POST UTME OAU 2020 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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 2
A circuit consists of a 10 Ω resistor, a 20 Ω resistor, and a 30 Ω resistor connected in series. If a voltage of 20 V is applied across the circuit, what is the current flowing through the circuit?
A. 0.5 A
B. 1 A
C. 2 A
D. 3 A
Question 3
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 4
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 5
A magnetic field of magnitude $B$ is directed perp\endicular to the plane of a circular loop of radius $R$. The loop carries a current $I$. What is the magnitude of the magnetic moment of the loop?
A. \( Ipi R^2 \)
B. ( Ipi R )
C. \( Ipi R^3 \)
D. \( Ipi R^4 \)
Question 6
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 air resis\tance is negligible, what is the maximum height reached by the projectile?
A. 10 m
B. 15 m
C. 20 m
D. 25 m
Question 7
A magnetic field of 0.5 T is directed perp\endicular to a current-carrying wire of length 2 m. If the current in the wire is 5 A, what is the magnitude of the force acting on the wire?
A. 0.5 N
B. 1 N
C. 2 N
D. 5 N
Question 8
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 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 light ray passes through a prism of re\fractive index $\mu$ and is deviated by an angle $\delta$. If the angle of incidence is $\alpha$ and the angle of emergence is $\beta$, find the angle of deviation $\delta$ in terms of $\mu$, $\alpha$, and $\beta$.
A. \(\delta = \alpha - \beta + \sin^{-1}\left\( \frac{\mu \sin \alpha}{\mu \sin \beta}\right)\ \)
B. \(\delta = \alpha - \beta + \sin^{-1}\left\( \frac{\sin \alpha}{\sin \beta}\right)\ \)
C. \(\delta = \alpha - \beta + \sin^{-1}\left\( \frac{\mu \sin \alpha}{\sin \beta}\right)\ \)
D. \(\delta = \alpha - \beta + \sin^{-1}\left\( \frac{\sin \alpha}{\mu \sin \beta}\right)\ \)
Question 11
A block of mass 5 kg is placed on a frictionless surface and attached to a horizontal spring with a force cons\tant of 100 N/m. If the block is displaced by 2 m from its equilibrium position and released from rest, calculate the maximum speed of the block.
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 12
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 13
A 12 V battery is connected across a circuit containing a 4 Ω resistor and a 6 Ω resistor in series. Calculate the current flowing through the circuit.
A. 0.5 A
B. 1 A
C. 1.5 A
D. 2 A
Question 14
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 15
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. \(t = \frac{v_0 \cos \theta}{g^2}\)

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