Practice post utme unn physics 2017 Past Questions

Question 1

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 0.2 m from its equilibrium position and released from rest, what is the maximum speed of the particle?

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 2

A circuit consists of a 10 Ω resistor, a 20 Ω resistor, and a 30 Ω resistor connected in series. If a voltage of 12 V is applied across the circuit, what is the current in the circuit?

A. 0.4 A

Correct B. 0.6 A

C. 0.8 A

D. 1 A

Correct Answer: B

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Question 3

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 4

A block of mass 5 kg is attached to a horizontal spring with a spring cons\tant of 200 N/m. If the block is displaced by 0.1 m from its equilibrium position and released from rest, what is the frequency of the oscillations?

A. 0.5 Hz

Correct B. 1 Hz

C. 2 Hz

D. 5 Hz

Correct Answer: B

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Question 5

A parallel plate capacitor has a capaci\tance of 10 μF. If a voltage of 12 V is applied across the capacitor, what is the energy stored in the capacitor?

A. 0.12 J

Correct B. 0.24 J

C. 0.36 J

D. 0.48 J

Correct Answer: B

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Question 6

A beam of light passes from air into a glass slab of thickness 6 cm and re\fractive index 1.5. If the angle of incidence is 30°, calculate the angle of re\fraction.

A. 20°

Correct B. 25°

C. 30°

D. 35°

Correct Answer: B

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Question 7

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. Calculate the magnitude of the force acting on the particle.

A. 10 N

B. 12 N

Correct C. 15 N

D. 18 N

Correct Answer: C

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Question 8

A gas occupies a volume of 2.5 L at a pressure of 1.2 atm. If the pressure is increased to 2.5 atm, calculate the new volume of the gas.

A. 1.25 L

Correct B. 1.5 L

C. 1.75 L

D. 2.0 L

Correct Answer: B

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Question 9

A light source is placed 2 m away from a convex lens of focal length 0.5 m. If the object is moved 0.5 m closer to the lens, calculate the new image dis\tance.

A. 1.5 m

Correct B. 1.75 m

C. 2.0 m

D. 2.25 m

Correct Answer: B

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Question 10

A particle of mass 1 kg is moving in a circular path of radius 2 m with a cons\tant speed of 3 m/s. If the particle is subjected to a force of 5 N, calculate the angle between the force and the radius vector.

A. 30°

B. 45°

Correct C. 60°

D. 75°

Correct Answer: C

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Question 11

A gas is enclosed in a container with a movable piston. The gas is heated at cons\tant pressure, cau\sing its volume to increase. Which of the following statements is true about the process?

A. The temperature of the gas increases.

Correct B. The internal energy of the gas increases.

C. The entropy of the gas decreases.

D. The gas expands against the external pressure.

Correct Answer: B

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Question 12

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 4 Ω resistor?

A. 0.5 A

Correct B. 1 A

C. 1.5 A

D. 2 A

Correct Answer: B

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Question 13

A block of mass 2 kg is attached to a spring with a spring cons\tant of 100 N/m. 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. 0.2 m/s

B. 0.4 m/s

Correct C. 0.6 m/s

D. 0.8 m/s

Correct Answer: C

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Question 14

A parallel plate capacitor consists of two plates, each of area 0.01 m^2, separated by a dis\tance of 0.001 m. The capaci\tance of the capacitor is 10 nF. What is the charge on the capacitor when a potential difference of 10 V is applied across it?

Correct A. 0.1 C

B. 0.2 C

C. 0.3 C

D. 0.4 C

Correct Answer: A

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Question 15

A photon has an energy of 2 eV. What is its wavelength?

A. 1.24 μm

Correct B. 2.48 μm

C. 3.72 μm

D. 4.96 μm

Correct Answer: B

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Question 16

A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. The particle is subject to a centripetal force $F_c$ given by $F_c = \frac{mv^2}{r}$. If the particle's speed is doubled, what is the new centripetal force $F_{c,new}$?

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

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

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

D. \frac{mv^2}{4r}

Correct Answer: A

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Question 17

A block of mass $m$ is placed on a frictionless surface and attached to a horizontal spring with spring cons\tant $k$. The block is displaced by a dis\tance $x$ from its equilibrium position and released from rest. Assuming the block undergoes simple harmonic motion, what is the maximum speed $v_{max}$ of the block?

Correct A. \frac{\sqrt{k}x}{\sqrt{m}}

B. \frac{\sqrt{m}x}{\sqrt{k}}

C. \frac{\sqrt{k}x}{m}

D. \frac{\sqrt{m}x}{k}

Correct Answer: A

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Question 18

A gas is contained in a cylinder of volume $V$ with a movable piston. The gas is heated, cau\sing its temperature to increase from $T_1$ to $T_2$. Assuming the gas is ideal and the process is isothermal, what is the new pressure $P_2$ of the gas?

Correct A. \frac{P_1V}{T_1}

B. \frac{P_1V}{T_2}

C. \frac{P_2V}{T_1}

D. \frac{P_2V}{T_2}

Correct Answer: A

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Question 19

A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. The particle is subject to a centripetal force $F_c$ given by $F_c = \frac{mv^2}{r}$. If the particle's speed is doubled, what is the new centripetal force $F_{c,new}$?

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

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

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

D. \frac{mv^2}{4r}

Correct Answer: A

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Question 20

A block of mass $m$ is placed on a frictionless surface and attached to a horizontal spring with spring cons\tant $k$. The block is displaced by a dis\tance $x$ from its equilibrium position and released from rest. Assuming the block undergoes simple harmonic motion, what is the maximum speed $v_{max}$ of the block?

Correct A. \frac{\sqrt{k}x}{\sqrt{m}}

B. \frac{\sqrt{m}x}{\sqrt{k}}

C. \frac{\sqrt{k}x}{m}

D. \frac{\sqrt{m}x}{k}

Correct Answer: A

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