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POST UTME WELLSPRING UNIVERSITY 2017 Physics | Objective

Are you preparing for POST UTME WELLSPRING 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 parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the capaci\tance is 2.5 x 10^-10 F, what is the value of the dielectric cons\tant?

A. 1.25

Correct B. 2.5

C. 5.0

D. 10.0

Correct Answer: B

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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 magnitude of the centripetal acceleration?

A. 4 m/s^2

B. 8 m/s^2

Correct C. 12 m/s^2

D. 16 m/s^2

Correct Answer: C

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Question 3

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

A. 8 Ω

B. 10 Ω

Correct C. 12 Ω

D. 16 Ω

Correct Answer: C

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Question 4

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. 25 Bq

Correct B. 50 Bq

C. 75 Bq

D. 100 Bq

Correct Answer: B

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Question 5

A photon has an energy of 2.5 eV. What is its wavelength?

A. 500 nm

Correct B. 1000 nm

C. 1500 nm

D. 2000 nm

Correct Answer: B

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Question 6

A 2.5 m long wire has a resis\tance of 3.2 Ω. Calculate the resistivity of the wire u\sing the formula ρ = R * A / l, where A is the cross-sectional area of the wire.

Correct A. 1.28 × 10^$ -8 $ Ωm

B. 1.28 × 10^$ -7 $ Ωm

C. 1.28 × 10^$ -6 $ Ωm

D. 1.28 × 10^$ -5 $ Ωm

Correct Answer: A

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Question 7

A 100 μF capacitor is connected in series with a 200 Ω resistor and a 5 V battery. Calculate the time cons\tant of the circuit.

Correct A. 0.1 s

B. 1 s

C. 10 s

D. 100 s

Correct Answer: A

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Question 8

A sound wave with a frequency of 200 Hz has a wavelength of 1.5 m. Calculate the speed of the sound wave.

A. 300 m/s

Correct B. 600 m/s

C. 1200 m/s

D. 2400 m/s

Correct Answer: B

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Question 9

A 10 kg block is attached to a horizontal spring with a spring cons\tant of 100 N/m. Calculate the frequency of the block's oscillations.

A. 0.5 Hz

Correct B. 1 Hz

C. 2 Hz

D. 5 Hz

Correct Answer: B

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Question 10

A 5 μF capacitor is connected in parallel with a 10 μF capacitor. Calculate the equivalent capaci\tance of the circuit.

A. 5 μF

B. 10 μF

Correct C. 15 μF

D. 20 μF

Correct Answer: C

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Question 11

A 2 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. The block is displaced by 0.2 m from its equilibrium position and released from rest. Assuming the block undergoes simple harmonic motion, calculate the maximum speed of the block as it passes through the equilibrium position.

A. 2 m/s

Correct B. 4 m/s

C. 6 m/s

D. 8 m/s

Correct Answer: B

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Question 12

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. Assuming the only force acting on the projectile is gravity, calculate the time of flight.

A. 2 s

B. 4 s

Correct C. 6 s

D. 8 s

Correct Answer: C

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Question 13

A 10 Ω resistor is connected in series with a 20 Ω resistor and a 30 Ω resistor. If a 12 V battery is connected across the circuit, calculate the current flowing through the 20 Ω resistor.

A. 0.2 A

B. 0.4 A

Correct C. 0.6 A

D. 0.8 A

Correct Answer: C

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Question 14

A heat engine operates between two temperatures, 500 K and 300 K. If the engine produces 100 J of work per cycle, calculate the efficiency of the engine.

A. 0.2

B. 0.3

Correct C. 0.4

D. 0.5

Correct Answer: C

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Question 15

A 5 kg block is moving at a speed of 10 m/s on a frictionless surface. If a force of 20 N is applied to the block, calculate the acceleration of the block.

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 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 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 17

A wave has a frequency of 50 Hz and a wavelength of 0.5 m. What is the speed of the wave?

A. 10 m/s

B. 25 m/s

Correct C. 50 m/s

D. 100 m/s

Correct Answer: C

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Question 18

A block of mass 5 kg is placed on a frictionless surface and a horizontal force of 20 N is applied to it. What is the acceleration of the block?

A. 2 m/s^2

Correct B. 4 m/s^2

C. 6 m/s^2

D. 8 m/s^2

Correct Answer: B

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Question 19

A string is stretched between two fixed points 2 m apart. If the string is plucked and the resulting wave has a frequency of 100 Hz, what is the speed of the wave?

A. 20 m/s

B. 40 m/s

Correct C. 60 m/s

D. 80 m/s

Correct Answer: C

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Question 20

A gas is heated from 20°C to 50°C. If the initial volume is 2 m^3 and the final volume is 4 m^3, what is the change in temperature?

A. 10°C

Correct B. 20°C

C. 30°C

D. 40°C

Correct Answer: B

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Question 21

A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. If the particle is subjected to a centripetal force $F_c = \frac{mv^2}{r}$, what is the work done by this force as the particle moves through an angle $\theta$?

Correct A. $ W = \frac{1}{2}mv^2\( 1 - \cos\theta \ $ )

B. $ W = \frac{1}{2}mv^2\( 1 + \cos\theta \ $ )

C. $ W = mv^2\sin\theta $

D. $ W = mv^2\cos\theta $

Correct Answer: A

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Question 22

A parallel plate capacitor has a capaci\tance of $C = 2 \times 10^{-6} \text{ F}$ and is charged to a potential difference of $V = 10 \text{ V}$. If the plates are separated by a dis\tance of $d = 0.1 \text{ m}$, what is the energy stored in the capacitor?

Correct A. $ U = \frac{1}{2}CV^2 $

B. $ U = \frac{1}{2}CV $

C. $ U = \frac{1}{2}CV^2d $

D. $ U = \frac{1}{2}CV^2d^2 $

Correct Answer: A

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Question 23

A radioactive sample has an initial activity of $A_0 = 100 \text{ Bq}$. If the half-life of the sample is $t_{1/2} = 10 \text{ min}$, what is the activity of the sample after $t = 20 \text{ min}$?

A. $ A = 50 \text{ Bq} $

Correct B. $ A = 25 \text{ Bq} $

C. $ A = 12.5 \text{ Bq} $

D. $ A = 6.25 \text{ Bq} $

Correct Answer: B

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Question 24

A circuit consists of a resistor $R = 10 \text{ }Omega$, an inductor $L = 5 \text{ H}$, and a capacitor $C = 2 \times 10^{-6} \text{ F}$. If the circuit is driven by a \sinusoidal voltage source with a frequency of $f = 50 \text{ Hz}$, what is the impedance of the circuit?

A. $ Z = 10 \text{ }Omega $

B. $ Z = 15 \text{ }Omega $

Correct C. $ Z = 20 \text{ }Omega $

D. $ Z = 25 \text{ }Omega $

Correct Answer: C

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Question 25

A ray of light passes through a prism with an angle of incidence of $i = 30^circ$. If the angle of re\fraction is $r = 20^circ$, what is the angle of deviation?

A. $ delta = 10^circ $

Correct B. $ delta = 20^circ $

C. $ delta = 30^circ $

D. $ delta = 40^circ $

Correct Answer: B

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