POST UTME LAUTECH 2022 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A radioactive sample has a half-life of 5 years. If the initial activity is 100 Bq, what is the activity after 15 years?
A. 12.5 Bq
B. 25 Bq
C. 50 Bq
D. 100 Bq
Question 2
A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the dielectric cons\tant of the material between the plates is 3, calculate the energy stored in the capacitor when a potential difference of 10 V is applied across it.
A. 1.2 x 10^-7 J
B. 1.2 x 10^-8 J
C. 1.2 x 10^-9 J
D. 1.2 x 10^-10 J
Question 3
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. What is the magnitude of the net force acting on the particle?
A. 16 N
B. 20 N
C. 24 N
D. 28 N
Question 4
A 5 m long rod is placed along the x-axis with one \end at the origin. If the rod is rotated about the y-axis by an angle of 30°, what is the new position of the \end of the rod?
A. 4.33 m
B. 4.67 m
C. 5.00 m
D. 5.33 m
Question 5
A 2 kg block is attached to a horizontal, massless 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 from rest, calculate the maximum speed of the block.
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 6
A particle is projected at an angle of 60° to the horizontal with an initial velocity of 20 m/s. If the acceleration due to gravity is 9.8 m/s², calculate the time taken for the particle to reach its maximum height.
A. 1.5 s
B. 2.5 s
C. 3.5 s
D. 4.5 s
Question 7
A particle of mass 1 kg is moving in a circular path with a radius of 2 m. If the particle has a speed of 4 m/s, what is the centripetal acceleration?
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 8
A 10 μF capacitor is connected in series with a 5 kΩ resistor and a 20 V battery. What is the time cons\tant of the circuit?
A. 0.1 s
B. 0.5 s
C. 1 s
D. 2 s
Question 9
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/s², what is the magnitude of the force acting on the particle?
A. 10 N
B. 12 N
C. 15 N
D. 18 N
Question 10
A parallel plate capacitor has a capaci\tance of 10 µF and is charged to a potential difference of 100 V. If the plates are separated by a dis\tance of 2 mm, what is the surface charge density?
A. 10 µC/m²
B. 20 µC/m²
C. 30 µC/m²
D. 40 µC/m²
Question 11
A simple harmonic motion has a frequency f and an amplitude A. If the motion is at its maximum displacement, what is the acceleration of the particle?
A. a = -A
B. a = A
C. a = -\omega A
D. a = \omega A
Question 12
A light ray passes from air into a glass slab of re\fractive index 1.5. If the angle of incidence is 30°, what is the angle of re\fraction?
A. 20°
B. 30°
C. 40°
D. 50°
Question 13
A 5 μF capacitor is connected in parallel with a 10 μF capacitor. What is the equivalent capaci\tance of the circuit?
A. 5 μF
B. 10 μF
C. 15 μF
D. 20 μF
Question 14
A capacitor consists of two parallel plates separated by a dis\tance d. If the charge on the plates is Q, what is the capaci\tance of the capacitor?
A. C = Q/d
B. C = Q/d^2
C. C = Q/d^3
D. C = Q/d^4
Question 15
A 10 Ω resistor is connected in series with a 20 Ω resistor and a 30 Ω resistor. If a 12 V battery is connected across the circuit, what is the current flowing through the 20 Ω resistor?
A. 0.3 A
B. 0.4 A
C. 0.5 A
D. 0.6 A

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