POST UTME OSUSTECH 2019 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A car travels from rest to a speed of 25 m/s in 10 s. What is the average acceleration of the car?
A. 2.5 m/s^2
B. 5 m/s^2
C. 10 m/s^2
D. 15 m/s^2
Question 2
A heat engine operates between two temperatures, 300 K and 400 K. The engine has an efficiency of 30%. What is the temperature of the hot reservoir?
A. 350 K
B. 400 K
C. 450 K
D. 500 K
Question 3
A heat engine operates between two temperatures $T_1$ and $T_2$. The efficiency of the engine is given by \( \frac{W}{Q_1} = 1 - \frac{T_2}{T_1} \). What is the temperature of the hot reservoir?
A. \frac{W}{Q_1}
B. \frac{Q_1}{W}
C. \frac{W}{Q_1} + T_2
D. \frac{W}{Q_1} - T_2
Question 4
A parallel plate capacitor has a capaci\tance of 10 μF. If a potential difference of 5 V is applied across the plates, what is the charge stored on each plate?
A. 50 μC
B. 100 μC
C. 200 μC
D. 500 μC
Question 5
A current of 2 A flows through a resistor of 10 Ω. What is the power dissipated in the resistor?
A. 20 W
B. 40 W
C. 60 W
D. 80 W
Question 6
A gas is contained in a cylinder of volume $V$. If the temperature of the gas is increased by a factor of $k$, what is the new volume?
A. kV
B. \frac{V}{k}
C. V + kV
D. \frac{V}{k^2}
Question 7
A sound wave with frequency $f$ and amplitude $A$ is propagating through a medium with speed $v$. What is the intensity of the sound wave?
A. \frac{1}{2} \rho omega^2 A^2 v
B. \frac{1}{2} \rho omega^2 A^2
C. \frac{1}{2} \rho v^2 A^2
D. \frac{1}{2} \rho v^2 A^2 v
Question 8
A parallel-plate capacitor has a capaci\tance of $C$. If the dis\tance between the plates is increased by a factor of $k$, what is the new capaci\tance?
A. \frac{C}{k}
B. Ck
C. \frac{C}{k^2}
D. C + \frac{C}{k}
Question 9
A uniform magnetic field of magnitude 2 T is directed along the z-axis. A current of 5 A flows through a straight wire of length 0.5 m, placed in the x-y plane. If the wire is perp\endicular to the magnetic field, what is the magnitude of the force exerted on the wire?
A. 0.25 N
B. 0.5 N
C. 1 N
D. 2 N
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. What is the magnitude of the force acting on the particle?
A. 8 N
B. 12 N
C. 16 N
D. 20 N
Question 11
A 10 Ω resistor is connected in series with a 20 Ω resistor and a 30 Ω resistor. The circuit is connected to a 12 V battery. U\sing Kirchhoff's laws, determine the current through the 10 Ω resistor.
A. 0.4 A
B. 0.6 A
C. 0.8 A
D. 1.2 A
Question 12
A particle of mass $m$ is confined to a one-dimensional box of length $L$. If the particle is in the ground state, what is the expectation value of its position?
A. \frac{L}{2}
B. \frac{L}{4}
C. \frac{3L}{4}
D. \frac{L}{3}
Question 13
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. If the acceleration due to gravity is 9.8 m/s², what is the maximum height reached by the projectile?
A. 10 m
B. 20 m
C. 30 m
D. 40 m
Question 14
A block of mass $M$ is placed on a horizontal, frictionless surface. A force $F$ is applied to the block, cau\sing it to accelerate at a rate $a$. What is the force $F$?
A. Ma
B. \frac{1}{2}Ma
C. \frac{1}{4}Ma
D. \frac{1}{3}Ma
Question 15
A magnetic field is produced by a current-carrying wire. The wire is 2 m long and carries a current of 5 A. The magnetic field at a dis\tance of 1 m from the wire is measured to be 0.2 T. What is the direction of the magnetic field?
A. Clockwise
B. Counterclockwise
C. Out of the page
D. Into the page

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