POST UTME CALEB UNIVERSITY 2020 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A beam of light passes from air into a glass of re\fractive index 1.5. If the angle of incidence is 30°, calculate the angle of re\fraction.
A. 20°
B. 30°
C. 40°
D. 50°
Question 2
A quantum particle of mass $m$ is confined to a one-dimensional box of length $L$. The particle's wave function is given by $\psi(x) = A \sin\left\( \frac{n\pi x}{L}\right \)$, where $A$ is a normalization cons\tant and $n$ is an integer. What is the expectation value of the particle's position?
A. \frac{L}{2}
B. \frac{nL}{2}
C. \frac{L}{n}
D. \frac{nL}{2n}
Question 3
A parallel plate capacitor consists of two plates, each of area 0.1 m^2, separated by a dis\tance of 0.01 m. The space between the plates is filled with a dielectric material of dielectric cons\tant 2. The capacitor is connected to a battery of emf 10 V. Calculate the capaci\tance of the capacitor.
A. 0.01 F
B. 0.02 F
C. 0.03 F
D. 0.04 F
Question 4
A circuit consists of a $10\Omega$ resistor, a $20\Omega$ resistor, and a $30\Omega$ resistor connected in series. If the voltage source is $12V$, find the current through the circuit.
A. 0.4A
B. 0.6A
C. 0.8A
D. 1.2A
Question 5
A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the dielectric cons\tant of the material between the plates is 3, calculate the capaci\tance.
A. 1.0 x 10^-9 F
B. 2.0 x 10^-9 F
C. 3.0 x 10^-9 F
D. 4.0 x 10^-9 F
Question 6
A particle of mass $m$ is attached to a spring with spring cons\tant $k$. If the particle is displaced by a dis\tance $x$ from its equilibrium position and released from rest, find the equation of motion.
A. m\frac{d^2x}{dt^2}+kx=0
B. m\frac{d^2x}{dt^2}-kx=0
C. m\frac{d^2x}{dt^2}+k\frac{dx}{dt}=0
D. m\frac{d^2x}{dt^2}-k\frac{dx}{dt}=0
Question 7
A simple harmonic motion has an amplitude of 5 m and a frequency of 2 Hz. If the particle is at its equilibrium position at t = 0, what is its position at t = 1 s?
A. -5 m
B. -2 m
C. 2 m
D. 5 m
Question 8
A ray of light passes from air into a glass of re\fractive index $1.5$. If the angle of incidence is $30^\circ$, find the angle of re\fraction.
A. 20^\circ
B. 30^\circ
C. 40^\circ
D. 50^\circ
Question 9
A light ray passes through a prism of angle 30° and is re\fracted at an angle of 20°. What is the angle of deviation?
A. 10°
B. 20°
C. 30°
D. 40°
Question 10
A sound wave of frequency $f$ and amplitude $A$ is propagating through a medium. If the wave is reflected from a rigid wall, what is the intensity of the reflected wave?
A. \frac{I_0}{2}
B. I_0
C. 2I_0
D. 4I_0
Question 11
A body of mass 5 kg is moving in a straight line with an initial velocity of 10 m/s. If it experiences a cons\tant acceleration of 2 m/s^2, what is its velocity after 5 seconds?
A. 25 m/s
B. 30 m/s
C. 35 m/s
D. 40 m/s
Question 12
A particle moves in a circular path with a radius of 2 m. If the particle completes one revolution in 4 s, what is its angular velocity?
A. 0.5 rad/s
B. 1.0 rad/s
C. 1.5 rad/s
D. 2.0 rad/s
Question 13
A particle moves in a circular path with a cons\tant speed of 5 m/s. If the radius of the circle is 2 m, calculate the magnitude of the acceleration of the particle.
A. 1.25 m/s^2
B. 2.50 m/s^2
C. 5.00 m/s^2
D. 10.00 m/s^2
Question 14
A parallel plate capacitor has plates of area $A$ and separation $d$. If the capaci\tance is $C$, find the value of $d$ in terms of $A$ and $C$.
A. \frac{A}{C}
B. \frac{C}{A}
C. \frac{A^2}{C}
D. \frac{C^2}{A}
Question 15
A block of mass 2 kg is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. The block is displaced by 0.2 m from its equilibrium position and released from rest. Assuming the block undergoes simple harmonic motion, calculate the maximum speed of the block.
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s

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