POST UTME BABCOCK UNIVERSITY 2019 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A parallel plate capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 12 V. If a dielectric slab of thickness 2 mm and dielectric cons\tant 4 is inserted between the plates, calculate the new capaci\tance.
A. 20 μF
B. 30 μF
C. 40 μF
D. 50 μF
Question 2
A gas is confined to a cylinder of volume $V = 2 L$. The gas is heated from an initial temperature of $T_1 = 300 K$ to a final temperature of $T_2 = 500 K$. If the gas is assumed to be ideal, what is the final pressure of the gas?
A. 2.0 atm
B. 3.0 atm
C. 4.0 atm
D. 5.0 atm
Question 3
A projectile is launched at an angle of 30° above the horizontal with an initial velocity of 20 m/s. If the air resis\tance is negligible, what is the maximum height reached by the projectile?
A. 10 m
B. 15 m
C. 20 m
D. 25 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. 20 Bq
B. 40 Bq
C. 60 Bq
D. 80 Bq
Question 5
A car travels from point A to point B with a cons\tant acceleration of 2 m/s². If the initial velocity is 5 m/s and the final velocity is 15 m/s, calculate the time taken to travel from point A to point B.
A. 5 s
B. 10 s
C. 15 s
D. 20 s
Question 6
A 2 kg object is moving in a straight line with a velocity of 5 m/s. If the object experiences a force of 10 N for 2 seconds, what is the change in momentum of the object?
A. 10 kg m/s
B. 20 kg m/s
C. 30 kg m/s
D. 40 kg m/s
Question 7
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, what is the magnitude of the centripetal acceleration?
A. 6 m/s^2
B. 8 m/s^2
C. 10 m/s^2
D. 12 m/s^2
Question 8
A particle of mass $m$ is moving in a circular orbit of radius $r$ with a speed $v$. The magnetic field $B$ is perp\endicular to the plane of the orbit. What is the magnitude of the magnetic moment of the particle?
A. \frac{mvr}{2}
B. \frac{mvr}{4}
C. \frac{mvr}{6}
D. \frac{mvr}{8}
Question 9
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, what is 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
Question 10
A simple harmonic oscillator has a frequency of $f = 2 Hz$. If the oscillator is displaced from its equilibrium position by a dis\tance of $x = 0.5 m$, what is the maximum acceleration of the oscillator?
A. 2 \pi^2 Hz^2
B. 4 \pi^2 Hz^2
C. 6 \pi^2 Hz^2
D. 8 \pi^2 Hz^2
Question 11
A particle of mass $m$ is moving in a circular orbit of radius $r$ with a speed of $v$. What is the centripetal acceleration of the particle?
A. \frac{v^2}{r}
B. \frac{2v^2}{r}
C. \frac{3v^2}{r}
D. \frac{4v^2}{r}
Question 12
A particle of mass 2 kg is attached to a spring with a spring cons\tant of 100 N/m. If the particle is displaced by 0.2 m from its equilibrium position and released from rest, calculate the angular frequency of the simple harmonic motion.
A. 10 rad/s
B. 20 rad/s
C. 30 rad/s
D. 40 rad/s
Question 13
A particle of mass $m$ is confined to a one-dimensional box of length $L$. The ground state wave function of the particle is given by $psi_0(x) = \sqrt{\frac{2}{L}} \sinleft\( \frac{pi x}{L}\right \)$. What is the probability of finding the particle in the region $0 < x < \frac{L}{2}$?
A. 0.5
B. 0.25
C. 0.75
D. 0.33
Question 14
A gas is contained in a cylinder of volume V. If the temperature of the gas is increased by a factor of 2, what is the new pressure of the gas?
A. P/2
B. P
C. 2P
D. 4P
Question 15
A particle of mass $m$ is confined to a one-dimensional box of length $L$. The wave function of the particle is given by (psi(x) = \sqrt{\frac{2}{L}} \sinleft\( \frac{npi x}{L}\right \)). What is the expectation value of the position operator for this particle?
A. \frac{L}{2}
B. \frac{L}{4}
C. \frac{3L}{4}
D. \frac{L}{3}

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