POST UTME PAN-ATLANTIC UNIVERSITY 2021 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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 2
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 angle between the velocity vector and the radius vector at the ins\tant when the particle is at the top of its circular path?
A. 0°
B. 30°
C. 45°
D. 60°
Question 3
A 10 Ω resistor is connected in series with a 20 Ω resistor and a 30 Ω resistor. If the total resis\tance is 60 Ω, what is the value of the unknown resistor?
A. 5 Ω
B. 15 Ω
C. 25 Ω
D. 35 Ω
Question 4
A block of mass 5 kg is placed on a frictionless surface. A force of 10 N is applied to the block, cau\sing it to accelerate at 2 m/s^2. What is the normal force exerted on the block?
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 5
A gas is heated from 300 K to 400 K at cons\tant volume. If the initial pressure is 1 atm, calculate the final pressure.
A. 1.33 atm
B. 1.5 atm
C. 1.67 atm
D. 2 atm
Question 6
A 10 μF capacitor is connected in series with a 20 Ω resistor and a 100 V battery. What is the current flowing through the circuit?
A. 0.5 A
B. 1 A
C. 2 A
D. 5 A
Question 7
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 $f$. If the induc\tance is doubled to $2L$, what is the new inductive reac\tance $X_{L,new}$?
A. \omega 2L
B. \omega L
C. \frac{\omega L}{2}
D. \frac{\omega L}{4}
Question 8
A particle of mass 1 kg is moving in a circular path with a cons\tant speed of 2 m/s. If the radius of the path is 2 m, calculate the magnitude of the centripetal acceleration.
A. 1 m/s^2
B. 2 m/s^2
C. 3 m/s^2
D. 4 m/s^2
Question 9
A parallel plate capacitor has plates of area $A$ and separation $d$. If the capaci\tance is $C$, find the value of the dielectric cons\tant $K$.
A. \( K = \frac{Cd}{A \epsilon_0} \)
B. \( K = \frac{A \epsilon_0}{Cd} \)
C. \( K = \frac{Cd}{A \epsilon_0} \)
D. \( K = \frac{A \epsilon_0}{Cd} \)
Question 10
A light ray passes through a prism of angle $A$ and is re\fracted at an angle $B$. If the angle of deviation is $D$, find the value of the re\fractive index $n$.
A. \( n = \frac{\sin \left\( \frac{A}{2} \right \)}{\sin \left\( \frac{D}{2} \right \)} \)
B. \( n = \frac{\sin \left\( \frac{D}{2} \right \)}{\sin \left\( \frac{A}{2} \right \)} \)
C. \( n = \frac{\sin \left\( \frac{A}{2} \right \)}{\sin \left\( \frac{D}{2} \right \)} \)
D. \( n = \frac{\sin \left\( \frac{D}{2} \right \)}{\sin \left\( \frac{A}{2} \right \)} \)
Question 11
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 12
A 100 W light bulb is connected to a 220 V power source. What is the current drawn by the bulb?
A. 0.5 A
B. 1 A
C. 2 A
D. 4 A
Question 13
A wave function is given by ψ(x) = Ae^(ikx). What is the wavelength of the wave?
A. 2π
B. 4π
C. 6π
D. 8π
Question 14
A wave of wavelength $\lambda$ and frequency $f$ is traveling through a medium of speed $v$. If the wave is reflected at a surface, find the value of the reflected wave's frequency $f_r$.
A. \( f_r = \frac{f}{2} \)
B. \( f_r = 2f \)
C. \( f_r = \frac{f}{4} \)
D. \( f_r = 4f \)
Question 15
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, calculate the magnitude of the centripetal acceleration.
A. 4 m/s^2
B. 6 m/s^2
C. 8 m/s^2
D. 10 m/s^2

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