POST UTME ESUT 2022 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A capacitor of capaci\tance $C$ is charged to a potential difference $V$. Find the energy stored in the capacitor.
A. \frac{1}{2} CV^2
B. CV^2
C. \frac{1}{4} CV^2
D. \frac{1}{8} CV^2
Question 2
A light ray is incident on a prism with angle of incidence $\theta_i$ and angle of re\fraction $\theta_r$. If the prism has a re\fractive index $n$, what is the angle of deviation?
A. \theta_i - \theta_r
B. \theta_i + \theta_r
C. n\theta_i
D. n\theta_r
Question 3
A 1000 Ω resistor is connected in parallel with a 2000 Ω resistor. What is the equivalent resis\tance of the circuit?
A. 500 Ω
B. 1000 Ω
C. 2000 Ω
D. 4000 Ω
Question 4
A ray of light passes from air into a glass slab of re\fractive index $\mu$. If the angle of incidence is $\theta_i$ and the angle of re\fraction is $\theta_r$, what is the value of the angle of re\fraction?
A. \sin \theta_i
B. \sin \theta_r
C. \cos \theta_i
D. \cos \theta_r
Question 5
A particle of mass $m$ is projected from the origin with an initial velocity $v_0$ at an angle $\theta$ to the horizontal. The particle experiences a uniform gravitational field of magnitude $g$. Find the time $t$ at which the particle reaches its maximum height.
A. \frac{v_0 \sin \theta}{g}
B. \frac{v_0 \cos \theta}{g}
C. \frac{v_0 \sin \theta}{g^2}
D. \frac{v_0 \cos \theta}{g^2}
Question 6
A nucleus of mass number $A$ and atomic number $Z$ undergoes \beta decay. What is the resulting nucleus?
A. A-1, Z+1
B. A+1, Z-1
C. A, Z
D. A-1, Z-1
Question 7
A particle of mass $m$ is moving in a circular orbit of radius $r$ in a uniform magnetic field of strength $B$. If the particle's speed is $v$, what is the magnitude of the magnetic field?
A. \frac{mv}{qr}
B. \frac{mv^2}{qr}
C. \frac{m}{qr}
D. \frac{v}{qr}
Question 8
A vector has a magnitude of 5 m and makes an angle of 30° with the positive x-axis. If the vector is rotated by 60°, calculate the new magnitude.
A. 5 m
B. 7.5 m
C. 10 m
D. 12.5 m
Question 9
A 10 μF capacitor is connected in series with a 100 Ω resistor and a 200 V battery. If the current in the circuit is 0.1 A, what is the time cons\tant of the circuit?
A. 0.1 s
B. 0.2 s
C. 0.5 s
D. 1 s
Question 10
A wave of frequency $f$ and wavelength $\lambda$ is traveling through a medium. Find the speed of the wave.
A. f\lambda
B. f + \lambda
C. f - \lambda
D. f\lambda^2
Question 11
A lens of focal length $f$ forms an image of an object at a dis\tance $u$ from the lens. If the magnification is $m$, what is the value of the image dis\tance $v$?
A. -\frac{v}{u} = \frac{f}{u}
B. -\frac{v}{u} = -\frac{f}{u}
C. \frac{v}{u} = \frac{f}{u}
D. \frac{v}{u} = -\frac{f}{u}
Question 12
A 5.0 kg block is moving in a circular path with a radius of 2.0 m. The block experiences a centripetal acceleration of 4.0 m/s^2. What is the speed of the block?
A. 2.0 m/s
B. 4.0 m/s
C. 6.0 m/s
D. 8.0 m/s
Question 13
A 10.0 kg block is moving at a speed of 5.0 m/s. What is its kinetic energy?
A. 25 J
B. 50 J
C. 75 J
D. 100 J
Question 14
A 1000 Ω resistor is connected in series with a 200 V battery. If the current in the circuit is 0.2 A, what is the power dissipated in the resistor?
A. 20 W
B. 40 W
C. 80 W
D. 160 W
Question 15
A magnetic field is produced by a current-carrying wire. The current is 2 A and the length of the wire is 0.5 m. If the magnetic field at a dis\tance of 0.1 m from the wire is 0.01 T, calculate the magnetic moment.
A. 0.01 A m^2
B. 0.02 A m^2
C. 0.03 A m^2
D. 0.04 A m^2

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