POST UTME SUMMIT UNIVERSITY 2021 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. What is the current flowing through the circuit?
A. 1.5 A
B. 2 A
C. 2.5 A
D. 3 A
Question 2
A particle of mass $m$ is moving in a one-dimensional potential $V(x) = k|x|$. If the particle's energy is $E$, what is the probability that the particle is in the region $x > 0$?
A. \frac{1}{2}\left\( 1 + \frac{E}{k}\right \)
B. \frac{1}{2}\left\( 1 - \frac{E}{k}\right \)
C. \frac{1}{2}\left\( 1 + \frac{k}{E}\right \)
D. \frac{1}{2}\left\( 1 - \frac{k}{E}\right \)
Question 3
A sound wave has a frequency of 200 Hz and a wavelength of 0.5 m. If the speed of sound is 340 m/s, calculate the amplitude of the wave.
A. 0.1 m
B. 0.2 m
C. 0.3 m
D. 0.4 m
Question 4
A radioactive sample has a half-life of 5 years. If the initial activity is 100 Bq, what is the activity after 10 years?
A. 12.5 Bq
B. 25 Bq
C. 50 Bq
D. 100 Bq
Question 5
A particle of mass 2 kg is moving in a circular path of radius 4 m with a cons\tant speed of 6 m/s. What is the magnitude of the centripetal acceleration?
A. 1.2 m/s²
B. 1.5 m/s²
C. 2.0 m/s²
D. 2.5 m/s²
Question 6
A particle of mass 0.5 kg is moving in a circular path of radius 0.2 m with a cons\tant speed of 2.0 m/s. Calculate the magnitude of the force acting on the particle.
A. 2.0 N
B. 4.0 N
C. 6.0 N
D. 8.0 N
Question 7
A gas at 300 K expands from an initial volume of 0.1 m^3 to a final volume of 0.5 m^3. Assuming the process is isothermal, calculate the work done by the gas.
A. 100 J
B. 200 J
C. 300 J
D. 400 J
Question 8
A 5 kg block is attached to a horizontal, massless spring with force cons\tant 200 N/m. 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
C. 6 m/s
D. 8 m/s
Question 9
A particle of mass $m$ is moving in a circular orbit of radius $r$ under the influence of a central force given by $F(r) = k/r^2$. If the particle's speed is $v$, what is the angular momentum of the particle?
A. \frac{mv^2r}{k}
B. \frac{mv^2}{k}
C. \frac{mkr}{v^2}
D. \frac{mv^2}{r}
Question 10
A point charge of +2 μC is placed at the origin. What is the electric potential at a point 3 m away from the charge?
A. 1200 V
B. 1500 V
C. 1800 V
D. 2000 V
Question 11
A 2.0 kg block is attached to a horizontal, massless 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. Assuming the block undergoes simple harmonic motion, calculate the maximum speed of the block.
A. 0.5 m/s
B. 1.0 m/s
C. 1.5 m/s
D. 2.0 m/s
Question 12
A particle of mass $m$ is moving in a circular orbit of radius $r$ under the influence of a central force given by $F(r) = k/r^2$. If the particle's speed is $v$, what is the total energy of the particle?
A. $\frac{1}{2}mv^2 + \frac{km}{r}$
B. $\frac{1}{2}mv^2 - \frac{km}{r}$
C. $\frac{1}{2}mv^2 + \frac{km}{r^2}$
D. $\frac{1}{2}mv^2 - \frac{km}{r^2}
Question 13
A radioactive subs\tance has a half-life of 5 years. If the initial activity is 100 Bq, calculate the activity after 10 years.
A. 20 Bq
B. 40 Bq
C. 60 Bq
D. 80 Bq
Question 14
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 15
A particle of mass 1 kg is moving in a circular path of radius 2 m with a cons\tant speed of 4 m/s. Determine the magnitude of the centripetal acceleration.
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2

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