POST UTME AFE BABALOLA UNIVERSITY 2020 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A 5 μF capacitor is connected in parallel with a 10 μF capacitor. What is the equivalent capaci\tance?
A. 5 μF
B. 10 μF
C. 15 μF
D. 20 μF
Question 2
A radioactive sample of Δ²₂₂ emits Δ²₂⁴ particles with a half-life of 3.8 days. If 50% of the initial activity remains after 15 days, what is the decay cons\tant λ?
A. 0.0183 d⁴⁶
B. 0.0185 d⁴⁶
C. 0.0187 d⁴⁶
D. 0.0189 d⁴⁶
Question 3
A block of mass 5 kg is attached to a horizontal spring with a force cons\tant of 200 N/m. If the block is displaced by 0.2 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 4
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 particle velocity?
A. positive x-direction
B. negative x-direction
C. positive y-direction
D. negative y-direction
Question 5
A vector has a magnitude of 5 units and makes an angle of 60° with the positive x-axis. What is the x-component of the vector?
A. 2.5 units
B. 3.5 units
C. 4.5 units
D. 5.5 units
Question 6
A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. If the particle is subjected to a uniform magnetic field of strength $B$, what is the magnitude of the magnetic force acting on the particle?
A. \( \frac{mv^2}{r} \)
B. \( \frac{mv}{r} \)
C. \( \frac{m}{r^2} \)
D. \( \frac{mv^2}{B} \)
Question 7
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° 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 8
A circuit consists of a resistor $R$ and an inductor $L$ connected in series. If the circuit is driven by an alternating voltage source with a frequency $f$, what is the impedance $Z$ of the circuit?
A. Z=\sqrt{R^2+\( \omega L \)^2}
B. Z=\sqrt{R^2-\( \omega L \)^2}
C. Z=\sqrt{\( \omega L \)^2-R^2}
D. Z=\sqrt{\( \omega L \)^2+R^2}
Question 9
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 force of 12 N, what is the magnitude of the acceleration of the particle?
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 10
A parallel plate capacitor has plates of area $A$ and separation $d$. If the capaci\tance is $C$, what is the value of the electric field $E$ between the plates?
A. \frac{Q}{A\varepsilon_0}
B. \frac{Q}{d\varepsilon_0}
C. \frac{Q}{A^2\varepsilon_0}
D. \frac{Q}{d^2\varepsilon_0}
Question 11
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 force exerted on the particle?
A. 8 N
B. 10 N
C. 12 N
D. 16 N
Question 12
A wave function $\psi(x)$ is given by $\psi(x)=Ae^{ikx}$. If the wave function is normalized, what is the value of the cons\tant $A$?
A. A=\frac{1}{\sqrt{L}}
B. A=\sqrt{L}
C. A=\frac{L}{\sqrt{L}}
D. A=\frac{\sqrt{L}}{L}
Question 13
A 10 Ω resistor is connected in series with a 20 Ω resistor and a 30 Ω resistor. If a 12 V battery is connected across the circuit, what is the current flowing through the 20 Ω resistor?
A. 0.20 A
B. 0.30 A
C. 0.40 A
D. 0.50 A
Question 14
A convex lens of focal length 20 cm is used to form an image of an object placed 30 cm in front of it. If the object is moved 10 cm closer to the lens, what is the new image dis\tance?
A. 15 cm
B. 20 cm
C. 25 cm
D. 30 cm
Question 15
A magnetic field of magnitude $B$ is directed perp\endicular to the plane of a circular loop of radius $r$. If the loop is carrying a current of $I$, what is the magnitude of the magnetic moment of the loop?
A. I \pi r^2
B. I \pi r
C. I r^2
D. I r

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