POST UTME OAU 2017 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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/s^2, what is the maximum height reached by the projectile?
A. 10 m
B. 15 m
C. 20 m
D. 25 m
Question 2
A circuit consists of a 10 Ω resistor, a 20 Ω resistor, and a 5 Ω resistor connected in series. If a voltage of 12 V is applied across the circuit, determine the current flowing through the 5 Ω resistor.
A. 0.5 A
B. 1 A
C. 2 A
D. 4 A
Question 3
A gas at 300 K and 1 atm is compressed to 2 atm. What is the new volume of the gas?
A. 0.5 L
B. 1 L
C. 2 L
D. 4 L
Question 4
A parallel plate capacitor consists of two plates, each of area 0.1 m^2, separated by a dis\tance of 0.01 m. The capacitor is charged to a potential difference of 10 V. What is the capaci\tance of the capacitor?
A. 0.1 F
B. 0.2 F
C. 0.3 F
D. 0.4 F
Question 5
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. If the circuit is closed, what is the current flowing through the 4 Ω resistor?
A. 2 A
B. 3 A
C. 4 A
D. 6 A
Question 6
A particle of mass 2 kg is projected from the origin with an initial velocity of 10 m/s at an angle of 60° to the horizontal. What is the time taken for the particle to reach its maximum height?
A. 0.5 s
B. 1 s
C. 1.5 s
D. 2 s
Question 7
A capacitor of 10 μF is connected in series with a resistor of 100 Ω. If a voltage of 10 V is applied across the circuit, what is the time cons\tant of the circuit?
A. 0.01 s
B. 0.1 s
C. 1 s
D. 10 s
Question 8
A 5 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. The block is displaced by 2 m from its equilibrium position and released from rest. What is the maximum speed of the block?
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 9
A circuit consists of a resistor $R$, an inductor $L$, and a capacitor $C$ connected in series. The impedance of the circuit is
A. $Z = \sqrt{R^2 + \( X_L - X_C \)^2}$
B. $Z = \sqrt{R^2 + \( X_L + X_C \)^2}$
C. $Z = \sqrt{R^2 + \( X_L - X_C \)^2 + X_C^2}$
D. $Z = \sqrt{R^2 + \( X_L + X_C \)^2 + X_L^2}$
Question 10
A sound wave with frequency $f$ and amplitude $A$ is described by the equation $y = A \sin (2pi ft)$. The period of the wave is
A. $T = \frac{1}{f}$
B. $T = 2pi f$
C. $T = \frac{1}{2pi f}$
D. $T = \frac{2pi f}{2}$
Question 11
A current of 2 A flows through a resistor of 10 Ω. What is the power dissipated by the resistor?
A. 20 W
B. 40 W
C. 60 W
D. 80 W
Question 12
A wave has a frequency of 20 Hz and a wavelength of 10 m. What is the speed of the wave?
A. 200 m/s
B. 400 m/s
C. 600 m/s
D. 800 m/s
Question 13
A parallel plate capacitor consists of two plates, each of area 0.01 m^2, separated by a dis\tance of 0.001 m. If the capaci\tance is 10 nF, determine the charge stored on the plates when a potential difference of 5 V is applied across them.
A. 50 nC
B. 100 nC
C. 500 nC
D. 1000 nC
Question 14
A particle of mass 1 kg is moving in a circular path of radius 0.5 m with a speed of 2 m/s. If the particle is subject to a centripetal force of 10 N, determine the angular velocity of the particle.
A. 4 rad/s
B. 8 rad/s
C. 16 rad/s
D. 32 rad/s
Question 15
A 200 Ω resistor is connected in series with a 50 mH inductor and a 10 μF capacitor. The circuit is driven by a 100 V, 50 Hz AC source. What is the impedance of the circuit?
A. 250 Ω
B. 300 Ω
C. 350 Ω
D. 400 Ω

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