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POST UTME GREENFIELD UNIVERSITY 2019 Physics | Objective

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Question 1 View Details

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 2 View Details

A capacitor of capaci\tance 2 μF is connected in series with a resistor of resis\tance 4 Ω. If a voltage of 12 V is applied across the circuit, what is the current flowing through the circuit?

A. 0.5 A

Correct B. 1 A

C. 2 A

D. 3 A

Correct Answer: B

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Question 3 View Details

A wave of frequency 100 Hz and wavelength 2 m is traveling in a medium with a speed of 300 m/s. What is the amplitude of the wave?

A. 0.1 m

B. 0.2 m

Correct C. 0.3 m

D. 0.4 m

Correct Answer: C

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Question 4 View Details

A body of mass 5 kg is moving in a straight line with a velocity of 10 m/s. If the body 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 5 View Details

A capacitor of capaci\tance 4 μF is connected in parallel with a resistor of resis\tance 8 Ω. If a voltage of 16 V is applied across the circuit, what is the current flowing through the circuit?

A. 2 A

Correct B. 4 A

C. 6 A

D. 8 A

Correct Answer: B

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Question 6 View Details

A parallel plate capacitor has plates of area $A$ and separation $d$. The capaci\tance is given by $C = \frac{epsilon_0 A}{d}$. If the area is doubled and the separation is halved, what is the new capaci\tance?

A. $ C' = \frac{\epsilon_0 A}{d} $

B. $ C' = 2 \frac{\epsilon_0 A}{d} $

Correct C. $ C' = 4 \frac{\epsilon_0 A}{d} $

D. $ C' = \frac{\epsilon_0 2A}{d} $

Correct Answer: C

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Question 7 View Details

A light ray passes through a prism of angle $A$ and is re\fracted at an angle $B$. The angle of deviation is $D$. If the angle of incidence is $i$, what is the angle of emergence?

A. $ e = i - B $

Correct B. $ e = i + B $

C. $ e = i - A $

D. $ e = i + A $

Correct Answer: B

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Question 8 View Details

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 is subject to a uniform gravitational field of acceleration $g$, what is the time of flight?

A. $ t = \frac{v_0 \sin \theta}{g} $

B. $ t = \frac{2 v_0 \cos \theta}{g} $

C. $ t = \frac{v_0 \cos \theta}{g} $

Correct D. $ t = \frac{2 v_0 \sin \theta}{g} $

Correct Answer: D

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Question 9 View Details

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

A. $ Z = R $

B. $ Z = L $

C. $ Z = C $

Correct D. $ Z = \sqrt{R^2 + \( X_L - X_C $^2} \)

Correct Answer: D

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Question 10 View Details

A light ray passes through a lens of focal length $f$ and is re\fracted at an angle $\theta$. If the angle of incidence is $i$, what is the angle of emergence?

A. $ e = i - \theta $

Correct B. $ e = i + \theta $

C. $ e = i - 2 \theta $

D. $ e = i + 2 \theta $

Correct Answer: B

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Question 11 View Details

A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. The capacitor is connected to a 12 V battery. Calculate the capaci\tance of the capacitor.

A. 0.02 F

Correct B. 0.04 F

C. 0.06 F

D. 0.08 F

Correct Answer: B

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Question 12 View Details

A thermodynamic system undergoes a process from state A to state B. The initial temperature is 300 K and the final temperature is 400 K. The change in entropy is 100 J/K. Calculate the heat transfer during the process.

A. 4000 J

B. 5000 J

Correct C. 6000 J

D. 7000 J

Correct Answer: C

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Question 13 View Details

A convex lens of focal length 20 cm is placed in front of a screen. An object is placed 30 cm in front of the lens. Calculate the position of the image formed by the lens.

A. 40 cm

B. 50 cm

Correct C. 60 cm

D. 70 cm

Correct Answer: C

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Question 14 View Details

A vector has a magnitude of 5 m and makes an angle of 30° with the positive x-axis. Calculate the x and y components of the vector.

Correct A. x = 4 m, y = 2.5 m

B. x = 3 m, y = 4 m

C. x = 2 m, y = 5 m

D. x = 1 m, y = 6 m

Correct Answer: A

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Question 15 View Details

A body is at rest on a horizontal surface. A force of 10 N is applied to the body in the horizontal direction. Calculate the acceleration of the body.

A. 1 m/s^2

Correct B. 2 m/s^2

C. 3 m/s^2

D. 4 m/s^2

Correct Answer: B

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Question 16 View Details

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. 8 N

Correct B. 12 N

C. 16 N

D. 24 N

Correct Answer: B

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Question 17 View Details

A capacitor consists of two parallel plates, each of area 0.01 m^2, separated by a dis\tance of 0.001 m. If the capaci\tance is 10^-6 F, what is the charge stored when a potential difference of 100 V is applied?

Correct A. 10^-5 C

B. 10^-4 C

C. 10^-3 C

D. 10^-2 C

Correct Answer: A

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Question 18 View Details

A simple harmonic motion has a maximum displacement of 2 m and a period of 4 s. What is the angular frequency?

A. 0.5 rad/s

B. 1 rad/s

Correct C. 2 rad/s

D. 4 rad/s

Correct Answer: C

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Question 19 View Details

A projectile is launched at an angle of 60° to the horizontal with an initial velocity of 20 m/s. If the air resis\tance is negligible, what is the maximum height reached by the projectile?

A. 10 m

Correct B. 15 m

C. 20 m

D. 25 m

Correct Answer: B

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Question 20 View Details

A quantum particle has a wave function given by \psi(x) = Ae^{-\alpha x^2}. If the probability of finding the particle in the region x = 0 to x = 1 is 0.5, what is the value of \alpha?

A. 0.1

Correct B. 0.5

C. 1

D. 5

Correct Answer: B

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Question 21 View Details

A 1000 μF capacitor is connected in series with a 2000 μF capacitor across a 10 V DC source. Calculate the equivalent capaci\tance and the charge stored on the capacitors.

A. 2500 μF

B. 2000 μF

Correct C. 1500 μF

D. 1000 μF

Correct Answer: C

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Question 22 View Details

A body is moving in a straight line with a velocity of 5 m/s. If the acceleration is 2 m/s^2, calculate the dis\tance traveled in 10 seconds.

A. 25 m

Correct B. 30 m

C. 35 m

D. 40 m

Correct Answer: B

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Question 23 View Details

A 2 kg block is 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, calculate the maximum velocity of the block.

A. 1 m/s

B. 1.5 m/s

Correct C. 2 m/s

D. 2.5 m/s

Correct Answer: C

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Question 24 View Details

A 100 W bulb is connected to a 220 V AC supply. If the bulb is rated for 1000 hours, calculate the total energy consumed by the bulb.

A. 220 kWh

Correct B. 250 kWh

C. 280 kWh

D. 300 kWh

Correct Answer: B

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Question 25 View Details

A body is moving in a circular path with a radius of 2 m. If the body is moving with a speed of 4 m/s, calculate the 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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