POST UTME ACHIEVERS UNIVERSITY 2017 Physics | Objective

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Question 1
A uniform rod of length 2.0 m and mass 5.0 kg is pivoted at one \end. It is released from rest at an angle of 30° to the vertical. Assuming the rod does not slip, calculate the speed of the rod when it completes one full rotation.
A. 0.5 m/s
Correct B. 1.0 m/s
C. 1.5 m/s
D. 2.0 m/s

Correct Answer: B

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Question 2
A parallel plate capacitor has plates of area 0.01 m² and separation 0.001 m. If the capaci\tance is 10 nF, calculate the potential difference across the plates when a charge of 1.0 µC is stored.
A. 1.0 V
B. 2.0 V
Correct C. 3.0 V
D. 4.0 V

Correct Answer: C

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Question 3
A body of mass 2.0 kg is moving in a circular path of radius 1.0 m with a speed of 4.0 m/s. If the body is subjected to a centripetal force of 10 N, calculate the time taken for the body to complete one full rotation.
A. 1.0 s
Correct B. 2.0 s
C. 3.0 s
D. 4.0 s

Correct Answer: B

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Question 4
A heat engine operates between the temperatures 300 K and 600 K. If the engine absorbs 100 J of heat from the high-temperature reservoir, calculate the work done by the engine.
A. 50 J
B. 75 J
Correct C. 100 J
D. 125 J

Correct Answer: C

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Question 5
A particle of mass 1.0 kg is moving in a straight line with a velocity of 5.0 m/s. If the particle is subjected to a force of 10 N, calculate the acceleration of the particle.
A. 1.0 m/s²
Correct B. 2.0 m/s²
C. 3.0 m/s²
D. 4.0 m/s²

Correct Answer: B

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Question 6
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 subject 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 7
A 100 V, 50 Hz AC supply is connected to a 50 Ω resistor. What is the rms value of the current flowing through the resistor?
A. 0.5 A
Correct B. 1 A
C. 1.5 A
D. 2 A

Correct Answer: B

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Question 8
A body of mass 5 kg is at rest on a horizontal surface. A horizontal force of 10 N is applied to the body. What is the acceleration of the body?
A. 2 m/s^2
B. 5 m/s^2
Correct C. 10 m/s^2
D. 20 m/s^2

Correct Answer: C

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Question 9
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. 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 10
A 2 kg block is attached to a horizontal 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. 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 11
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 $F_c = \frac{mv^2}{R}$. If the particle's speed is doubled, what is the new centripetal force required to maintain the circular path?
Correct A. \frac{2mv^2}{R}
B. \frac{mv^2}{2R}
C. \frac{mv^2}{4R}
D. \frac{mv^2}{R}

Correct Answer: A

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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 total resis\tance of the circuit?
A. 10 Ω
B. 12 Ω
Correct C. 16 Ω
D. 20 Ω

Correct Answer: C

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Question 13
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. 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 14
A capacitor consists of two parallel plates separated by a dis\tance of 2 mm. The capaci\tance of the capacitor is 10 μF. If the potential difference between the plates is increased to 10 V, what is the new charge stored on the capacitor?
A. 100 μC
Correct B. 200 μC
C. 300 μC
D. 400 μC

Correct Answer: B

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Question 15
A wave function ψ(x) = A \sin(kx) is given. What is the value of k?
A. 1
Correct B. 2
C. 3
D. 4

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 net 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 17
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. If the current in the circuit is 2 A, what is the voltage drop across the 6 Ω resistor?
A. 8 V
B. 10 V
Correct C. 12 V
D. 14 V

Correct Answer: C

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Question 18
A magnetic field of 0.5 T is directed perp\endicular to a current of 2 A. If the force on a 0.1 m long wire is 0.2 N, what is the angle between the current and the magnetic field?
A. 30°
B. 45°
Correct C. 60°
D. 75°

Correct Answer: C

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Question 19
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 20
A 10 Ω resistor is connected in parallel with a 20 Ω resistor. If a voltage of 12 V is applied across the combination, what is the total current drawn from the source?
A. 0.5 A
B. 1 A
Correct C. 1.5 A
D. 2 A

Correct Answer: C

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Question 21
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 path is 3 m, calculate the magnitude of the centripetal acceleration.
A. 4 m/s^2
B. 6 m/s^2
Correct C. 8 m/s^2
D. 10 m/s^2

Correct Answer: C

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Question 22
A container holds 2 moles of an ideal gas at a temperature of 300 K. If the gas is heated to 400 K, calculate the change in the internal energy of the gas.
A. 1000 J
Correct B. 2000 J
C. 3000 J
D. 4000 J

Correct Answer: B

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Question 23
A force of 10 N is applied to an object, cau\sing it to accelerate at a rate of 2 m/s^2. If the mass of the object is 5 kg, calculate the work done on the object.
A. 20 J
B. 30 J
Correct C. 40 J
D. 50 J

Correct Answer: C

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Question 24
A radioactive sample has a half-life of 2 years. If the initial activity of the sample is 100 Bq, calculate the activity of the sample after 4 years.
A. 12.5 Bq
Correct B. 25 Bq
C. 50 Bq
D. 100 Bq

Correct Answer: B

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Question 25
A particle of mass 1 kg is moving in a circular path with a cons\tant speed of 3 m/s. If the radius of the path is 2 m, calculate the magnitude of the centripetal force.
A. 1.5 N
B. 3 N
Correct C. 4.5 N
D. 6 N

Correct Answer: C

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