POST UTME OAU 2021 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A 5.0 kg block is moving at a speed of 2.0 m/s. Determine the kinetic energy of the block.
A. 10 J
B. 20 J
C. 50 J
D. 100 J
Question 2
A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. If the particle is subject to a centripetal force $F_c = \frac{mv^2}{r}$, what is the magnitude of the acceleration of the particle?
A. \frac{v^2}{r}
B. \frac{mv^2}{r^2}
C. \frac{mv^2}{r}
D. \frac{v^3}{r}
Question 3
A 100 W light bulb is connected to a 120 V power source. Determine the current flowing through the bulb.
A. 0.50 A
B. 1.00 A
C. 2.00 A
D. 4.00 A
Question 4
A particle of mass 1 kg is moving in a potential energy function given by U(x) = \( 1/2 \)x^2 + 3x. Find the force acting on the particle at x = 2 m.
A. 2 N
B. 4 N
C. 6 N
D. 8 N
Question 5
A block of mass 5 kg is attached to a horizontal, massless spring with a force cons\tant of 200 N/m. The block is displaced by 0.2 m from its equilibrium position and released from rest. Assuming the block undergoes simple harmonic motion, calculate the maximum speed of the block.
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 6
A heat engine operates between two temperatures $T_1$ and $T_2$, where $T_1 > T_2$. The engine produces 100 J of work per cycle. If the engine is 30% efficient, what is the total heat input per cycle?
A. \( 300 \text{ J} \)
B. \( 400 \text{ J} \)
C. \( 500 \text{ J} \)
D. \( 600 \text{ J} \)
Question 7
A \tank is filled with water to a height of 5 m. If a small hole of area 0.01 m^2 is made at the bottom of the \tank, find the rate at which the water level falls.
A. 0.1 m/s
B. 0.2 m/s
C. 0.3 m/s
D. 0.4 m/s
Question 8
A parallel plate capacitor consists of two plates, each of area 0.10 m^2, separated by a dis\tance of 0.02 m. The capacitor is charged to a potential difference of 10 V. Determine the capaci\tance of the capacitor.
A. 0.50 F
B. 1.00 F
C. 2.00 F
D. 4.00 F
Question 9
A parallel plate capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 20 V. If a dielectric slab of thickness 2 mm and dielectric cons\tant 3 is inserted between the plates, find the new capaci\tance.
A. 15 μF
B. 20 μF
C. 25 μF
D. 30 μF
Question 10
A 2.5 mH inductor is connected in series with a 10 Ω resistor and a 20 V AC source. If the frequency of the source is 50 Hz, calculate the impedance of the circuit.
A. 15 Ω
B. 20 Ω
C. 25 Ω
D. 30 Ω
Question 11
A body of mass 2 kg is moving in a circular path of radius 3 m with a cons\tant speed of 4 m/s. Calculate the force acting on the body.
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 12
A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. If the particle is subject to a centripetal force $F_c = \frac{mv^2}{r}$, what is the magnitude of the acceleration of the particle?
A. \frac{v^2}{r}
B. \frac{mv^2}{r^2}
C. \frac{mv^2}{r}
D. \frac{v^3}{r}
Question 13
A beam of light is incident on a glass plate at an angle of incidence $\theta_i$. If the angle of re\fraction is $\theta_r$, what is the re\fractive index of the glass?
A. \frac{\sin \theta_i}{\sin \theta_r}
B. \frac{\sin \theta_r}{\sin \theta_i}
C. \frac{\cos \theta_i}{\cos \theta_r}
D. \frac{\cos \theta_r}{\cos \theta_i}
Question 14
A particle moves in a circular path with a radius of 2 m and a speed of 4 m/s. Calculate the centripetal acceleration of the particle.
A. 2 m/s^2
B. 4 m/s^2
C. 8 m/s^2
D. 16 m/s^2
Question 15
A particle of mass 2 kg is moving in a circular path of radius 3 m with a speed of 4 m/s. What is the magnitude of the centripetal force?
A. 10 N
B. 20 N
C. 30 N
D. 40 N

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Help others prepare! Share this practice hub: