POST UTME GREENFIELD UNIVERSITY 2019 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A convex lens of focal length 20 cm is placed in front of a screen. An object is placed 30 cm in front of the lens. Calculate the position of the image formed by the lens.
A. 40 cm
B. 50 cm
C. 60 cm
D. 70 cm
Question 2
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 3
A capacitor of capaci\tance 2 μF is connected in series with a resistor of resis\tance 4 Ω. If a voltage of 12 V is applied across the circuit, what is the current flowing through the circuit?
A. 0.5 A
B. 1 A
C. 2 A
D. 3 A
Question 4
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 5
A particle of mass $m$ is projected from the origin with an initial velocity $v_0$ at an angle $\theta$ to the horizontal. If the particle is subject to a uniform gravitational field of acceleration $g$, what is the time of flight?
A. \( t = \frac{v_0 \sin \theta}{g} \)
B. \( t = \frac{2 v_0 \cos \theta}{g} \)
C. \( t = \frac{v_0 \cos \theta}{g} \)
D. \( t = \frac{2 v_0 \sin \theta}{g} \)
Question 6
A radioactive sample decays from 100 g to 50 g in 10 minutes. What is the half-life of the sample?
A. 3 min
B. 5 min
C. 7 min
D. 10 min
Question 7
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 8
A 100 Ω resistor is connected in series with a 200 Ω resistor and a 300 Ω resistor. Calculate the equivalent resis\tance of the circuit.
A. 400 Ω
B. 500 Ω
C. 600 Ω
D. 800 Ω
Question 9
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 10
A vector has a magnitude of 5 m and makes an angle of 30° with the positive x-axis. Calculate the x and y components of the vector.
A. x = 4 m, y = 2.5 m
B. x = 3 m, y = 4 m
C. x = 2 m, y = 5 m
D. x = 1 m, y = 6 m
Question 11
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 12
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
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 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. 8 N
B. 12 N
C. 16 N
D. 24 N
Question 15
A 2 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. The block is displaced by 0.5 m from its equilibrium position and released from rest. Calculate the maximum speed of the block.
A. 1 m/s
B. 2 m/s
C. 4 m/s
D. 6 m/s

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