POST UTME WELLSPRING UNIVERSITY 2023 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A gas is compressed from an initial volume of 2.0 m³ to a final volume of 1.0 m³ at a cons\tant temperature. If the initial pressure is 1.0 atm, what is the final pressure?
A. \( P_2 = 2.0 , \text{atm} \)
B. \( P_2 = 1.5 , \text{atm} \)
C. \( P_2 = 1.0 , \text{atm} \)
D. \( P_2 = 0.5 , \text{atm} \)
Question 2
A gas expands from 1 L to 2 L against a cons\tant external pressure of 2 atm. If the initial temperature is 300 K, calculate the final temperature.
A. 250 K
B. 300 K
C. 350 K
D. 400 K
Question 3
A simple harmonic motion has a period of 2.0 s and an amplitude of 0.50 m. If the motion starts from its equilibrium position, what is the maximum acceleration of the particle?
A. \( a_{\text{max}} = 0.25 , \text{m/s}^2 \)
B. \( a_{\text{max}} = 0.50 , \text{m/s}^2 \)
C. \( a_{\text{max}} = 1.0 , \text{m/s}^2 \)
D. \( a_{\text{max}} = 2.0 , \text{m/s}^2 \)
Question 4
A convex lens of focal length $f$ forms an image of an object at a dis\tance $u$ from the lens. If the image is real and inverted, what is the magnification of the lens?
A. -\frac{f}{u}
B. \frac{f}{u}
C. -\frac{u}{f}
D. \frac{u}{f}
Question 5
A particle of mass $m$ is moving in a circular path of radius $r$ under the influence of a centripetal force $F_c$. If the particle's velocity is increased by a factor of 2, what is the new centripetal force required to maintain the circular path?
A. \( F_c = \frac{mv^2}{r} \)
B. \( F_c = \frac{2mv^2}{r} \)
C. \( F_c = \frac{mv^2}{2r} \)
D. \( F_c = \frac{mv^2}{4r} \)
Question 6
A heat engine operates between two reservoirs at temperatures $T_1$ and $T_2$, with $T_1 > T_2$. If the engine absorbs heat $Q_1$ from the high-temperature reservoir and rejects heat $Q_2$ to the low-temperature reservoir, what is the efficiency of the engine?
A. \eta = 1 - \frac{T_2}{T_1}
B. \eta = 1 + \frac{T_2}{T_1}
C. \eta = \frac{T_2}{T_1}
D. \eta = 1 - \frac{T_1}{T_2}
Question 7
A 2 kg block is moving with a velocity of 3 m/s. Determine the kinetic energy of the block.
A. 3 J
B. 6 J
C. 9 J
D. 12 J
Question 8
A block of mass 5 kg is placed on a frictionless surface and attached to a spring with a spring cons\tant of 200 N/m. The block is displaced by 0.5 m from its equilibrium position and given an initial velocity of 2 m/s. Assuming the motion is simple harmonic, calculate the maximum displacement of the block.
A. 0.1 m
B. 0.2 m
C. 0.3 m
D. 0.4 m
Question 9
A charged particle of mass $m$ and charge $q$ is moving in a uniform magnetic field of strength $B$ with an initial velocity $v_0$ perp\endicular to the magnetic field. If the particle is deflected by an angle $\theta$ from its initial direction, what is the magnitude of the magnetic field?
A. B = \frac{mv_0 \sin \theta}{q}
B. B = \frac{mv_0 \cos \theta}{q}
C. B = \frac{mv_0 \sin \theta}{2q}
D. B = \frac{mv_0 \cos \theta}{2q}
Question 10
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 force of 12 N, what is the magnitude of the acceleration of the particle?
A. 10 m/s^2
B. 12 m/s^2
C. 15 m/s^2
D. 20 m/s^2
Question 11
A radioactive sample has a half-life of 10 years. If the initial activity is 100 Bq, calculate the activity after 20 years.
A. 12.5 Bq
B. 25 Bq
C. 50 Bq
D. 100 Bq
Question 12
A particle of mass 0.5 kg is attached to a spring with spring cons\tant 100 N/m. If the particle is displaced by 0.2 m from its equilibrium position and released, calculate the maximum speed of the particle.
A. 0.5 m/s
B. 1 m/s
C. 1.5 m/s
D. 2 m/s
Question 13
A particle of mass 1 kg is moving in a straight line with a velocity of 5 m/s. If the particle is subjected to a force of 10 N, what is the acceleration of the particle?
A. 2 m/s^2
B. 5 m/s^2
C. 10 m/s^2
D. 15 m/s^2
Question 14
A spring of force cons\tant 100 N/m is stretched by 0.2 m. Calculate the work done in stretching the spring.
A. 2 J
B. 4 J
C. 6 J
D. 8 J
Question 15
A solid sphere of radius 5 cm and mass 0.5 kg is submerged in a liquid of density 0.8 g/cm³. Calculate the buoyant force acting on the sphere.
A. 0.2 N
B. 0.4 N
C. 0.6 N
D. 0.8 N

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