POST UTME AAUA 2017 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A wave has a frequency of 20 Hz and a wavelength of 0.5 m. What is the speed of the wave?
A. 10 m/s
B. 20 m/s
C. 30 m/s
D. 40 m/s
Question 2
A magnetic field of magnitude $B$ is directed perp\endicular to a current-carrying wire of length $L$. The wire carries a current of $I$ and has a resis\tance of $R$. What is the force experienced by the wire?
A. BIL
B. BIL\sin\theta
C. BIL\cos\theta
D. BIL\tan\theta
Question 3
A body of mass 5 kg is moving with a velocity of 10 m/s. If it is subjected to a force of 20 N, what is the acceleration of the body?
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 4
A fluid is flowing through a horizontal pipe with a cross-sectional area of 0.01 m^2. The velocity of the fluid is 2 m/s. What is the volume flow rate?
A. 0.02 m^3/s
B. 0.04 m^3/s
C. 0.06 m^3/s
D. 0.08 m^3/s
Question 5
A wave function is given by ψ(x) = Ae^(ikx). If the wave function is normalized, what is the value of A?
A. 1/√2
B. 1/√π
C. 1/√2π
D. 1/√π^2
Question 6
A 100 V, 50 Hz AC source is connected to a 20 Ω resistor. What is the rms value of the current in the circuit?
A. 2 A
B. 3 A
C. 5 A
D. 10 A
Question 7
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. If the particle experiences a centripetal acceleration of 2 m/s^2, what is the magnitude of the force acting on the particle?
A. 10 N
B. 12 N
C. 16 N
D. 20 N
Question 8
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. What is the maximum height reached by the projectile?
A. 10 m
B. 15 m
C. 20 m
D. 25 m
Question 9
A parallel plate capacitor has a capaci\tance of 10 μF. If a potential difference of 100 V is applied across it, what is the charge stored on the plates?
A. 0.1 C
B. 10 C
C. 100 C
D. 1000 C
Question 10
A projectile is launched from the origin with an initial velocity of $v_0$ at an angle of $\theta$ above the horizontal. 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 11
A 100 Ω resistor is connected in series with a 200 Ω resistor and a 300 Ω resistor. What is the total resis\tance of the circuit?
A. 400 Ω
B. 500 Ω
C. 600 Ω
D. 700 Ω
Question 12
A particle of mass 1 kg is moving in a circular path of radius 2 m with a speed of 4 m/s. What is the centripetal force acting on the particle?
A. 4 N
B. 6 N
C. 8 N
D. 10 N
Question 13
A particle of mass $m$ is confined to a one-dimensional box of length $L$. The wave function of the particle is given by (psi(x) = \sqrt{\frac{2}{L}} \sinleft\( \frac{npi x}{L}\right \)). What is the expectation value of the position of the particle?
A. \frac{L}{2}
B. \frac{L}{4}
C. \frac{3L}{4}
D. \frac{L}{3}
Question 14
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. If the particle is subjected to a centripetal acceleration of 2 m/s^2, what is the magnitude of the force acting on the particle?
A. 8 N
B. 10 N
C. 12 N
D. 16 N
Question 15
A capacitor of capaci\tance 10 μF is connected to a battery of voltage 12 V. If the capacitor is initially uncharged, what is the charge on the capacitor after 5 minutes?
A. 120 μC
B. 240 μC
C. 360 μC
D. 480 μC

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