POST UTME UNILAG 2020 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A particle of mass $m$ is moving in a circular path with radius $r$ and angular velocity $\omega$. What is the centripetal force acting on the particle?
A. \frac{mv^2}{r}
B. \frac{m\omega^2 r}{2}
C. \frac{mv^2}{2r}
D. \frac{m\omega^2 r}{4}
Question 2
A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the capaci\tance is 2.5 x 10^-10 F, what is the charge on the plates?
A. 1.25 x 10^-9 C
B. 2.5 x 10^-9 C
C. 5.0 x 10^-9 C
D. 7.5 x 10^-9 C
Question 3
A body of mass 2 kg is moving in a straight line with a velocity of 5 m/s. What is the kinetic energy of the body?
A. 10 J
B. 20 J
C. 30 J
D. 40 J
Question 4
A particle of mass 0.5 kg is moving in a circular path of radius 0.2 m with a speed of 2 m/s. What is the centripetal force acting on the particle?
A. 0.1 N
B. 0.2 N
C. 0.5 N
D. 1.0 N
Question 5
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 force?
A. 10 N
B. 12 N
C. 15 N
D. 20 N
Question 6
A gas is heated from 300 K to 400 K at cons\tant volume. If the initial pressure is 10^5 Pa, what is the final pressure?
A. 10^5 Pa
B. 10^6 Pa
C. 10^7 Pa
D. 10^8 Pa
Question 7
A sound wave with frequency $f$ is traveling through a medium with speed $v$. What is the wavelength of the sound wave?
A. \frac{v}{f}
B. \frac{f}{v}
C. \frac{v}{2f}
D. \frac{2f}{v}
Question 8
A circuit consists of a 10 ohm resistor and a 20 ohm resistor connected in series. If a voltage of 12 V is applied across the circuit, what is the current flowing through the circuit?
A. 0.4 A
B. 0.6 A
C. 0.8 A
D. 1.0 A
Question 9
A block of mass 5 kg is placed on a frictionless surface and attached to a horizontal spring with a force cons\tant of 20 N/m. If 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 10
A block of mass $M$ is placed on a frictionless surface and connected to a horizontal spring of force cons\tant $k$. The block is displaced by a dis\tance $x$ and released from rest. What is the angular frequency of the resulting simple harmonic motion?
A. \sqrt{\frac{k}{M}}
B. \sqrt{\frac{M}{k}}
C. \frac{k}{M}
D. \frac{M}{k}
Question 11
A body of mass 10 kg is moving in a straight line with a velocity of 5 m/s. If the body is subjected to a force of 20 N, what is the acceleration of the body?
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 12
A wave of frequency 50 Hz and wavelength 0.5 m is traveling through a medium. What is the speed of the wave?
A. 25 m/s
B. 50 m/s
C. 100 m/s
D. 200 m/s
Question 13
A parallel plate capacitor consists of two plates, each of area 0.1 m^2, separated by a dis\tance of 0.01 m. If the capaci\tance of the capacitor is 10^-8 F, what is the charge stored on the capacitor when a potential difference of 10 V is applied across it?
A. 10^-7 C
B. 10^-6 C
C. 10^-5 C
D. 10^-4 C
Question 14
A circuit consists of a resistor $R$ and an inductor $L$ connected in series. The circuit is driven by a voltage source $V$ with a frequency $f$. What is the impedance of the circuit?
A. \sqrt{R^2 + \( 2\pi fL \)^2}
B. \sqrt{\( 2\pi fL \)^2 - R^2}
C. \frac{R}{\sqrt{1 + \( 2\pi fL \)^2}}
D. \frac{\( 2\pi fL \)^2}{R}
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 of the particle?
A. \frac{L}{2}
B. \frac{L}{4}
C. \frac{3L}{4}
D. \frac{nL}{2}

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