POST UTME PAN-ATLANTIC UNIVERSITY 2019 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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 2
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
Question 3
A particle of mass $m$ is moving in a circular orbit of radius $r$ with a speed $v$. What is the centripetal force acting on the particle?
A. \frac{m v^2}{r}
B. \frac{m v}{r}
C. \frac{m r}{v}
D. 0
Question 4
A parallel plate capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 5 V. If the dis\tance between the plates is increased by a factor of 2, what is the new capaci\tance?
A. 2.5 μF
B. 5 μF
C. 7.5 μF
D. 10 μF
Question 5
A 10 g sample of a gas at 300 K and 1 atm is heated to 400 K at cons\tant volume. What is the final pressure?
A. 1.5 atm
B. 2 atm
C. 2.5 atm
D. 3 atm
Question 6
A resistor of resis\tance 10 Ω is connected in series with a capacitor of capaci\tance 20 μF and an inductor of induc\tance 5 H. If the circuit is driven by an AC source of frequency 50 Hz, what is the impedance of the circuit?
A. 10.99 Ω
B. 12.01 Ω
C. 13.03 Ω
D. 14.05 Ω
Question 7
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 8
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 9
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 10
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 subject to a centripetal force of 12 N, what is the magnitude of the acceleration of the particle?
A. 5.33 m/s^2
B. 10.66 m/s^2
C. 20.33 m/s^2
D. 30.99 m/s^2
Question 11
A spring has a spring cons\tant of 100 N/m. If a force of 50 N is applied to the spring, what is the displacement of the spring?
A. 0.5 m
B. 0.6 m
C. 0.7 m
D. 0.8 m
Question 12
A capacitor of capaci\tance 2 μF is connected in parallel with a 4 μF capacitor. What is the equivalent capaci\tance?
A. 2 μF
B. 4 μF
C. 6 μF
D. 8 μF
Question 13
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 14
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 15
A magnetic field is produced by a current-carrying wire. If the current is 2 A and the wire is 0.5 m long, calculate the magnetic field strength at a dis\tance of 0.2 m from the wire.
A. 0.1 T
B. 0.2 T
C. 0.3 T
D. 0.4 T

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