POST UTME REDEEMERS UNIVERSITY 2017 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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. 30°
C. 40°
D. 50°
Question 2
A 100 W bulb is connected to a 220 V AC supply. What is the current drawn by the bulb?
A. 0.4 A
B. 0.5 A
C. 0.6 A
D. 0.7 A
Question 3
A fluid of density $\rho$ and vis\cosity $\mu$ flows through a pipe of radius $r$ and length $L$. If the fluid is subjected to a pressure difference $\Delta P$ between the two \ends of the pipe, determine the volume flow rate $Q$ of the fluid.
A. Q = \frac{\pi r^4 \Delta P}{8 \mu L}
B. Q = \frac{\pi r^4 \Delta P}{4 \mu L}
C. Q = \frac{\pi r^4 \Delta P}{16 \mu L}
D. Q = \frac{\pi r^4 \Delta P}{32 \mu L}
Question 4
A particle of mass $m$ is confined to a one-dimensional box of length $L$. The ground state wave function of the particle is given by $psi_1(x) = \sqrt{\frac{2}{L}} \sinleft\( \frac{pi x}{L}\right \)$. What is the probability of finding the particle in the region $0 < x < \frac{L}{4}$?
A. 0.25
B. 0.5
C. 0.75
D. 1.0
Question 5
A capacitor consists of two parallel plates, each of area 0.04 m^2, separated by a dis\tance of 0.02 m. The capaci\tance of the capacitor is
A. 1.77 \times 10^{-11} F
B. 1.77 \times 10^{-10} F
C. 1.77 \times 10^{-9} F
D. 1.77 \times 10^{-8} F
Question 6
A ray of light passes from air into a glass block of re\fractive index 1.5. If the angle of incidence is 30°, what is the angle of re\fraction?
A. 18.43°
B. 20°
C. 22.62°
D. 30°
Question 7
A gas is contained in a cylinder of volume $V$ at a temperature $T$. If the pressure of the gas is $P$, what is the work done by the gas when it expands to a volume of $2V$?
A. \frac{P\( V - 2V \)}{2}
B. \frac{P\( V + 2V \)}{2}
C. \frac{P\( V - V \)}{2}
D. \frac{P\( V + V \)}{2}
Question 8
A solid cylindrical block of wood with radius 0.05 m and height 0.2 m is floating in water. If the density of the wood is 600 kg/m³ and the density of water is 1000 kg/m³, what is the volume of the wood block that is submerged?
A. 0.01 m³
B. 0.02 m³
C. 0.03 m³
D. 0.04 m³
Question 9
A thermodynamic system undergoes a cyclic process, returning to its initial state. If the system absorbs $Q_1$ and $Q_2$ amounts of heat during the first and second parts of the cycle, respectively, and releases $W_1$ and $W_2$ amounts of work during the first and second parts of the cycle, respectively, determine the change in internal energy $\Delta U$ of the system.
A. \Delta U = Q_1 - W_1 = Q_2 - W_2
B. \Delta U = Q_1 + W_1 = Q_2 + W_2
C. \Delta U = Q_1 - W_2 = Q_2 - W_1
D. \Delta U = Q_1 + W_2 = Q_2 + W_1
Question 10
A simple harmonic motion has a maximum displacement of 2 m and a frequency of 3 Hz. What is the angular frequency?
A. 18.85 rad/s
B. 20 rad/s
C. 22.62 rad/s
D. 30 rad/s
Question 11
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. What is the magnitude of the centripetal acceleration?
A. 4 m/s^2
B. 8 m/s^2
C. \frac{16}{3} m/s^2
D. 16 m/s^2
Question 12
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. 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 13
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. Calculate the magnitude of the centripetal acceleration of the particle.
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 14
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 is subject to a uniform gravitational field of strength $g$, determine 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^2}
D. t = \frac{v_0 \cos \theta}{g^2}
Question 15
A point charge $q$ is placed at the center of a spherical shell of radius $R$. If the electric field at a dis\tance $r$ from the center of the shell is $E$, what is the electric field at a dis\tance $2R$ from the center of the shell?
A. \frac{kq}{(2R)^2}
B. \frac{kq}{R^2}
C. \frac{kq}{\( R + 2R \)^2}
D. \frac{kq}{\( R - 2R \)^2}

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