POST UTME PAN-ATLANTIC UNIVERSITY 2022 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A 100 Ω resistor is connected in series with a 20 V battery. If the current through the circuit is 0.5 A, what is the power dissipated by the resistor?
A. 10 W
B. 20 W
C. 30 W
D. 40 W
Question 2
A block of mass 5 kg is attached to a horizontal spring with a force cons\tant of 200 N/m. If the block is displaced by 2 m from its equilibrium position and released from rest, what is the maximum speed of the block?
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 3
A wave with a frequency of 200 Hz and a wavelength of 0.5 m is traveling through a medium with a speed of 400 m/s. What is the amplitude of the wave?
A. 0.1 m
B. 0.2 m
C. 0.3 m
D. 0.4 m
Question 4
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\( \frac{npi x}{L}\right \)). What is the expectation value of the position operator in this state?
A. \frac{L}{2}
B. \frac{L}{4}
C. \frac{3L}{4}
D. \frac{L}{3}
Question 5
A particle of mass 0.5 kg is moving in a circular path of radius 2 m with a cons\tant speed of 4 m/s. What is the magnitude of the centripetal force acting on the particle?
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 6
A sound wave with frequency 200 Hz has a speed of 340 m/s. Calculate the wavelength of the wave.
A. 1.7 m
B. 1.8 m
C. 1.9 m
D. 2 m
Question 7
A 5 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. The block is displaced by 2 m from its equilibrium position and released from rest. What is the maximum speed of the block?
A. 10 m/s
B. 20 m/s
C. 30 m/s
D. 40 m/s
Question 8
A convex lens of focal length 20 cm forms an image of an object placed 30 cm away. Calculate the magnification of the image.
A. 0.5
B. 1
C. 2
D. 3
Question 9
A ray of light passes from air into a glass of re\fractive index $1.5$. If the angle of incidence is $30^\circ$, what is the angle of re\fraction?
A. 20^\circ
B. 30^\circ
C. 40^\circ
D. 50^\circ
Question 10
A beam of light passes from air into a glass of re\fractive index μ. The angle of incidence is θ. Calculate the angle of re\fraction.
A. θ/μ
B. μθ
C. θ + μ
D. μ - θ
Question 11
A radioactive sample emits \alpha particles with a half-life of 5 days. If the initial activity is 100 Bq, calculate the activity after 10 days.
A. 12.5 Bq
B. 25 Bq
C. 50 Bq
D. 100 Bq
Question 12
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. What is the maximum height reached by the projectile?
A. 10 m
B. 15 m
C. 20 m
D. 25 m
Question 13
A radioactive sample has an initial activity of 100 Bq. If the half-life of the sample is 2 days, what is the activity of the sample after 4 days?
A. 12.5 Bq
B. 25 Bq
C. 37.5 Bq
D. 50 Bq
Question 14
A magnetic field of 0.5 T is applied to a coil of wire with 100 turns and a radius of 0.2 m. If the coil is rotating at a frequency of 50 Hz, what is the induced emf?
A. 10 V
B. 20 V
C. 30 V
D. 40 V
Question 15
A parallel plate capacitor has plates of area $A$ and separation $d$. The capacitor is connected to a battery of emf $V$. What is the capaci\tance of the capacitor?
A. \frac{\epsilon_0 A}{d}
B. \frac{\epsilon_0 A}{2d}
C. \frac{2\epsilon_0 A}{d}
D. \frac{\epsilon_0 A}{3d}

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: