POST UTME RHEMA UNIVERSITY 2024 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A sound wave has a frequency of $200 Hz$ and a wavelength of $1.5 m$. What is the speed of the sound wave?
A. $300 m/s$
B. $400 m/s$
C. $500 m/s$
D. $600 m/s$
Question 2
A light ray passes from air into a glass block with a re\fractive index of 1.5. If the angle of incidence is 30°, what is the angle of re\fraction?
A. 20°
B. 25°
C. 30°
D. 35°
Question 3
A magnetic field is produced by a current-carrying wire. If the current is $5 A$ and the wire is $2 m$ long, what is the magnetic field strength at a dis\tance of $1 m$ from the wire?
A. $0.1 T$
B. $0.2 T$
C. $0.3 T$
D. $0.4 T$
Question 4
A body of mass 5 kg is moving with a velocity of 10 m/s. If the body is subjected to a force of 20 N, calculate 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 5
A 5.0 μC point charge is placed at the center of a spherical conductor of radius 0.050 m. What is the electric potential at a point 0.050 m from the center of the sphere?
A. 0 V
B. 1.0 x 10^3 V
C. 2.0 x 10^3 V
D. 3.0 x 10^3 V
Question 6
A 2.0 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. The block is displaced by 0.050 m from its equilibrium position and released from rest. What is the frequency of the resulting simple harmonic motion?
A. 0.50 Hz
B. 1.0 Hz
C. 1.5 Hz
D. 2.0 Hz
Question 7
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. If the particle is subjected to a centripetal acceleration of 2 m/s^2, what is the magnitude of the force acting on the particle?
A. 6 N
B. 8 N
C. 10 N
D. 12 N
Question 8
A solid cylinder of radius $R$ and height $H$ is floating in a liquid of density $\rho_l$. The cylinder is partially submerged in the liquid, with the height of the submerged portion being $h$. If the density of the cylinder is $\rho_c$, what is the pressure at the bottom of the submerged portion of the cylinder?
A. $\rho_l g h$
B. $\rho_l g \( H - h \)$
C. $\rho_c g \( H - h \)$
D. $\rho_l g \( H - h \) + \rho_c g h$
Question 9
A magnetic field of magnitude $B$ is directed perp\endicular to the plane of a circular loop of radius $r$. The loop has a resis\tance of $R$ and an induc\tance of $L$. What is the time cons\tant of the loop?
A. \frac{L}{R}
B. \frac{R}{L}
C. \frac{L^2}{R}
D. \frac{R^2}{L}
Question 10
A light ray passes through a convex lens with a focal length of $f = 20 cm$. The object dis\tance is $u = 30 cm$. What is the image dis\tance?
A. ( 10 cm )
B. ( 20 cm )
C. ( 30 cm )
D. ( 40 cm )
Question 11
A gas is heated from 20°C to 80°C at cons\tant volume. If the initial pressure is 1 atm, what is the final pressure?
A. 1.33 atm
B. 1.5 atm
C. 1.67 atm
D. 2 atm
Question 12
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 probability density of finding the particle in the region $0 leq x leq L/2$?
A. \( \frac{1}{L} \)
B. \( \frac{2}{L} \)
C. \( \frac{4}{L} \)
D. \( \frac{8}{L} \)
Question 13
A block of mass 5 kg is placed on a frictionless surface and a horizontal force of 10 N is applied to it. What is the acceleration of the block?
A. 0.5 m/s^2
B. 1 m/s^2
C. 2 m/s^2
D. 5 m/s^2
Question 14
A ray of light passes from air into a glass block with a re\fractive index of $n = 1.5$. The angle of incidence is $30^circ$. What is the angle of re\fraction?
A. \( 20^circ \)
B. \( 30^circ \)
C. \( 45^circ \)
D. \( 60^circ \)
Question 15
A nucleus of mass number $A$ and atomic number $Z$ undergoes \beta decay. What is the energy released in the decay?
A. \frac{m_n - m_p - m_e}{A}c^2
B. \frac{m_n - m_p}{A}c^2
C. \frac{m_p - m_e}{A}c^2
D. \frac{m_n - m_e}{A}c^2

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