POST UTME MOUNTAIN TOP UNIVERSITY 2019 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A gas at 300 K and 1 atm expands to 2 atm against a cons\tant external pressure. If the initial volume is 0.5 m^3, calculate the final volume of the gas.
A. 0.25 m^3
B. 0.5 m^3
C. 1 m^3
D. 2 m^3
Question 2
A particle of mass $m$ is confined to a one-dimensional box of length $L$. If the particle is in the ground state, what is the energy of the particle?
A. \frac{h^2}{8mL^2}
B. \frac{h^2}{4mL^2}
C. \frac{h^2}{16mL^2}
D. \frac{h^2}{32mL^2}
Question 3
A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the dielectric cons\tant of the material between the plates is 3, and the potential difference between the plates is 10 V, calculate the capaci\tance of the capacitor.
A. 0.02 F
B. 0.04 F
C. 0.06 F
D. 0.08 F
Question 4
A particle is projected at an angle of 60° to the horizontal with an initial velocity of 20 m/s. What is the time of flight?
A. 2.0 s
B. 2.5 s
C. 3.0 s
D. 3.5 s
Question 5
A convex lens has a focal length of 20 cm. An object is placed 30 cm in front of the lens. What is the image dis\tance?
A. -60 cm
B. -40 cm
C. -20 cm
D. 10 cm
Question 6
A 2.0 mH inductor is connected in series with a 3.0 Ω resistor and a 12 V battery. What is the current in the circuit?
A. 0.5 A
B. 1.0 A
C. 1.5 A
D. 2.0 A
Question 7
A particle of mass 0.5 kg is projected from the origin with an initial velocity of 20 m/s at an angle of 60° to the horizontal. If the acceleration due to gravity is 9.8 m/s^2, determine the time taken for the particle to reach its maximum height.
A. 1.5 s
B. 2.0 s
C. 2.5 s
D. 3.0 s
Question 8
A block of mass $m$ is attached to a horizontal spring of spring cons\tant $k$. If the block is displaced by a dis\tance $x$ and released from rest, what is the maximum speed of the block?
A. \sqrt{\frac{kx^2}{m}}
B. \sqrt{\frac{mx^2}{k}}
C. \sqrt{\frac{k^2x^2}{m}}
D. \sqrt{\frac{m^2x^2}{k}}
Question 9
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. 1.5 m/s^2
B. 2.0 m/s^2
C. 3.0 m/s^2
D. 4.0 m/s^2
Question 10
A simple harmonic motion has a maximum displacement of 2 m and a period of 4 s. If the motion starts from the equilibrium position, what is the maximum velocity of the motion?
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 11
A wave of frequency 50 Hz and amplitude 2 m is traveling through a medium with a speed of 100 m/s. If the wave is reflected from a fixed \end, what is the maximum acceleration of the wave at the fixed \end?
A. 10 m/s^2
B. 20 m/s^2
C. 30 m/s^2
D. 40 m/s^2
Question 12
A radioactive sample has a half-life of $T_{1/2}$. Find the activity of the sample after a time $t$.
A. A_0 \left\( \frac{1}{2}\right \)^{t/T_{1/2}}
B. A_0 \left\( \frac{1}{2}\right \)^{T_{1/2}/t}
C. A_0 \left\( \frac{1}{2}\right \)^{t/T_{1/2}} + A_0
D. A_0 \left\( \frac{1}{2}\right \)^{t/T_{1/2}} - A_0
Question 13
A 2-pole, 4-wire, star-connected alternator has an induced emf of 220 V per phase. If the line current is 10 A, determine the power factor of the load.
A. 0.8
B. 0.6
C. 0.4
D. 0.2
Question 14
A point charge of 2 μC is placed at the origin. If a second point charge of -3 μC is placed 0.5 m away from the first charge, determine the electric potential at the point midway between the two charges.
A. 100 V
B. 200 V
C. 300 V
D. 400 V
Question 15
A radioactive sample of Δₗ emits Δₗα particles with a half-life of 5.27 years. If the initial activity is 100 Bq, what is the activity after 10.5 years?
A. 50 Bq
B. 25 Bq
C. 12.5 Bq
D. 6.25 Bq

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