POST UTME COVENANT UNIVERSITY 2025 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A sound wave with frequency $f$ and amplitude $A$ is propagating through a medium with speed $v$. What is the wavelength of the sound wave?
A. \frac{v}{f}
B. \frac{f}{v}
C. \frac{A}{f}
D. \frac{v}{A}
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. 20 m
C. 30 m
D. 40 m
Question 3
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. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 4
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 expectation value of the position operator for this state?
A. \( \frac{L}{2} \)
B. \( \frac{L}{4} \)
C. \( \frac{3L}{4} \)
D. \( \frac{L}{pi} \)
Question 5
A sound wave with frequency $f$ and amplitude $A$ is traveling through a medium with speed $v$. What is the wavelength of the sound wave?
A. \( \frac{v}{2pi f} \)
B. \( \frac{v}{f} \)
C. \( \frac{2pi f}{v} \)
D. \( \frac{f}{v} \)
Question 6
A capacitor of capaci\tance 10 μF is connected in series with a resistor of resis\tance 20 Ω. If a voltage of 50 V is applied across the circuit, what is the current flowing through the circuit?
A. 0.25 A
B. 0.5 A
C. 1 A
D. 2 A
Question 7
A nucleus of mass number $A$ and atomic number $Z$ undergoes \beta decay, emitting a \beta particle of energy $E$. What is the kinetic energy of the recoiling nucleus?
A. \( \frac{E}{1 + \frac{m_e}{M}} \)
B. \( \frac{E}{1 - \frac{m_e}{M}} \)
C. \( \frac{E}{1 + \frac{M}{m_e}} \)
D. \( \frac{E}{1 - \frac{M}{m_e}} \)
Question 8
A heat engine operates between two temperatures $T_1$ and $T_2$. The engine has an efficiency of $\eta$. What is the ratio of the temperatures?
A. \frac{1}{\eta}
B. \eta
C. 1 - \eta
D. \frac{\eta}{1 - \eta}
Question 9
A 5 μF capacitor is connected in series with a 10 Ω resistor. If a 12 V battery is connected across the circuit, what is the time cons\tant of the circuit?
A. 0.2 s
B. 0.4 s
C. 0.6 s
D. 0.8 s
Question 10
A radioactive subs\tance has a half-life of 10 years. If the initial activity is 1000 Bq, what is the activity after 20 years?
A. 250 Bq
B. 500 Bq
C. 750 Bq
D. 1000 Bq
Question 11
A wave has a frequency of 50 Hz and a wavelength of 2 m. If the wave is traveling in the positive x-direction, what is the equation of the wave?
A. y(x,t) = A \sin\( \frac{\pi}{2} x - 2\pi ft \)
B. y(x,t) = A \sin\( \frac{2\pi}{2} x - 2\pi ft \)
C. y(x,t) = A \cos\( \frac{2\pi}{2} x - 2\pi ft \)
D. y(x,t) = A \cos\( \frac{\pi}{2} x - 2\pi ft \)
Question 12
A parallel plate capacitor has a capaci\tance of 10 μF. If a voltage of 20 V is applied across the plates, what is the energy stored in the capacitor?
A. 0.02 J
B. 0.04 J
C. 0.06 J
D. 0.08 J
Question 13
A 100 W bulb is connected to a 220 V supply. What is the current drawn by the bulb?
A. 0.5 A
B. 1 A
C. 2 A
D. 5 A
Question 14
A particle of mass $m$ is moving in a circular orbit of radius $r$ with angular frequency $omega$. What is the magnitude of the magnetic field $B$ required to maintain this orbit?
A. \( \frac{momega^2 r}{q} \)
B. \( \frac{qomega^2 r}{m} \)
C. \( \frac{momega r}{q} \)
D. \( \frac{qomega r}{m} \)
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 uniform magnetic field of 2 T directed perp\endicular to the plane of the circular path, what is the magnitude of the magnetic force acting on the particle?
A. 10 N
B. 20 N
C. 30 N
D. 40 N

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