POST UTME KSU 2022 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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 in the circuit?
A. 0.5 A
B. 1.0 A
C. 1.5 A
D. 2.0 A
Question 2
A wave with a frequency of 50 Hz and an amplitude of 0.05 m is traveling along a string. If the wave is reflected from a fixed \end, determine the amplitude of the reflected wave.
A. 0.01 m
B. 0.02 m
C. 0.03 m
D. 0.04 m
Question 3
A parallel plate capacitor has a capaci\tance of 10 μF. If a potential difference of 20 V is applied across it, what is the charge stored on the plates?
A. 0.2 C
B. 0.4 C
C. 0.6 C
D. 0.8 C
Question 4
A lens of focal length $f$ is placed in a beam of light. If the object dis\tance is $u$ and the image dis\tance is $v$, what is the magnification?
A. \frac{v}{u}
B. \frac{u}{v}
C. \frac{f}{u}
D. \frac{f}{v}
Question 5
A radioactive sample has an initial activity of 100 Bq. If the half-life of the sample is 10 minutes, what is the activity of the sample after 20 minutes?
A. 25 Bq
B. 50 Bq
C. 75 Bq
D. 100 Bq
Question 6
A particle of mass $m$ is confined to a one-dimensional box of length $L$. The ground state wave function of the particle is given by \( psi_1\( x \ \) = \sqrt{\frac{2}{L}} \sinleft\( \frac{pi x}{L}\right \)). What is the probability of finding the particle in the region $0 < x < \frac{L}{4}$?
A. \( \frac{1}{2} \)
B. \( \frac{1}{4} \)
C. \( \frac{1}{8} \)
D. \( \frac{1}{16} \)
Question 7
A circuit consists of a 10 Ω resistor, a 20 Ω inductor, and a 15 Ω capacitor connected in series. If a potential difference of 20 V is applied across the circuit, what is the current flowing through the circuit?
A. 0.5 A
B. 0.6 A
C. 0.7 A
D. 0.8 A
Question 8
A particle of mass $m$ is confined to a one-dimensional box of length $L$. If the particle is in the ground state, what is the expectation value of its position?
A. 0
B. L/2
C. L
D. \frac{L}{\sqrt{2}}
Question 9
A 5 kg block of ice is placed in a 10°C water bath. If the specific heat capacity of ice is 2.05 kJ/kg°C, what is the time taken for the ice to melt completely?
A. 10 minutes
B. 20 minutes
C. 30 minutes
D. 40 minutes
Question 10
A 100 W light bulb is connected to a 220 V power source. What is the current flowing through the bulb?
A. 0.45 A
B. 0.5 A
C. 0.55 A
D. 0.6 A
Question 11
A particle of mass $m$ is moving in a circular orbit of radius $r$ with a speed $v$. The magnetic field $B$ is perp\endicular to the plane of the orbit. What is the magnitude of the magnetic force on the particle?
A. \( \frac{mv^2}{r} \)
B. \( \frac{mv}{r} \)
C. \( \frac{mvr}{B} \)
D. \( \frac{Bmv}{r} \)
Question 12
A block of mass 2 kg is attached to a horizontal spring with a spring cons\tant of 100 N/m. 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 13
A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. What is the magnitude of the force acting on the particle?
A. \frac{mv^2}{r}
B. \frac{mv}{r}
C. \frac{m}{r^2}
D. \frac{r}{mv}
Question 14
A radioactive sample of Uranium-238 has a half-life of 4.5 billion years. If the initial activity of the sample is 1000 Bq, what is the activity after 9 billion years?
A. 125 Bq
B. 250 Bq
C. 500 Bq
D. 1000 Bq
Question 15
A 2.5 mH inductor is connected in series with a 10 Ω resistor and a 12 V battery. If the inductor is initially at rest, what is the current in the circuit after 5 ms?
A. 0.5 A
B. 1.0 A
C. 1.5 A
D. 2.0 A

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