

Correct Answer: B

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Question 5

A projectile is launched at an angle of 45° with an initial velocity of 20 m/s. What is the maximum height?

A. 10 m

B. 20 m

Correct C. 30 m

D. 40 m

Correct Answer: C

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Question 6

A particle of mass 0.5 kg is moving in a circular path of radius 2 m with a cons\tant speed of 4 m/s. If the particle is subjected to a centripetal force of 10 N, what is the magnitude of the force?

A. 5 N

Correct B. 10 N

C. 15 N

D. 20 N

Correct Answer: B

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Question 7

A block of mass 2 kg is placed on a frictionless surface and attached to a horizontal spring with a force cons\tant of 100 N/m. If 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 m/s

Correct C. 1.5 m/s

D. 2 m/s

Correct Answer: C

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Question 8

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 doubled, what is the new capaci\tance?

A. 5 μF

B. 10 μF

C. 20 μF

Correct D. 40 μF

Correct Answer: D

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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?

A. 20°

B. 30°

Correct C. 40°

D. 50°

Correct Answer: C

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Question 10

A convex lens has a focal length of 10 cm and is used to form an image of an object placed 20 cm in front of it. What is the magnification of the lens?

Correct A. 0.5

B. 1

C. 2

D. 3

Correct Answer: A

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Question 11

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 12

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°

Correct B. 25°

C. 30°

D. 35°

Correct Answer: B

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Question 13

A 100 V, 50 Hz AC supply is connected to a 50 Ω resistor. What is the rms value of the current flowing through the resistor?

A. 0.5 A

Correct B. 1 A

C. 1.5 A

D. 2 A

Correct Answer: B

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Question 14

A magnetic field of 0.5 T is directed perp\endicular to a current of 2 A. What is the magnitude of the force on a 0.1 m long wire?

A. 0.1 N

Correct B. 0.2 N

C. 0.3 N

D. 0.4 N

Correct Answer: B

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Question 15

A 1000 Hz AC supply is connected to a 10 μF capacitor. What is the reac\tance of the capacitor?

A. 10 Ω

B. 20 Ω

Correct C. 50 Ω

D. 100 Ω

Correct Answer: C

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Question 16

A gas is enclosed in a container of volume 2.5 m³ at a temperature of 300 K. If the gas is heated to a temperature of 400 K, what is the new volume of the gas, assuming the pressure remains cons\tant?

Correct A. 3.75 m³

B. 4.5 m³

C. 5.25 m³

D. 6.0 m³

Correct Answer: A

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Question 17

A 100 Ω resistor is connected in series with a 20 μF capacitor and a 50 mH inductor. If the frequency of the alternating current is 50 Hz, what is the impedance of the circuit?

A. 120 Ω

B. 140 Ω

Correct C. 160 Ω

D. 180 Ω

Correct Answer: C

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Question 18

A radioactive sample has a half-life of 10 years. If the initial activity of the sample is 100 Bq, what is the activity of the sample after 20 years?

Correct A. 12.5 Bq

B. 25 Bq

C. 50 Bq

D. 100 Bq

Correct Answer: A

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Question 19

A particle of mass 2 kg is moving in a circular path with a radius of 3 m. If the particle has a speed of 4 m/s, what is the centripetal force acting on the particle?

Correct A. 24 N

B. 48 N

C. 96 N

D. 192 N

Correct Answer: A

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Question 20

A simple harmonic motion has a frequency of 2 Hz and an amplitude of 5 m. If the initial phase angle is 30°, what is the equation of motion for the particle?

Correct A. x(t) = 5 \cdot \sin$ 4 \pi t + \frac{\pi}{6} $

B. x(t) = 5 \cdot \sin$ 4 \pi t - \frac{\pi}{6} $

C. x(t) = 5 \cdot \cos$ 4 \pi t + \frac{\pi}{6} $

D. x(t) = 5 \cdot \cos$ 4 \pi t - \frac{\pi}{6} $

Correct Answer: A

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Question 21

A particle of mass $m$ is moving in a circular orbit of radius $r$ under the influence of a central force given by $F(r) = \frac{k}{r^2}$. If the particle's speed is $v$, what is its angular momentum?

A. \frac{mv}{k}

B. \frac{mv^2}{k}

Correct C. \frac{mv^2r}{k}

D. \frac{mv^3}{k}

Correct Answer: C

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Question 22

A nucleus of mass number $A$ and atomic number $Z$ undergoes \beta decay. What is the resulting nucleus's mass number?

A. A

Correct B. A-1

C. A+1

D. A-2

Correct Answer: B

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Question 23

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. What is the current through the 4 Ω resistor?

Correct A. 0.6 A

B. 0.8 A

C. 1.2 A

D. 1.6 A

Correct Answer: A

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Question 24

A force of 20 N acts on an object, cau\sing it to accelerate at 2 m/s^2. What is the object's mass?

A. 5 kg

Correct B. 10 kg

C. 20 kg

D. 50 kg

Correct Answer: B

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Question 25

A heat engine operates between a high-temperature reservoir at 500 K and a low-temperature reservoir at 300 K. If the engine's efficiency is 30%, what is its maximum possible work output?

A. 450 J

Correct B. 900 J

C. 1500 J

D. 2250 J

Correct Answer: B

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