POST UTME OAU 2022 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A light ray passes from air into a glass of re\fractive index $n=1.5$. If the angle of incidence is $30^\circ$, what is the angle of re\fraction?
A. 20^\circ
B. 25^\circ
C. 30^\circ
D. 35^\circ
Question 2
A gas is contained in a cylinder with a movable piston. If the gas is heated, the piston moves and the volume of the gas increases. Assuming the gas is ideal, find the change in internal energy of the gas.
A. nC_v\Delta T
B. nC_p\Delta T
C. nR\Delta T
D. nC_v\Delta V
Question 3
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 4
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 5
A radioactive sample has a half-life of $T_{1/2}$. If the initial activity is $A_0$, find the activity after a time $t$.
A. A_0 \left\( \frac{1}{2}\right \)^{t/T_{1/2}}
B. A_0 \left\( \frac{1}{2}\right \)^{T_{1/2}/t}
C. A_0 \left\( \frac{1}{2}\right \)^{t/T_{1/2}} + A_0
D. A_0 \left\( \frac{1}{2}\right \)^{T_{1/2}/t}
Question 6
A ray of light passes through a prism and is re\fracted. The angle of incidence is 30°, and the angle of re\fraction is 20°. What is the angle of deviation?
A. 40°
B. 50°
C. 60°
D. 70°
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 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 9
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 10
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 11
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 12
A gas is confined to a cylinder of volume $V$ and is heated from an initial temperature $T_1$ to a final temperature $T_2$. If the gas is ideal, what is the ratio of the final volume to the initial volume?
A. 1
B. T_2/T_1
C. V_2/V_1
D. n_2/n_1
Question 13
A 5 kg block is attached to a horizontal spring with a spring cons\tant of 100 N/m. If the block is displaced by 2 m from its equilibrium position, calculate the potential energy stored in the spring.
A. 100 J
B. 200 J
C. 500 J
D. 1000 J
Question 14
A body of mass 5 kg is moving with a velocity of 10 m/s. What is its kinetic energy?
A. 50 J
B. 100 J
C. 150 J
D. 200 J
Question 15
A particle of mass $m$ is attached to a spring with spring cons\tant $k$. The particle is displaced from its equilibrium position by a dis\tance $x_0$ and released from rest. Assuming the motion is simple harmonic, find the angular frequency of the oscillations.
A. \sqrt{\frac{k}{m}}
B. \frac{k}{m}
C. \frac{m}{k}
D. \frac{1}{\sqrt{mk}}

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