POST UTME OAU 2020 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A \tank contains 1000 kg of water at a depth of 10 m. Calculate the pressure at the bottom of the \tank.
A. 100 kPa
B. 200 kPa
C. 300 kPa
D. 400 kPa
Question 2
A gas of molecules is contained in a cylinder of volume $V$. The gas is heated, cau\sing the molecules to expand. What is the change in the internal energy of the gas?
A. \( nC_VDelta T \)
B. \( nC_PDelta T \)
C. ( nRDelta T )
D. \( nC_VDelta P \)
Question 3
A wave of frequency $f$ and amplitude $A$ is described by the equation $y = A \sin \( 2\pi ft \)$. If the wave is reflected from a fixed \end, find the equation of the reflected wave.
A. \(y = A \sin \( 2\pi ft + \pi)\ \)
B. \(y = A \sin \( 2\pi ft - \pi)\ \)
C. \(y = A \sin \( 2\pi ft + 2\pi)\ \)
D. \(y = A \sin \( 2\pi ft - 2\pi)\ \)
Question 4
A particle of mass $m$ is projected from the origin with an initial velocity $v_0$ at an angle $\theta$ to the horizontal. If the particle experiences a uniform gravitational field of strength $g$, find the time $t$ at which the particle reaches its maximum height.
A. \(t = \frac{v_0 \sin \theta}{g}\)
B. \(t = \frac{v_0 \cos \theta}{g}\)
C. \(t = \frac{v_0 \sin \theta}{g^2}\)
D. \(t = \frac{v_0 \cos \theta}{g^2}\)
Question 5
A particle of mass $m$ is moving in a circular orbit of radius $R$ with a speed $v$. What is the magnitude of the centripetal force acting on the particle?
A. \( \frac{mv^2}{R} \)
B. \( \frac{mR^2}{v^2} \)
C. \( \frac{mv^2}{R^2} \)
D. \( \frac{mR^2}{v} \)
Question 6
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. 10 N
B. 12 N
C. 15 N
D. 20 N
Question 7
A 10 V battery is connected to a 20 Ω resistor and a 5 Ω resistor in parallel. Calculate the total resis\tance of the circuit.
A. 5 Ω
B. 10 Ω
C. 15 Ω
D. 20 Ω
Question 8
A body of mass 5 kg is moving with a velocity of 10 m/s. What is its kinetic energy?
A. 50 J
B. 100 J
C. 150 J
D. 200 J
Question 9
A 2 kg block is moving with a speed of 5 m/s on a frictionless surface. Calculate the work done by the block in moving 10 m.
A. 25 J
B. 50 J
C. 75 J
D. 100 J
Question 10
A 100 V, 50 Hz AC supply is connected to a circuit containing a 20 Ω resistor and a 10 μF capacitor in series. Calculate the impedance of the circuit.
A. 22 Ω
B. 25 Ω
C. 28 Ω
D. 30 Ω
Question 11
A 5 Ω resistor is connected to a 10 V battery. Calculate the power consumed by the resistor.
A. 5 W
B. 10 W
C. 15 W
D. 20 W
Question 12
A gas is contained in a cylinder of volume 2 L at a temperature of 300 K. If the pressure of the gas is 2 atm, what is the number of moles of the gas?
A. 0.1 mol
B. 0.2 mol
C. 0.3 mol
D. 0.4 mol
Question 13
A wave has a frequency of 50 Hz and a wavelength of 2 m. If the wave is traveling in the positive x-direction, what is the direction of the wave's velocity?
A. Right
B. Left
C. Up
D. Down
Question 14
A particle of mass 2 kg is attached to a spring with a force cons\tant of 100 N/m. If the particle is displaced by 0.2 m from its equilibrium position and released from rest, determine the angular frequency of its simple harmonic motion.
A. 10 rad/s
B. 20 rad/s
C. 30 rad/s
D. 40 rad/s
Question 15
A particle of mass 2 kg is moving in a circular path with a cons\tant speed of 4 m/s. If the radius of the path is 3 m, calculate the magnitude of the centripetal force acting on the particle.
A. 12 N
B. 16 N
C. 20 N
D. 24 N

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