POST UTME COVENANT UNIVERSITY 2024 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A 10 μF capacitor is connected in series with a 5 kΩ resistor and a 20 V battery. If the capacitor is initially uncharged, what is the time cons\tant of the circuit?
A. 0.1 s
B. 0.2 s
C. 0.5 s
D. 1 s
Question 2
A particle of mass $m$ is confined to a one-dimensional box of length $L$. If the energy of the particle is $E$, what is the wavelength of the particle?
A. $\lambda = \frac{2\pi \hbar}{\sqrt{2mE}}$
B. $\lambda = \frac{2\pi \hbar}{\sqrt{2mE}}$
C. $\lambda = \frac{2\pi \hbar}{\sqrt{2mE}}$
D. $\lambda = \frac{2\pi \hbar}{\sqrt{2mE}}$
Question 3
A force of 10 N is applied to an object of mass 2 kg. What is the acceleration of the object?
A. 2 m/s^2
B. 4 m/s^2
C. 5 m/s^2
D. 10 m/s^2
Question 4
A particle of mass 2 kg is moving in a circular path of radius 3 m with a cons\tant speed of 6 m/s. What is the magnitude of the centripetal acceleration?
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 5
A body is moving in a circular path with a cons\tant speed of 4 m/s. If the radius of the circle is 2 m, calculate the centripetal 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 6
A body is moving in a circular path with a cons\tant speed of 3 m/s. If the radius of the circle is 1.5 m, calculate the centripetal acceleration of the body.
A. 1 m/s^2
B. 2 m/s^2
C. 3 m/s^2
D. 4 m/s^2
Question 7
A coil of wire with 100 turns is placed in a magnetic field of strength 0.5 T. If the current in the coil is 2 A, what is the magnitude of the torque experienced by the coil?
A. 0.1 Nm
B. 0.2 Nm
C. 0.5 Nm
D. 1 Nm
Question 8
A 5 kΩ resistor is connected in series with a 10 μF capacitor and a 20 V battery. If the capacitor is initially uncharged, what is the time cons\tant of the circuit?
A. 0.1 s
B. 0.2 s
C. 0.5 s
D. 1 s
Question 9
A block of mass 5 kg is attached to a horizontal spring with a force 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. 10 J
B. 20 J
C. 50 J
D. 100 J
Question 10
A nucleus of mass number $A$ and atomic number $Z$ undergoes \beta decay. If the energy released is $Q$, what is the relationship between $Q$ and the masses of the parent and daughter nuclei?
A. $Q = \( m_{parent} - m_{daughter} \)c^2$
B. $Q = \( m_{daughter} - m_{parent} \)c^2$
C. $Q = \( m_{parent} + m_{daughter} \)c^2$
D. $Q = \( m_{parent} - m_{daughter} \)c^2$
Question 11
A block of mass 8 kg is moving in a straight line with a speed of 4 m/s. If a force of 15 N is applied to the block, calculate the acceleration of the block.
A. 1 m/s^2
B. 2 m/s^2
C. 3 m/s^2
D. 4 m/s^2
Question 12
A heat engine operates between the temperatures 300 K and 600 K. The efficiency of the engine is
A. 0.25
B. 0.33
C. 0.4
D. 0.5
Question 13
A photon of energy 2 eV is incident on a metal surface with a work function of 1.5 eV. What is the maximum kinetic energy of the emitted electron?
A. 0.5 eV
B. 1 eV
C. 1.5 eV
D. 2 eV
Question 14
A point charge of +2 μC is placed at the center of a hollow, conducting sphere of radius 0.1 m. What is the electric flux through the surface of the sphere?
A. 0 Nm^2/C
B. 2π × 10^\( -8 \) Nm^2/C
C. 4π × 10^\( -8 \) Nm^2/C
D. 6π × 10^\( -8 \) Nm^2/C
Question 15
A car of mass 1500 kg is traveling at a speed of 25 m/s. What is the kinetic energy of the car?
A. 46875 J
B. 93750 J
C. 156250 J
D. 187500 J

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