POST UTME OAU 2022 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A wave has a frequency of $f$ and a wavelength of $\lambda$. Find the speed of the wave.
A. f\lambda
B. f/\lambda
C. \lambda/f
D. 1/\( f\lambda \)
Question 2
A light ray passes through a prism of angle $A$ and is re\fracted at an angle $B$. What is the angle of deviation?
A. A + B
B. A - B
C. A \times B
D. A/B
Question 3
A capacitor $C$ is connected to a battery $V$ through a switch $S$. If the capacitor is initially uncharged, find the charge $Q$ on the capacitor at time $t$ after the switch is closed.
A. \( Q = C V \left\( 1 - e^{-\frac{t}{RC}} \right \)
B. \( Q = C V \left\( 1 + e^{-\frac{t}{RC}} \right \)
C. \( Q = C V \left\( 1 - e^{-\frac{t}{C}} \right \)
D. \( Q = C V \left\( 1 + e^{-\frac{t}{C}} \right \)
Question 4
A circuit consists of a 10 Ω resistor and a 20 Ω resistor connected in parallel. If the voltage across the circuit is 20 V, calculate the current through the 10 Ω resistor.
A. 0.5 A
B. 1 A
C. 2 A
D. 4 A
Question 5
A car travels from point A to point B with an average speed of 60 km/h. If the dis\tance between the two points is 240 km, calculate the time taken by the car to travel from point A to point B.
A. 2 hours
B. 3 hours
C. 4 hours
D. 5 hours
Question 6
A particle of mass $m$ is moving in a circular orbit of radius $r$ with a speed $v$. Find the centripetal acceleration.
A. \frac{v^2}{r}
B. \frac{r}{v^2}
C. \frac{m}{r}
D. \frac{r}{m}
Question 7
A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. What is the magnitude of the centripetal acceleration?
A. mv^2/r
B. mv^2/r^2
C. mv/r
D. mv^2/r^3
Question 8
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 angular velocity of the particle.
A. 2 rad/s
B. 4 rad/s
C. 6 rad/s
D. 8 rad/s
Question 9
A circuit consists of a resistor $R_1 = 10 \Omega$, an inductor $L = 5 \text{H}$, a capacitor $C = 2 \text{F}$, and a voltage source $V = 20 \text{V}$ in series. If the circuit is connected to a switch that is initially open, find the current $i(t)$ in the circuit at time $t = 2 \text{s}$ after the switch is closed.
A. \( i(t) = \frac{V}{R_1} \left\( 1 - e^{-\frac{R_1}{L} t} \right \)
B. \( i(t) = \frac{V}{R_1} \left\( 1 + e^{-\frac{R_1}{L} t} \right \)
C. \( i(t) = \frac{V}{R_1} \left\( 1 - e^{-\frac{R_1}{C} t} \right \)
D. \( i(t) = \frac{V}{R_1} \left\( 1 + e^{-\frac{R_1}{C} t} \right \)
Question 10
A wave has a frequency of $f$ and a speed of $v$. Find the wavelength.
A. v/f
B. f/v
C. 1/\( v/f \)
D. v/\( f^2 \)
Question 11
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\( \frac{npi x}{L}\right \)$, where $n$ is a positive integer. What is the expectation value of the position of the particle in the ground state \( $n=1$ \)?
A. 0
B. L/2
C. L
D. L/4
Question 12
A light ray is incident on a glass slab at an angle of 60°. If the re\fractive index of the glass is 1.5, calculate the angle of re\fraction.
A. 30°
B. 45°
C. 60°
D. 75°
Question 13
A body is moving with a uniform acceleration of 2 m/s². Its initial velocity is 5 m/s. What is its velocity after 3 seconds?
A. 7 m/s
B. 8 m/s
C. 9 m/s
D. 10 m/s
Question 14
A 50 Hz AC voltage source has a peak value of 100 V. Calculate the root mean square (RMS) value of the voltage.
A. 70.71 V
B. 50 V
C. 100 V
D. 141.42 V
Question 15
A particle of mass $m$ is projected from the origin with an initial velocity $v_0$ at an angle $\theta$ to the horizontal. If the particle's trajectory is described by the equation $y = x \tan \theta - \frac{gx^2}{2v_0^2 \cos^2 \theta}$, where $g$ is the acceleration due to gravity, find the time $t$ at which the particle reaches its maximum height.
A. \( t = \frac{v_0 \sin \theta}{g} \)
B. \( t = \frac{v_0 \cos \theta}{g} \)
C. \( t = \frac{v_0 \sin \theta}{g} \)
D. \( t = \frac{v_0 \cos \theta}{g} \)

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Help others prepare! Share this practice hub: