POST UTME UNILORIN 2018 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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. \( 10 , \text{m} \)
B. \( 15 , \text{m} \)
C. \( 20 , \text{m} \)
D. \( 25 , \text{m} \)
Question 2
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
B. 12 N
C. 8 N
D. 6 N
Question 3
A block of mass 5 kg is placed on a frictionless surface and attached to a horizontal spring with a force cons\tant of 200 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. 4 m/s
B. 6 m/s
C. 8 m/s
D. 10 m/s
Question 4
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, calculate the centripetal acceleration.
A. 0.5 m/s^2
B. 1 m/s^2
C. 2 m/s^2
D. 4 m/s^2
Question 5
A parallel plate capacitor has a capaci\tance of 2 μF. If a potential difference of 10 V is applied across it, what is the charge stored on the plates?
A. 20 μC
B. 40 μC
C. 60 μC
D. 80 μC
Question 6
A magnetic field of 0.5 T is directed along the positive z-axis. A current of 2 A is flowing in a wire that lies in the xy-plane. What is the magnitude of the magnetic force on a 0.1 m long segment of the wire?
A. \( 0.1 , \text{N} \)
B. \( 0.2 , \text{N} \)
C. \( 0.5 , \text{N} \)
D. \( 1 , \text{N} \)
Question 7
A simple harmonic motion has a period 2 s and an amplitude 0.5 m. What is the angular frequency?
A. 1.57 rad/s
B. 3.14 rad/s
C. 6.28 rad/s
D. 10 rad/s
Question 8
A projectile is launched at an angle of 30° to the horizontal with an initial velocity of 20 m/s. Calculate the time of flight.
A. 2 s
B. 4 s
C. 6 s
D. 8 s
Question 9
A vector (mathbf{A}) has a magnitude of 5 units and makes an angle of 30° with the positive x-axis. A vector (mathbf{B}) has a magnitude of 3 units and makes an angle of 60° with the positive x-axis. What is the magnitude of the sum of vectors (mathbf{A}) and (mathbf{B})?
A. \( 4 , \text{units} \)
B. \( 5 , \text{units} \)
C. \( 6 , \text{units} \)
D. \( 7 , \text{units} \)
Question 10
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 projectile lands 100 m away from the launch point, what is the maximum height reached by the projectile?
A. 15 m
B. 20 m
C. 25 m
D. 30 m
Question 11
A radioactive sample has a half-life of 10 years. If the initial activity is 100 Bq, calculate the activity after 20 years.
A. 25 Bq
B. 50 Bq
C. 75 Bq
D. 100 Bq
Question 12
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 combination, what is the current flowing through the 10 Ω resistor?
A. 0.4 A
B. 0.6 A
C. 0.8 A
D. 1.2 A
Question 13
A point charge of +2 μC is placed at the center of a hollow, conducting sphere of radius 0.1 m. What is the electric field at a point on the surface of the sphere?
A. \( 0 , \text{N/C} \)
B. \( 2 \times 10^6 , \text{N/C} \)
C. \( 4 \times 10^6 , \text{N/C} \)
D. \( 6 \times 10^6 , \text{N/C} \)
Question 14
A 100 Ω resistor is connected in series with a 20 Ω resistor and a 50 Ω resistor. If a 12 V battery is connected across the circuit, what is the current flowing through the 100 Ω resistor?
A. 0.2 A
B. 0.4 A
C. 0.6 A
D. 0.8 A
Question 15
A \tank is filled with water to a height of 4 m. If a small hole of area 0.01 m^2 is made at the bottom of the \tank, what is the rate at which the water level will drop?
A. 0.04 m/s
B. 0.08 m/s
C. 0.12 m/s
D. 0.16 m/s

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