POST UTME KSU 2023 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A block of mass 5 kg is attached to a spring of spring cons\tant 100 N/m. If the block is displaced by 2 m from its equilibrium position and released, what is the maximum kinetic energy of the block?
A. 10 J
B. 20 J
C. 30 J
D. 40 J
Question 2
A particle has a wave function given by \psi(x) = Ae^{ikx}. What is the probability density of the particle?
A. |A|^2e^{-2kx}
B. |A|^2e^{2kx}
C. |A|^2
D. |A|^2e^{ikx}
Question 3
A 10 kg block is moving in a circular path with a cons\tant speed of 5 m/s. The block is subject to a centripetal force of 20 N. What is the radius of the circular path?
A. \( r = \frac{v^2}{F_c} \)
B. \( r = \frac{F_c}{m} \)
C. \( r = \frac{m v^2}{F_c} \)
D. \( r = \frac{F_c}{m v^2} \)
Question 4
A block of mass 5 kg is attached to a horizontal spring with a spring cons\tant of 100 N/m. If the block is displaced by 0.2 m from its equilibrium position and released from rest, what is the maximum speed of the block?
A. 0.5 m/s
B. 1 m/s
C. 2 m/s
D. 5 m/s
Question 5
A 100 W light bulb is connected to a 220 V power source. 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 6
A projectile is launched from the origin with an initial velocity $v_0$ at an angle $\theta$ to the horizontal. If air resis\tance is negligible, what is the maximum height reached?
A. h_{max} = \frac{v_0^2\cos^2\theta}{2g}
B. h_{max} = \frac{v_0^2\sin^2\theta}{2g}
C. h_{max} = \frac{v_0^2\cos^2\theta}{g}
D. h_{max} = \frac{v_0^2\sin^2\theta}{g}
Question 7
A 100 W light bulb is connected to a 230 V AC source. 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 8
A light ray passes from air into a glass slab of thickness $t$ and re\fractive index $mu$. If the angle of incidence is $i$, what is the angle of re\fraction $r$?
A. \frac{\sin i}{\sin r} = \frac{1}{\mu}
B. \frac{\sin i}{\sin r} = \frac{\mu}{1}
C. \frac{\sin i}{\sin r} = \frac{1}{\mu^2}
D. \frac{\sin i}{\sin r} = \frac{\mu^2}{1}
Question 9
A gas is heated from 300 K to 400 K 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. 2 atm
D. 3 atm
Question 10
A solid sphere of radius 5 cm and mass 0.5 kg is floating in a liquid of density 0.8 g/cm^3. What is the pressure exerted by the liquid on the sphere?
A. 0.2 N/cm^2
B. 0.4 N/cm^2
C. 0.6 N/cm^2
D. 0.8 N/cm^2
Question 11
A gas expands from an initial volume of 0.1 m^3 to a final volume of 0.5 m^3 at a cons\tant temperature of 300 K. What is the work done by the gas?
A. \( W = P Delta V \)
B. \( W = \frac{P Delta V}{T} \)
C. \( W = P V Delta T \)
D. \( W = \frac{P V Delta T}{T} \)
Question 12
A 5 kg block is moving on a rough horizontal surface with a cons\tant acceleration of 2 m/s². If the coefficient of kinetic friction is 0.2, what is the force of friction acting on the block?
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 13
A 2 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. The block is displaced by 0.2 m from its equilibrium position and released from rest. What is the angular frequency of the resulting simple harmonic motion?
A. \( \sqrt{\frac{100 , \text{N/m}}{2 , \text{kg}}} \)
B. \( \sqrt{\frac{100 , \text{N/m}}{0.2 , \text{m}}} \)
C. \( \sqrt{\frac{100 , \text{N/m}}{0.1 , \text{m}}} \)
D. \( \sqrt{\frac{100 , \text{N/m}}{0.5 , \text{m}}} \)
Question 14
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 experiences a centripetal force of 12 N, what is the magnitude of the net force acting on the particle?
A. 16 N
B. 20 N
C. 24 N
D. 28 N
Question 15
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. \( \frac{2 \times 10^{-6} , \text{C}}{8.854 \times 10^{-12} , \text{F/m}} \)
B. \( \frac{2 \times 10^{-6} , \text{C}}{4.427 \times 10^{-12} , \text{F/m}} \)
C. \( \frac{2 \times 10^{-6} , \text{C}}{17.652 \times 10^{-12} , \text{F/m}} \)
D. \( \frac{2 \times 10^{-6} , \text{C}}{35.304 \times 10^{-12} , \text{F/m}} \)

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