POST UTME PAN-ATLANTIC UNIVERSITY 2019 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A 200 V, 50 Hz AC supply is used to power a resistive load. If the load resis\tance is 100 Ω, calculate the rms current flowing through the load.
A. 2 A
B. 4 A
C. 6 A
D. 8 A
Question 2
A 50 Ω resistor is connected in series with a 20 Ω resistor and a 10 V battery. If the current through the 50 Ω resistor is 0.2 A, what is the voltage across the 20 Ω resistor?
A. 2 V
B. 4 V
C. 6 V
D. 8 V
Question 3
A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. The particle is subject to a centripetal force $F_c = \frac{mv^2}{r}$. If the particle's speed is doubled, what is the new centripetal force $F_c'$?
A. \frac{2mv^2}{r}
B. \frac{mv^2}{2r}
C. \frac{mv^2}{4r}
D. \frac{mv^2}{r}
Question 4
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. 10 N
B. 12 N
C. 8 N
D. 6 N
Question 5
A wave has a frequency of $f$ and a wavelength of $\lambda$. If the wave is reflected from a fixed \end, what is the new wavelength $\lambda'$?
A. \frac{\lambda}{2}
B. \frac{2\lambda}{3}
C. \frac{3\lambda}{4}
D. \frac{4\lambda}{5}
Question 6
A capacitor of capaci\tance 10 μF is connected in series with a 100 Ω resistor and a 5 V battery. If the current through the capacitor is 0.1 A, what is the time cons\tant?
A. 10 s
B. 20 s
C. 30 s
D. 40 s
Question 7
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. If the current flowing through the circuit is 2 A, calculate the voltage drop across the 6 Ω resistor.
A. 4 V
B. 6 V
C. 8 V
D. 10 V
Question 8
A circuit consists of a 12 V battery, a 4 Ω resistor, and an inductor of induc\tance 2 H. If the circuit is closed at t = 0, what is the current in the circuit at t = 2 s?
A. 2 A
B. 3 A
C. 1 A
D. 4 A
Question 9
A gas is heated from $T_1$ to $T_2$. If the volume of the gas is doubled, what is the new pressure $P'$?
A. \frac{P}{2}
B. \frac{P}{4}
C. \frac{P}{8}
D. \frac{P}{16}
Question 10
A block of mass 5 kg is attached to a horizontal, massless spring with a force cons\tant of 200 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, calculate the maximum speed of the block.
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 11
A radioactive sample of Δₗ emits Δₗ and Δₘ particles. The half-life of Δₗ is 5.3 days, while that of Δₘ is 5.0 days. If the initial activity of the sample is 100 Bq, what is the activity after 20 days?
A. 50 Bq
B. 25 Bq
C. 12.5 Bq
D. 6.25 Bq
Question 12
A radioactive sample has a half-life of $t_{1/2}$. If the sample is left for $3t_{1/2}$, what \fraction of the original sample remains?
A. \frac{1}{8}
B. \frac{1}{4}
C. \frac{1}{2}
D. \frac{3}{4}
Question 13
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 angle between the velocity vector and the radius vector at the ins\tant the particle is at the top of its circular path?
A. 30°
B. 45°
C. 60°
D. 90°
Question 14
A block of mass 2.0 kg is attached to a horizontal spring with a spring cons\tant of 100 N/m. The block is displaced by 0.20 m from its equilibrium position and released from rest. What is the maximum speed of the block?
A. 0.20 m/s
B. 0.40 m/s
C. 0.80 m/s
D. 1.60 m/s
Question 15
A charged particle of mass 1 kg and charge 2 C is moving in a magnetic field of strength 5 T with a velocity of 3 m/s. If the particle is subject to a magnetic force of 10 N, what is the magnitude of the magnetic field?
A. 2 T
B. 2.5 T
C. 3 T
D. 3.5 T

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