POST UTME GREENFIELD UNIVERSITY 2019 Physics | Objective

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Question 1
A thermodynamic system undergoes a process from state A to state B. The initial temperature is 300 K and the final temperature is 400 K. The change in entropy is 100 J/K. Calculate the heat transfer during the process.
A. 4000 J
B. 5000 J
C. 6000 J
D. 7000 J
Question 2
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. 10 N
B. 12 N
C. 15 N
D. 20 N
Question 3
A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. The capacitor is connected to a 12 V battery. Calculate the capaci\tance of the capacitor.
A. 0.02 F
B. 0.04 F
C. 0.06 F
D. 0.08 F
Question 4
A quantum particle has a wave function given by \psi(x) = Ae^{-\alpha x^2}. If the probability of finding the particle in the region x = 0 to x = 1 is 0.5, what is the value of \alpha?
A. 0.1
B. 0.5
C. 1
D. 5
Question 5
A capacitor consists of two parallel plates, each of area 0.01 m^2, separated by a dis\tance of 0.001 m. If the capaci\tance is 10^-6 F, what is the charge stored when a potential difference of 100 V is applied?
A. 10^-5 C
B. 10^-4 C
C. 10^-3 C
D. 10^-2 C
Question 6
A circuit consists of a 10 Ω resistor, a 20 Ω resistor, and a 30 Ω resistor connected in series. If a voltage of 12 V is applied across the circuit, what is the current flowing through the circuit?
A. 0.1 A
B. 0.2 A
C. 0.3 A
D. 0.4 A
Question 7
A light ray passes through a prism of angle $A$ and is re\fracted at an angle $B$. The angle of deviation is $D$. If the angle of incidence is $i$, what is the angle of emergence?
A. \( e = i - B \)
B. \( e = i + B \)
C. \( e = i - A \)
D. \( e = i + A \)
Question 8
A projectile is launched at an angle of 60° to the horizontal with an initial velocity of 20 m/s. If the air resis\tance is negligible, what is the maximum height reached by the projectile?
A. 10 m
B. 15 m
C. 20 m
D. 25 m
Question 9
A spring with a spring cons\tant of 100 N/m is stretched by 0.1 m. If the spring is then released from rest, what is the maximum speed of the spring?
A. 1 m/s
B. 2 m/s
C. 5 m/s
D. 10 m/s
Question 10
A parallel plate capacitor has plates of area $A$ and separation $d$. The capaci\tance is given by $C = \frac{epsilon_0 A}{d}$. If the area is doubled and the separation is halved, what is the new capaci\tance?
A. \( C' = \frac{\epsilon_0 A}{d} \)
B. \( C' = 2 \frac{\epsilon_0 A}{d} \)
C. \( C' = 4 \frac{\epsilon_0 A}{d} \)
D. \( C' = \frac{\epsilon_0 2A}{d} \)
Question 11
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. Calculate the magnitude of the centripetal acceleration.
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 12
A \sinusoidal voltage of 100 V peak is applied across a 10 Ω resistor. Calculate the rms value of the voltage.
A. 10 V
B. 20 V
C. 50 V
D. 100 V
Question 13
A heat engine operates between two reservoirs at temperatures 500 K and 300 K. If the engine absorbs 100 J of heat from the high-temperature reservoir, what is the efficiency of the engine?
A. 0.2
B. 0.4
C. 0.6
D. 0.8
Question 14
A wave of frequency 100 Hz and wavelength 2 m is traveling in a medium with a speed of 300 m/s. What is the amplitude of the wave?
A. 0.1 m
B. 0.2 m
C. 0.3 m
D. 0.4 m
Question 15
A 2 kg block is attached to a horizontal spring with a force cons\tant of 100 N/m. If the block is displaced by 0.2 m from its equilibrium position and released, calculate the maximum velocity of the block.
A. 1 m/s
B. 1.5 m/s
C. 2 m/s
D. 2.5 m/s

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