POST UTME ACHIEVERS UNIVERSITY 2017 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A particle of mass 2 kg is projected from the origin with an initial velocity of 10 m/s at an angle of 60° to the horizontal. If the acceleration due to gravity is 9.8 m/s², calculate the time taken for the particle to reach its maximum height.
A. 2 s
B. 3 s
C. 4 s
D. 5 s
Question 2
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
C. 20 m
D. 25 m
Question 3
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
C. 8 m/s^2
D. 10 m/s^2
Question 4
A cylindrical vessel of radius 10 cm and height 20 cm is filled with water to a height of 15 cm. Calculate the pressure at the bottom of the vessel.
A. 1000 Pa
B. 2000 Pa
C. 3000 Pa
D. 4000 Pa
Question 5
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
C. 100 J
D. 125 J
Question 6
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
B. 25 Bq
C. 50 Bq
D. 100 Bq
Question 7
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
C. 12 V
D. 14 V
Question 8
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
B. 2000 J
C. 3000 J
D. 4000 J
Question 9
A particle of mass 2 kg is projected from the origin with an initial velocity of 20 m/s at an angle of 60° to the horizontal. Calculate the time of flight and the maximum height reached by the particle.
A. 4 s, 10 m
B. 5 s, 12 m
C. 6 s, 15 m
D. 7 s, 18 m
Question 10
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
C. 12 N
D. 16 N
Question 11
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
B. 1.0 m/s
C. 1.5 m/s
D. 2.0 m/s
Question 12
A magnetic field of 0.5 T is applied 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 on the wire?
A. 0.5 N
B. 1 N
C. 2 N
D. 5 N
Question 13
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?
A. \frac{2mv^2}{R}
B. \frac{mv^2}{2R}
C. \frac{mv^2}{4R}
D. \frac{mv^2}{R}
Question 14
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
B. 2.0 s
C. 3.0 s
D. 4.0 s
Question 15
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 force of 12 N, what is the magnitude of the acceleration of the particle?
A. 10 m/s^2
B. 12 m/s^2
C. 15 m/s^2
D. 20 m/s^2

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Help others prepare! Share this practice hub: