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POST UTME NILE UNIVERSITY 2018 Physics | Objective

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Question 1

A parallel plate capacitor has plates of area $A$ and separation $d$. If the capaci\tance is $C$, what is the value of the dielectric cons\tant $K$?

Correct A. \frac{Cd}{\epsilon_0A}

B. \frac{\epsilon_0A}{Cd}

C. \frac{Cd}{\epsilon_0A}

D. \frac{\epsilon_0A}{Cd}

Correct Answer: A

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Question 2

A particle of mass $m$ is projected from the origin with an initial velocity $v_0$ at an angle $\theta$ to the horizontal. If the particle experiences a uniform gravitational field of strength $g$, what is the time taken for the particle to reach its maximum height?

Correct A. \frac{v_0\sin\theta}{g}

B. \frac{v_0\cos\theta}{g}

C. \frac{v_0\sin\theta}{g}

D. \frac{v_0\cos\theta}{g}

Correct Answer: A

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Question 3

A circuit consists of a resistor of resis\tance $R$ and an inductor of induc\tance $L$ connected in series. If the circuit is driven by a \sinusoidal voltage source of amplitude $V_0$ and frequency $f$, what is the impedance of the circuit?

A. \sqrt{R^2 + $ 2\pi fL $^2}

B. \frac{R}{2\pi fL}

Correct C. \sqrt{R^2 + $ 2\pi fL $^2}

D. \frac{2\pi fL}{R}

Correct Answer: C

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Question 4

A ray of light passes from air into a glass slab of re\fractive index $\mu$ at an angle of incidence $\theta_i$. If the angle of re\fraction is $\theta_r$, what is the value of the angle of incidence $\theta_i$?

A. \sin^{-1}\left$ \frac{\sin\theta_r}{\mu}\right $

Correct B. \sin^{-1}\left$ \frac{\sin\theta_i}{\mu}\right $

C. \sin^{-1}\left$ \frac{\sin\theta_r}{\mu}\right $

D. \sin^{-1}\left$ \frac{\sin\theta_i}{\mu}\right $

Correct Answer: B

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Question 5

A current of $I$ flows through a wire of resis\tance $R$. If the wire is heated for a time $t$, what is the energy dissipated?

A. I^2Rt

B. \frac{I^2Rt}{2}

Correct C. I^2Rt

D. \frac{I^2Rt}{2}

Correct Answer: C

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Question 6

A nucleus with mass number 240 and atomic number 94 undergoes \alpha decay. What is the mass number of the daughter nucleus?

Correct A. 238

B. 240

C. 242

D. 244

Correct Answer: A

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Question 7

A beam 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?

Correct A. 20°

B. 30°

C. 40°

D. 50°

Correct Answer: A

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Question 8

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 magnitude of the centripetal 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 9

A capacitor consists of two parallel plates, each of area 0.1 m^2, separated by a dis\tance of 0.01 m. The capaci\tance of the capacitor is 10^-6 F. What is the charge stored on the capacitor when a potential difference of 10 V is applied?

Correct A. 10^-5 C

B. 10^-6 C

C. 10^-7 C

D. 10^-8 C

Correct Answer: A

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Question 10

A lens of focal length 20 cm is used to form an image of an object placed 30 cm from the lens. What is the magnification of the image?

A. -1

Correct B. -2

C. -3

D. -4

Correct Answer: B

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Question 11

A 2.5 mH inductor is connected in series with a 220 Ω resistor and a 12 V battery. If the initial current is 0 A, find the current after 0.1 s.

A. 0.5 A

B. 1.2 A

Correct C. 2.5 A

D. 3.8 A

Correct Answer: C

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Question 12

A sound wave with a frequency of 200 Hz and a speed of 340 m/s is traveling through a medium. If the wavelength is 1.7 m, find the amplitude of the wave.

Correct A. 0.01 m

B. 0.1 m

C. 0.5 m

D. 1 m

Correct Answer: A

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Question 13

A gas is heated from 300 K to 400 K at cons\tant volume. If the initial pressure is 1 atm, find the final pressure.

A. 1.33 atm

Correct B. 1.67 atm

C. 2 atm

D. 2.5 atm

Correct Answer: B

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Question 14

A 10 kg block is attached to a spring with a spring cons\tant of 100 N/m. If the block is displaced by 0.2 m from its equilibrium position, find the force exerted by the spring.

A. -20 N

B. -40 N

Correct C. -60 N

D. -80 N

Correct Answer: C

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Question 15

A 50 Hz AC voltage is applied to a circuit with a resis\tance of 10 Ω and an inductive reac\tance of 20 Ω. If the initial current is 0 A, find the current after 0.05 s.

A. 0.5 A

Correct B. 1.2 A

C. 2.5 A

D. 3.8 A

Correct Answer: B

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Question 16

A parallel plate capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 20 V. If a dielectric slab of thickness 2 mm and dielectric cons\tant 3 is inserted between the plates, what is the new capaci\tance?

A. 30 μF

B. 40 μF

Correct C. 50 μF

D. 60 μF

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 gas is heated from 300 K to 400 K at cons\tant volume. What is the ratio of the final pressure to the initial pressure?

A. 1.33

B. 1.5

Correct C. 1.67

D. 2

Correct Answer: C

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Question 19

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

A. 10°

Correct B. 15°

C. 20°

D. 25°

Correct Answer: B

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Question 20

A block of mass 5 kg is attached to a horizontal spring with a force cons\tant of 100 N/m. If the block is displaced by 2 m from its equilibrium position and released, what is the maximum speed of the block?

A. 10 m/s

B. 20 m/s

Correct C. 30 m/s

D. 40 m/s

Correct Answer: C

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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 acceleration of 2 m/s^2, what is the magnitude of the force acting on the particle?

A. 8 N

B. 10 N

Correct C. 12 N

D. 16 N

Correct Answer: C

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Question 22

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. 25°

C. 30°

D. 35°

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 flowing through the circuit?

A. 1.5 A

Correct B. 2 A

C. 2.5 A

D. 3 A

Correct Answer: B

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Question 24

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 of the body?

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 25

A light source is placed 2 m away from a convex lens of focal length 1 m. If the light source is moved 1 m closer to the lens, what is the new image dis\tance?

A. 1 m

B. 2 m

Correct C. 3 m

D. 4 m

Correct Answer: C

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