POST UTME MADONNA UNIVERSITY 2018 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A heat engine operates between 500 K and 300 K. If the efficiency is 30%, what is the maximum work output?
A. 500 J
B. 750 J
C. 1000 J
D. 1500 J
Question 2
A simple harmonic motion has a period of 2 s and an amplitude of 0.5 m. What is the angular frequency of the motion?
A. 1.0 rad/s
B. 2.0 rad/s
C. 3.0 rad/s
D. 4.0 rad/s
Question 3
A gas is heated from 100°C to 200°C. If the initial volume is 10 L, what is the final volume?
A. 5 L
B. 10 L
C. 20 L
D. 40 L
Question 4
A block of mass $M$ is placed on a frictionless surface and connected to a spring with spring cons\tant $k$. The block is then displaced from its equilibrium position by a dis\tance $x_0$ and released from rest. Assuming the motion is simple harmonic, find the force exerted by the spring on the block as a function of time $t$.
A. F = -kx = -kA\cos\omega t
B. F = -kx = kA\sin\omega t
C. F = -kx = kA\cos\omega t
D. F = -kx = -kA\sin\omega t
Question 5
A heat engine operates between two temperatures $T_1$ and $T_2$, where $T_1 > T_2$. The efficiency of the engine is given by $\eta = 1 - \frac{T_2}{T_1}$. What is the maximum possible efficiency of the engine?
A. 1 - \frac{T_2}{T_1}
B. \frac{T_1 - T_2}{T_1}
C. \frac{T_2 - T_1}{T_2}
D. \frac{T_1}{T_2}
Question 6
A particle of mass m is moving in a circular path of radius r with a cons\tant speed v. What is the magnitude of the force acting on the particle?
A. \frac{mv}{r}
B. \frac{mv^2}{r}
C. \frac{mv^3}{r}
D. \frac{mv^4}{r}
Question 7
A light ray passes from air into a glass slab of thickness 5 cm. If the angle of incidence is 30°, what is the angle of re\fraction?
A. 20°
B. 25°
C. 30°
D. 35°
Question 8
A parallel plate capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 12 V. What is the energy stored in the capacitor?
A. 0.72 J
B. 1.44 J
C. 2.16 J
D. 3.36 J
Question 9
A magnetic field of 0.5 T is applied to a current-carrying wire. If the current is 2 A, what is the force on the wire?
A. 0.5 N
B. 1.0 N
C. 1.5 N
D. 2.0 N
Question 10
A \tank of water is filled to a height $h$ and has a radius $R$. A small hole of radius $r$ is drilled at the bottom of the \tank. Assuming the water flows out of the hole with a speed $v$ and neglecting air resis\tance, find the rate at which the water level falls.
A. \frac{dh}{dt} = -\frac{r^2 v}{\pi R^2 h}
B. \frac{dh}{dt} = -\frac{v}{\pi R^2 h}
C. \frac{dh}{dt} = -\frac{r^2 v}{\pi R^2}
D. \frac{dh}{dt} = -\frac{v}{\pi R^2}
Question 11
A thermodynamic system undergoes a process from state A to state B. The initial temperature is 300 K and the final temperature is 400 K. If the system does 200 J of work, what is the change in internal energy?
A. -200 J
B. -100 J
C. 0 J
D. 100 J
Question 12
A wire of length $L$ and cross-sectional area $A$ is stretched between two fixed points. The tension in the wire is $T$. Assuming the wire is uniform and neglecting the effects of gravity, find the speed of a transverse wave propagating along the wire.
A. v = \sqrt{\frac{T}{\rho A}}
B. v = \sqrt{\frac{\rho A}{T}}
C. v = \sqrt{\frac{A}{\rho T}}
D. v = \sqrt{\frac{\rho}{A T}}
Question 13
A convex lens of focal length $f$ is placed in a beam of light. The object dis\tance is $u$ and the image dis\tance is $v$. What is the magnification of the lens?
A. \frac{f}{u}
B. \frac{u}{f}
C. \frac{v}{u}
D. \frac{f}{v}
Question 14
A convex lens of focal length 10 cm forms an image of a 5 cm object at a dis\tance of 15 cm. What is the magnification?
A. 1
B. 2
C. 3
D. 4
Question 15
A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. What is the magnitude of the centripetal acceleration?
A. \frac{v^2}{r}
B. \frac{r}{v}
C. \frac{v}{r}
D. \frac{r^2}{v}

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