POST UTME SUMMIT UNIVERSITY 2019 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A particle of mass m is attached to a spring with spring cons\tant k. The particle is displaced by a dis\tance x from its equilibrium position and released from rest. Assuming the motion is simple harmonic, what is the angular frequency ω?
A. ω = √\( k/m \)
B. ω = √\( m/k \)
C. ω = k/m
D. ω = m/k
Question 2
A gas expands from an initial volume of 2 L to a final volume of 5 L against an external pressure of 2 atm. Calculate the work done by the gas.
A. 10 J
B. 20 J
C. 30 J
D. 40 J
Question 3
A capacitor consists of two parallel plates of area $A$ separated by a dis\tance $d$. The plates are charged to a potential difference $V$. What is the capaci\tance of the capacitor?
A. \frac{\epsilon_0 A}{d}
B. \frac{\epsilon_0 A}{2d}
C. \frac{2\epsilon_0 A}{d}
D. \frac{\epsilon_0 A}{2d^2}
Question 4
A block of mass m is placed on a frictionless surface and attached to a spring with spring cons\tant k. The block is displaced by a dis\tance x from its equilibrium position and released from rest. Assuming the motion is simple harmonic, what is the period T of the motion?
A. T = 2π√\( m/k \)
B. T = 2π√\( k/m \)
C. T = m/k
D. T = k/m
Question 5
A body at temperature 27°C is heated to 127°C. What is the change in entropy?
A. 100 J/K
B. 200 J/K
C. 500 J/K
D. 1000 J/K
Question 6
A parallel plate capacitor consists of two plates of area A, separated by a dis\tance d. The capaci\tance is given by C = ε0A/d. If the area of the plates is doubled and the dis\tance between them is halved, what is the new capaci\tance?
A. C = 4ε0A/d
B. C = 2ε0A/d
C. C = ε0A/d
D. C = ε0A/2d
Question 7
A radioactive subs\tance has a half-life of 5 years. If 100 grams of the subs\tance is initially present, how much will be left after 20 years?
A. 10 g
B. 20 g
C. 30 g
D. 40 g
Question 8
A ray of light passes from air into a glass slab of re\fractive index 1.5. If the angle of incidence is 30°, what is the angle of re\fraction?
A. 20°
B. 25°
C. 30°
D. 35°
Question 9
A body of mass 5 kg is moving in a circular path with a radius of 2 m. If the body is moving at a speed of 4 m/s, what is the centripetal acceleration?
A. 0.5 m/s^2
B. 1.0 m/s^2
C. 2.0 m/s^2
D. 4.0 m/s^2
Question 10
A body of mass 2 kg is moving in a circular path of radius 3 m with a speed of 4 m/s. If the force of friction is 10 N, what is the 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 11
A particle of mass $m$ is confined to a one-dimensional box of length $L$. The wave function of the particle is given by $psi(x) = \sqrt{\frac{2}{L}} \sinleft\( \frac{npi x}{L}\right \)$, where $n$ is a positive integer. What is the expectation value of the position operator for this particle?
A. 0
B. \frac{L}{2}
C. L
D. \frac{n\pi L}{2}
Question 12
A particle of mass $m$ is moving in a circular orbit of radius $r$ with a speed $v$. What is the magnitude of the centripetal force acting on the particle?
A. \frac{mv^2}{r}
B. \frac{m}{r}v^2
C. \frac{r}{mv^2}
D. \frac{mv^2}{r^2}
Question 13
A 100 W light bulb is connected to a 220 V power source. If the resis\tance of the bulb is 10 ohms, what is the current flowing through the bulb?
A. 2 A
B. 4 A
C. 6 A
D. 8 A
Question 14
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. Calculate the maximum height reached by the projectile.
A. 10 m
B. 20 m
C. 30 m
D. 40 m
Question 15
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. What is the maximum height reached by the projectile?
A. 10 m
B. 15 m
C. 20 m
D. 25 m

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