Practice post utme crawford university physics 2018 Past Questions

Question 1

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/s², what is the magnitude of the force acting on the particle?

A. 10 N

Correct B. 12 N

C. 15 N

D. 18 N

Correct Answer: B

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Question 2

A capacitor consists of two parallel plates, each of area 0.04 m², separated by a dis\tance of 0.02 m. If the capaci\tance of the capacitor is 8 µF, what is the charge stored on the capacitor when a potential difference of 12 V is applied across it?

A. 96 µC

Correct B. 192 µC

C. 288 µC

D. 384 µC

Correct Answer: B

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Question 3

A heat engine operates between the temperatures 300 K and 400 K. If the engine absorbs 100 J of heat energy from the high-temperature reservoir, what is the efficiency of the engine?

A. 0.25

B. 0.30

Correct C. 0.35

D. 0.40

Correct Answer: C

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Question 4

A vector µ has a magnitude of 5 m and makes an angle of 30° with the positive x-axis. If a vector ¶ has a magnitude of 3 m and makes an angle of 60° with the positive x-axis, what is the magnitude of the resul\tant vector µ + ¶?

A. 4 m

B. 5 m

Correct C. 6 m

D. 7 m

Correct Answer: C

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Question 5

A 50-Hz AC generator produces a \sinusoidal voltage of 120 V. If the generator is connected to a 10-µF capacitor, what is the impedance of the circuit?

A. 12 µF

B. 15 µF

Correct C. 18 µF

D. 20 µF

Correct Answer: C

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Question 6

A gas at $25^circ$C and $1.0 \times 10^5$ Pa expands to occupy a volume of $2.5 , \text{m}^3$. Calculate the number of moles of gas present, given that the gas cons\tant $R = 8.314 , \text{J} , \text{mol}^{-1} , \text{K}^{-1}$.

A. $1.0 \times 10^{-3}$ mol

Correct B. $2.0 \times 10^{-3}$ mol

C. $3.0 \times 10^{-3}$ mol

D. $4.0 \times 10^{-3}$ mol

Correct Answer: B

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Question 7

A radioactive sample decays with a half-life of $3.0 , \text{days}$. If the initial activity is $100 , \text{Bq}$, calculate the activity after $10 , \text{days}$.

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

Correct B. $75 \, \text{Bq}$

C. $100 \, \text{Bq}$

D. $125 \, \text{Bq}$

Correct Answer: B

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Question 8

A $10 , Omega$ resistor is connected in series with a $5 , Omega$ resistor and a $2 , Omega$ resistor. Calculate the equivalent resis\tance of the circuit.

A. $17 \, \Omega$

B. $20 \, \Omega$

C. $22 \, \Omega$

Correct D. $25 \, \Omega$

Correct Answer: D

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Question 9

A particle of mass $2 , \text{kg}$ is moving with a velocity of $5 , \text{m} , \text{s}^{-1}$. Calculate the kinetic energy of the particle.

A. $25 \, \text{J}$

B. $50 \, \text{J}$

C. $75 \, \text{J}$

Correct D. $100 \, \text{J}$

Correct Answer: D

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Question 10

A $50 , Omega$ resistor is connected in parallel with a $20 , Omega$ resistor. Calculate the equivalent resis\tance of the circuit.

A. $20 \, \Omega$

Correct B. $30 \, \Omega$

C. $40 \, \Omega$

D. $50 \, \Omega$

Correct Answer: B

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Question 11

A 5.0 kg block is attached to a horizontal, massless spring with a force cons\tant of 200 N/m. The block is displaced by 0.25 m from its equilibrium position and released from rest. Assuming the block undergoes simple harmonic motion, determine the maximum speed of the block as it passes through the equilibrium position.

A. 2.5 m/s

Correct B. 5.0 m/s

C. 7.5 m/s

D. 10.0 m/s

Correct Answer: B

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Question 12

A 100 W light bulb is connected to a 120 V power source. If the resis\tance of the bulb is 20 Ω, determine the current flowing through the bulb.

A. 2.5 A

Correct B. 3.0 A

C. 4.0 A

D. 5.0 A

Correct Answer: B

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Question 13

A 2.0 kg object is moving in a circular path with a radius of 1.5 m. If the object has a speed of 4.0 m/s, determine the centripetal acceleration of the object.

A. 2.0 m/s^2

B. 4.0 m/s^2

Correct C. 6.0 m/s^2

D. 8.0 m/s^2

Correct Answer: C

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Question 14

A 10.0 g sample of a radioactive subs\tance decays to 5.0 g in 10 days. Determine the half-life of the subs\tance.

A. 5.0 days

Correct B. 10.0 days

C. 15.0 days

D. 20.0 days

Correct Answer: B

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Question 15

A 50.0 g sample of a gas occupies a volume of 2.0 L at a temperature of 300 K. Determine the pressure of the gas.

A. 101.3 kPa

Correct B. 202.6 kPa

C. 303.9 kPa

D. 405.2 kPa

Correct Answer: B

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

A. 10 N

Correct B. 12 N

C. 14 N

D. 16 N

Correct Answer: B

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Question 17

A radioactive sample has a half-life of 5 years. If the initial activity of the sample is 100 Bq, what is the activity of the sample after 10 years?

Correct A. 12.5 Bq

B. 25 Bq

C. 50 Bq

D. 100 Bq

Correct Answer: A

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Question 18

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

Correct B. 10 μF

C. 20 μF

D. 40 μF

Correct Answer: B

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Question 19

A block of mass 5 kg is placed on a frictionless surface and is connected to a spring with a spring 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. 2 m/s

B. 4 m/s

Correct C. 6 m/s

D. 8 m/s

Correct Answer: C

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Question 20

A magnetic field of 0.5 T is directed perp\endicular to a current-carrying wire of length 2 m. If the current in the wire is 5 A, what is the magnitude of the force acting on the wire?

A. 1 N

B. 2 N

Correct C. 3 N

D. 4 N

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 net force acting on the particle?

A. 10 N

B. 12 N

Correct C. 16 N

D. 20 N

Correct Answer: C

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Question 22

A 5 μF capacitor is connected in series with a 10 kΩ resistor. If a 12 V DC source is applied across the circuit, what is the magnitude of the current flowing through the resistor?

A. 0.6 mA

Correct B. 0.8 mA

C. 1.2 mA

D. 1.5 mA

Correct Answer: B

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Question 23

A 100 W light bulb is connected to a 230 V AC power source. If the bulb is rated for 0.5 A, what is the power factor of the circuit?

A. 0.5

Correct B. 0.6

C. 0.7

D. 0.8

Correct Answer: B

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Question 24

A 2 kg block is attached to a horizontal, massless 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. 0.4 m/s

B. 0.6 m/s

Correct C. 0.8 m/s

D. 1.0 m/s

Correct Answer: C

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Question 25

A 10 Ω resistor is connected in parallel with a 20 Ω resistor. If a 12 V DC source is applied across the circuit, what is the magnitude of the current flowing through the 10 Ω resistor?

A. 0.6 A

B. 0.8 A

Correct C. 1.2 A

D. 1.5 A

Correct Answer: C

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