POST UTME OSUSTECH 2019 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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 2
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 3
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 4
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 5
A capacitor consists of two parallel plates, each of area $A$ and separated by a dis\tance $d$. The capacitor is charged to a potential difference $V$ and then disconnected from the power source. If the dis\tance between the plates is doubled to $2d$, what is the new capaci\tance $C_{new}$?
A. \frac{A\epsilon_0}{2d}
B. \frac{A\epsilon_0}{d}
C. \frac{A\epsilon_0}{4d}
D. \frac{A\epsilon_0}{8d}
Question 6
A sound wave with a frequency of 200 Hz has a maximum displacement of 0.01 m. What is the amplitude of the wave?
A. 0.005 m
B. 0.01 m
C. 0.015 m
D. 0.02 m
Question 7
A particle moves in a circular path with a radius of 0.5 m and a frequency of 5 Hz. What is the angular frequency of the particle?
A. 10 rad/s
B. 20 rad/s
C. 30 rad/s
D. 40 rad/s
Question 8
A light ray 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 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 maximum speed of the block?
A. 0.5 m/s
B. 1 m/s
C. 1.5 m/s
D. 2 m/s
Question 10
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
Question 11
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 2 H inductor in series. What is the inductive reac\tance of the circuit?
A. 10 Ω
B. 20 Ω
C. 30 Ω
D. 40 Ω
Question 12
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 13
A capacitor consists of two parallel plates, each with a surface area of 0.1 m² and separated by a dis\tance of 0.01 m. If the dielectric cons\tant of the material between the plates is 3, what is the capaci\tance?
A. 10 μF
B. 20 μF
C. 30 μF
D. 40 μF
Question 14
A projectile is launched at an angle of $\theta$ above the horizontal. If the initial velocity is $v_0$, what is the maximum height reached by the projectile?
A. \frac{v_0^2 \sin^2 \theta}{2g}
B. \frac{v_0^2 \cos^2 \theta}{2g}
C. \frac{v_0^2 \sin \theta}{2g}
D. \frac{v_0^2 \cos \theta}{2g}
Question 15
A circuit consists of a resistor $R$, an inductor $L$, and a capacitor $C$ connected in series. The impedance of the circuit is given by \( \sqrt{R^2 + \( X_L - X_C \ \)^2}). What is the phase angle of the circuit?
A. \arc\tan \left\( \frac{X_L - X_C}{R} \right \)
B. \arc\tan \left\( \frac{R}{X_L - X_C} \right \)
C. \arc\tan \left\( \frac{X_L + X_C}{R} \right \)
D. \arc\tan \left\( \frac{R}{X_L + X_C} \right \)

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