POST UTME RHEMA UNIVERSITY 2017 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A parallel plate capacitor has a capaci\tance of 2 μF. If a potential difference of 10 V is applied across the plates, calculate the charge stored on each plate.
A. 20 μC
B. 40 μC
C. 80 μC
D. 160 μC
Question 2
A particle of mass 0.5 kg is projected from the origin with an initial velocity of 20 m/s at an angle of 60° to the horizontal. What is the time of flight of the particle?
A. 2 s
B. 4 s
C. 6 s
D. 8 s
Question 3
A 2.5 mH inductor is connected in series with a 10 Ω resistor and a 20 V AC source. If the frequency of the source is 50 Hz, what is the impedance of the circuit?
A. 10 Ω
B. 20 Ω
C. 30 Ω
D. 40 Ω
Question 4
A light ray passes from air into a glass slab of re\fractive index 1.5. If the angle of incidence is 30°, calculate the angle of re\fraction.
A. 20°
B. 25°
C. 30°
D. 35°
Question 5
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 force?
A. 16 N
B. 12 N
C. 8 N
D. 24 N
Question 6
A heat engine operates between two temperatures $T_1$ and $T_2$, where $T_1 > T_2$. The engine has an efficiency of $\eta$. What is the temperature of the hot reservoir?
A. \frac{1}{1 - \eta} T_2
B. \frac{1}{\eta} T_2
C. \frac{1}{1 + \eta} T_2
D. \frac{1}{1 - \eta} T_1
Question 7
A 1000 Ω resistor is connected in parallel with a 2000 Ω resistor. If a 12 V battery is connected across the circuit, what is the current flowing through the 1000 Ω resistor?
A. 0.4 A
B. 0.6 A
C. 0.8 A
D. 1.2 A
Question 8
A circuit consists of a 10 Ω resistor and a 20 Ω resistor connected in series. If a current of 2 A flows through the circuit, calculate the voltage drop across the 20 Ω resistor.
A. 10 V
B. 20 V
C. 30 V
D. 40 V
Question 9
A magnetic field of 0.5 T is applied to a coil of wire with a resis\tance of 10 Ω. Calculate the induced emf in the coil.
A. 0.5 V
B. 1 V
C. 2 V
D. 5 V
Question 10
A sound wave with a frequency of 200 Hz is emitted from a source moving towards a stationary observer. If the speed of sound in air is 343 m/s, calculate the apparent frequency heard by the observer.
A. 220 Hz
B. 200 Hz
C. 180 Hz
D. 160 Hz
Question 11
A light ray passes through a convex lens of focal length 20 cm. If the object dis\tance is 30 cm, calculate the image dis\tance.
A. 10 cm
B. 20 cm
C. 30 cm
D. 40 cm
Question 12
A particle of mass $m$ is confined to a one-dimensional box of length $L$. The wave function of the particle is given by $psi(x) = \sqrt{\frac{2}{L}} \sinleft\( \frac{npi x}{L}\right \)$, where $n$ is a positive integer. What is the expectation value of the position of the particle?
A. 0
B. L/2
C. L
D. nπL/2
Question 13
A gas is heated from 300 K to 400 K at cons\tant volume. If the initial volume is 2 L, what is the final volume?
A. 2 L
B. 4 L
C. 6 L
D. 8 L
Question 14
A radioactive sample decays from 100 g to 50 g in 10 days. Calculate the half-life of the sample.
A. 5 days
B. 10 days
C. 15 days
D. 20 days
Question 15
A 100 Ω resistor and a 200 Ω resistor are connected in parallel across a 200 V AC source. What is the current drawn from the source?
A. 0.5 A
B. 1 A
C. 1.5 A
D. 2 A

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