POST UTME KSU 2018 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A 2.0 mH inductor is connected in series with a 10 V AC source. If the frequency of the source is 100 Hz, calculate the inductive reac\tance of the inductor.
A. ( 10.0 Omega )
B. ( 20.0 Omega )
C. ( 50.0 Omega )
D. ( 100.0 Omega )
Question 2
A light source is placed 2 m away from a convex lens of focal length 0.5 m. If the lens is used to form an image of the light source, what is the position of the image?
A. 1.5 m
B. 2 m
C. 2.5 m
D. 3 m
Question 3
A vector α has a magnitude of 5 units and makes an angle of 30° with the x-axis. What is its x-component?
A. 2.5 units
B. 3.0 units
C. 4.0 units
D. 5.0 units
Question 4
A particle of mass 1 kg is moving in a circular path with a radius of 2 m. The particle has a speed of 4 m/s. Determine the centripetal 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 5
A 10 V AC source is connected to a 20 Ω resistor and a 10 μF capacitor in series. The frequency of the AC source is 50 Hz. Determine the impedance of the circuit.
A. 30 Ω
B. 40 Ω
C. 50 Ω
D. 60 Ω
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. If the particle is subjected to a centripetal force of 12 N, what is the magnitude of the acceleration of the particle?
A. 6 m/s^2
B. 12 m/s^2
C. 18 m/s^2
D. 24 m/s^2
Question 7
A particle of mass $m$ is moving in a circular orbit of radius $r$ under the influence of a central force given by $F(r) = -\frac{k}{r^2}$, where $k$ is a positive cons\tant. If the particle's angular momentum is $L = 2mr^2 omega$, find the total energy of the particle in terms of $m$, $r$, and $k$.
A. \frac{1}{2} m r^2 \omega^2 - \frac{k}{r}
B. \frac{1}{2} m r^2 \omega^2 + \frac{k}{r}
C. \frac{1}{2} m r^2 \omega^2
D. -\frac{k}{r}
Question 8
A magnetic field is generated by a current-carrying wire. If the current is doubled, what happens to the magnetic field?
A. The magnetic field remains the same.
B. The magnetic field doubles.
C. The magnetic field quadruples.
D. The magnetic field becomes zero.
Question 9
A vector A has magnitude 5 m and direction 30° north of east. A vector B has magnitude 3 m and direction 60° south of west. What is the magnitude of the resul\tant vector A + B?
A. 4.5 m
B. 5.5 m
C. 6.5 m
D. 7.5 m
Question 10
A radioactive sample has a half-life of 5 years. If the initial activity is 1000 Bq, calculate the activity after 10 years.
A. 125 Bq
B. 250 Bq
C. 500 Bq
D. 1000 Bq
Question 11
A gas expands from an initial volume of 0.5 m^3 to a final volume of 1.5 m^3 at a cons\tant temperature of 300 K. Determine the work done by the gas during this expansion.
A. -450 J
B. -600 J
C. -750 J
D. -900 J
Question 12
A block of mass 2 kg is attached to a horizontal, massless 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. Assuming the block undergoes simple harmonic motion, determine the maximum speed of the block.
A. 1.6 m/s
B. 2.0 m/s
C. 2.5 m/s
D. 3.2 m/s
Question 13
A 100 W bulb is connected to a 200 V AC source. If the power factor of the bulb is 0.8, calculate the current drawn by the bulb.
A. ( 0.5 A )
B. ( 1.0 A )
C. ( 1.5 A )
D. ( 2.0 A )
Question 14
A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. The capaci\tance is 2.5 nF. If a potential difference of 10 V is applied across the plates, what is the magnitude of the displacement current?
A. 0.5 A
B. 1.0 A
C. 2.0 A
D. 5.0 A
Question 15
A capacitor of capaci\tance 10 μF is connected in series with a resistor of resis\tance 20 Ω. If a voltage of 50 V is applied across the circuit, what is the current flowing through the circuit?
A. 2.5 A
B. 5 A
C. 10 A
D. 20 A

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