POST UTME ESUT 2024 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. What is the magnitude of the centripetal force acting on the particle?
A. 12 N
Correct B. 16 N
C. 20 N
D. 24 N

Correct Answer: B

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Question 2 View Details
A parallel plate capacitor has a capaci\tance of 5 μF. If a potential difference of 10 V is applied across the plates, what is the charge stored on the capacitor?
Correct A. 50 μC
B. 60 μC
C. 70 μC
D. 80 μC

Correct Answer: A

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Question 3 View Details
A gas occupies a volume of 2 L at a pressure of 1 atm and a temperature of 300 K. What is the volume of the gas at a pressure of 2 atm and a temperature of 400 K?
A. 1 L
B. 2 L
Correct C. 3 L
D. 4 L

Correct Answer: C

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Question 4 View Details
A radioactive sample has an initial activity of 100 Bq. If the half-life of the sample is 5 days, what is the activity of the sample after 10 days?
A. 50 Bq
B. 25 Bq
C. 12.5 Bq
Correct D. 6.25 Bq

Correct Answer: D

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Question 5 View Details
A vector Δπ has a magnitude of 3 m and makes an angle of 60° with the x-axis. What is the x-component of the vector?
Correct A. 1.5 m
B. 2 m
C. 2.5 m
D. 3 m

Correct Answer: A

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Question 6 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 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 7 View Details
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. If the acceleration due to gravity is 9.8 m/s^2, what is the maximum height reached by the projectile?
A. 10 m
B. 15 m
Correct C. 20 m
D. 25 m

Correct Answer: C

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Question 8 View Details
A 100 Ω resistor is connected in series with a 50 Ω resistor and a 20 Ω resistor. If a 12 V battery is connected across the circuit, what is the current flowing through the 50 Ω resistor?
A. 0.2 A
B. 0.3 A
Correct C. 0.4 A
D. 0.5 A

Correct Answer: C

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Question 9 View Details
A 5 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. If the block is displaced by 2 m from its equilibrium position and released from rest, 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 10 View Details
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 centripetal acceleration of 1 m/s^2, what is the magnitude of the force acting on the particle?
A. 2 N
B. 4 N
Correct C. 6 N
D. 8 N

Correct Answer: C

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Question 11 View Details
A gas is contained in a cylinder with a movable piston. The gas is heated, cau\sing its pressure to increase. Which of the following statements is true about the change in volume of the gas?
A. The volume of the gas increases.
Correct B. The volume of the gas decreases.
C. The volume of the gas remains cons\tant.
D. The volume of the gas increases, but at a slower rate than the increase in pressure.

Correct Answer: B

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Question 12 View Details
A point charge of +2 μC is placed at the origin of a coordinate system. A second point charge of -3 μC is placed at a dis\tance of 0.5 m from the origin. What is the magnitude of the electric field at a point on the x-axis, 1.5 m from the origin?
A. 2.5 x 10^4 N/C
B. 3.5 x 10^4 N/C
Correct C. 4.5 x 10^4 N/C
D. 5.5 x 10^4 N/C

Correct Answer: C

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Question 13 View Details
A particle of mass 2 kg is moving in a circular path with a cons\tant speed of 4 m/s. If the radius of the circle is 1.5 m, what is the magnitude of the centripetal acceleration?
A. 1.33 m/s^2
Correct B. 2.67 m/s^2
C. 4 m/s^2
D. 5.33 m/s^2

Correct Answer: B

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Question 14 View Details
A convex lens of focal length 0.2 m is used to form an image of an object placed 0.5 m in front of it. What is the magnification of the image?
Correct A. -2
B. -1
C. 1
D. 2

Correct Answer: A

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Question 15 View Details
A fluid of density 1000 kg/m^3 is flowing through a horizontal pipe with a cross-sectional area of 0.01 m^2. If the velocity of the fluid is 2 m/s, what is the volume flow rate?
A. 0.02 m^3/s
Correct B. 0.04 m^3/s
C. 0.06 m^3/s
D. 0.08 m^3/s

Correct Answer: B

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Question 16 View Details
A spring with a spring cons\tant of 100 N/m is stretched by 0.2 m. What is the work done in stretching the spring?
A. 2 J
Correct B. 4 J
C. 6 J
D. 8 J

Correct Answer: B

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Question 17 View Details
A point charge of +5 μC is placed at the origin of a coordinate system. A second point charge of -2 μC is placed at a dis\tance of 0.3 m from the origin. What is the magnitude of the electric field at a point on the x-axis, 0.6 m from the origin?
A. 1.67 x 10^4 N/C
B. 2.67 x 10^4 N/C
Correct C. 3.67 x 10^4 N/C
D. 4.67 x 10^4 N/C

Correct Answer: C

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Question 18 View Details
A 10 Ω resistor is connected in series with a 20 Ω resistor and a 40 Ω resistor. If the total resis\tance is 60 Ω, what is the value of the unknown resis\tance?
Correct A. 5 Ω
B. 10 Ω
C. 20 Ω
D. 40 Ω

Correct Answer: A

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Question 19 View Details
A particle of mass 2 kg is moving in a circular path with a radius of 3 m. If the particle has a speed of 4 m/s, what is the magnitude of the centripetal acceleration?
A. 0.5 m/s^2
B. 1 m/s^2
Correct C. 2 m/s^2
D. 4 m/s^2

Correct Answer: C

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Question 20 View Details
A 100 mL sample of a gas at 27°C and 1 atm is heated to 127°C at cons\tant volume. What is the final pressure of the gas?
A. 2 atm
B. 3 atm
C. 4 atm
Correct D. 5 atm

Correct Answer: D

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Question 21 View Details
A radioactive sample has a half-life of 10 years. If the initial activity is 100 Bq, what is the activity after 20 years?
A. 25 Bq
Correct B. 50 Bq
C. 75 Bq
D. 100 Bq

Correct Answer: B

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Question 22 View Details
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 0.5 m from its equilibrium position and released from rest, what is the maximum speed of the block?
A. 0.5 m/s
B. 1 m/s
Correct C. 2 m/s
D. 4 m/s

Correct Answer: C

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Question 23 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 of the plates is doubled and the separation is halved, what is the new capaci\tance?
A. \( C' = \frac{\epsilon_0 A}{d} \)
Correct B. \( C' = 4 \frac{\epsilon_0 A}{d} \)
C. \( C' = 2 \frac{\epsilon_0 A}{d} \)
D. \( C' = \frac{\epsilon_0 A}{2d} \)

Correct Answer: B

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Question 24 View Details
A ray of light passes through a prism and is re\fracted. If the angle of incidence is $30^\circ$ and the angle of re\fraction is $60^\circ$, what is the angle of deviation?
A. $30^\circ$
B. $60^\circ$
Correct C. $90^\circ$
D. $120^\circ$

Correct Answer: C

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Question 25 View Details
A sound wave has a frequency of $100\,\text{Hz}$ and a wavelength of $10\,\text{m}$. What is the speed of the sound wave?
A. $100\,\text{m/s}$
B. $1000\,\text{m/s}$
Correct C. $10000\,\text{m/s}$
D. $100000\,\text{m/s}$

Correct Answer: C

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