POST UTME ACHIEVERS UNIVERSITY 2018 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A circuit consists of a 12 V battery, a 4 Ω resistor, and an inductor of induc\tance $L = 2$ H. The circuit is connected to a switch that is closed at time $t = 0$. What is the current in the circuit at time $t = 1$ s?
A. 3 A
B. 2 A
C. 1 A
D. 4 A
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. The particle is subject to a centripetal force of 12 N. What is the angular velocity of the particle?
A. 2 rad/s
B. 4 rad/s
C. 6 rad/s
D. 8 rad/s
Question 3
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 potential energy of the particle?
A. 0
B. \frac{n^2\pi^2\hbar^2}{2mL^2}
C. \frac{n^2\pi^2\hbar^2}{mL^2}
D. \frac{n^2\pi^2\hbar^2}{2mL}
Question 4
A 5 kg block is attached to a spring with a spring cons\tant of 100 N/m. If the block is displaced by 0.2 m from its equilibrium position, what is the potential energy stored in the spring?
A. 1 J
B. 2 J
C. 5 J
D. 10 J
Question 5
A light ray passes from air into a glass of re\fractive index 1.5. If the angle of incidence is 30°, what is the angle of re\fraction?
A. 20°
B. 30°
C. 40°
D. 50°
Question 6
A body of mass 5 kg is moving with a velocity of 10 m/s. It is subject to a force of 20 N. What is the acceleration of the body?
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 7
A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. If the particle is subjected to a centripetal force $F_c$, what is the relationship between $F_c$, $m$, $v$, and $r$?
A. \( F_c = \frac{mv^2}{r} \)
B. \( F_c = \frac{mv}{r} \)
C. \( F_c = \frac{m}{v^2r} \)
D. \( F_c = \frac{v^2}{mr} \)
Question 8
A quantum particle of mass $m$ is confined to a one-dimensional box of length $L$. If the particle's energy is $E$, what is the wavelength of the particle?
A. \frac{2\pi\hbar}{\sqrt{2mE}}
B. \frac{2\pi\hbar}{mE}
C. \frac{\sqrt{2mE}}{2\pi\hbar}
D. \frac{mE}{2\pi\hbar}
Question 9
A sound wave with frequency $f$ and amplitude $A$ is propagating through a medium with speed $v$. If the wave is reflected off a rigid surface, what is the frequency of the reflected wave?
A. f
B. 2f
C. \frac{v}{f}
D. \frac{f}{v}
Question 10
A 10 kg block is placed on a frictionless surface. If a force of 20 N is applied to the block, what is the acceleration of the block?
A. 0.2 m/s^2
B. 1 m/s^2
C. 2 m/s^2
D. 5 m/s^2
Question 11
A particle of mass $m$ is moving in a circular orbit of radius $r$ with a speed $v$. What is the centripetal force acting on the particle?
A. \frac{mv^2}{r}
B. \frac{mv}{r}
C. \frac{m}{r}
D. \frac{r}{m}
Question 12
A wave has a frequency of 100 Hz and a wavelength of 0.1 m. What is the speed of the wave?
A. 20 m/s
B. 30 m/s
C. 40 m/s
D. 50 m/s
Question 13
A 50 Ω resistor is connected in parallel with a 20 Ω resistor. What is the equivalent resis\tance of the circuit?
A. 10 Ω
B. 20 Ω
C. 30 Ω
D. 40 Ω
Question 14
A light ray passes from air into a glass slab of re\fractive index 1.5. If the angle of incidence is 30°, what is the angle of re\fraction?
A. 20°
B. 30°
C. 40°
D. 50°
Question 15
A light source is placed 2 m away from a convex lens of focal length 0.5 m. What is the image dis\tance?
A. 1 m
B. 2 m
C. 3 m
D. 4 m

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