POST UTME RHEMA UNIVERSITY 2024 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A particle of mass 2 kg is moving in a circular path with a cons\tant speed of 4 m/s. If the radius of the circular path is 3 m, calculate the magnitude of the centripetal acceleration.
A. 8 m/s^2
B. 12 m/s^2
C. 16 m/s^2
D. 20 m/s^2
Question 2
A 10 μF capacitor is connected in series with a 20 Ω resistor and a 5 V battery. Calculate the time cons\tant of the circuit.
A. 0.1 s
B. 0.2 s
C. 0.5 s
D. 1 s
Question 3
A charged particle moves through a uniform magnetic field. If the particle has a charge of +2e and a velocity of 5 × 10^6 m/s, and the magnetic field has a strength of 0.5 T, what is the radius of the circular path?
A. 1.25 × 10^-3 m
B. 2.5 × 10^-3 m
C. 5.0 × 10^-3 m
D. 10.0 × 10^-3 m
Question 4
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 5
A light ray passes through a prism of re\fractive index $n$ and is deviated by an angle $\theta$. What is the angle of emergence?
A. \arc\sin\left\( \frac{n}{n_0}\sin\theta_i\right \)
B. \arc\cos\left\( \frac{n}{n_0}\sin\theta_i\right \)
C. \arc\tan\left\( \frac{n}{n_0}\sin\theta_i\right \)
D. \arc\sin\left\( \frac{n_0}{n}\sin\theta_i\right \)
Question 6
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 7
A heat engine operates between the temperatures $T_1 = 500 K$ and $T_2 = 300 K$. If the engine has an efficiency of $40%$, what is the temperature of the hot reservoir?
A. $500 K$
B. $600 K$
C. $700 K$
D. $800 K$
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 uniform electric field of magnitude 3.0 x 10^3 N/C is directed along the x-axis. A point charge of 2.0 x 10^-6 C is placed at the origin. What is the magnitude of the electric potential at a point 0.050 m along the x-axis?
A. 1.5 x 10^3 V
B. 3.0 x 10^3 V
C. 4.5 x 10^3 V
D. 6.0 x 10^3 V
Question 10
A simple harmonic motion has a maximum displacement of 5 cm and a period of 2 s. What is the angular frequency?
A. 1.57 rad/s
B. 3.14 rad/s
C. 6.28 rad/s
D. 12.56 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. 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 12
A 5.0 μC point charge is placed at the center of a spherical conductor of radius 0.050 m. What is the electric field at a point 0.050 m from the center of the sphere?
A. 0 N/C
B. 1.0 x 10^3 N/C
C. 2.0 x 10^3 N/C
D. 3.0 x 10^3 N/C
Question 13
A capacitor consists of two parallel plates, each of area 0.1 m^2, separated by a dis\tance of 0.01 m. The plates are charged to a potential difference of 10 V. What is the capaci\tance of the capacitor?
A. 0.1 F
B. 0.2 F
C. 0.5 F
D. 1 F
Question 14
A 100 Ω resistor is connected in parallel with a 200 Ω resistor. Calculate the equivalent resis\tance of the circuit.
A. 50 Ω
B. 66.67 Ω
C. 100 Ω
D. 200 Ω
Question 15
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 speed of the block when it passes through its equilibrium position?
A. 0.50 m/s
B. 1.0 m/s
C. 1.5 m/s
D. 2.0 m/s

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