POST UTME LAUTECH 2022 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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. 0.25
B. 0.30
C. 0.35
D. 0.40
Question 2
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 3
A photon has an energy of 2 eV and a momentum of 10²² kg m/s. What is the wavelength of the photon?
A. 10²² m
B. 20²² m
C. 30²² m
D. 40²² m
Question 4
A 5 kg block is attached to a horizontal, massless spring with a force cons\tant of 200 N/m. If the block is displaced by 2 m from its equilibrium position and released from rest, what is the maximum speed of the block?
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
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. 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 6
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 7
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 8
A block of mass 2 kg is attached to a horizontal spring with a spring cons\tant of 100 N/m. If the block is displaced by 0.2 m from its equilibrium position and released, what is the maximum speed of the block?
A. 1.0 m/s
B. 2.0 m/s
C. 3.0 m/s
D. 4.0 m/s
Question 9
A radioactive sample of Uranium-238 undergoes \alpha decay. If the initial mass of the sample is 100 g, and the mass of an \alpha particle is 4 u, what is the mass of the daughter nucleus after 10 half-lives?
A. 36 g
B. 40 g
C. 44 g
D. 48 g
Question 10
A particle of mass 1 kg is moving in a straight line with an initial velocity of 5 m/s. It experiences a cons\tant acceleration of 2 m/s^2. What is the velocity of the particle after 3 s?
A. 7 m/s
B. 9 m/s
C. 11 m/s
D. 13 m/s
Question 11
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 12
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. The particle is subjected to a centripetal force of 12 N. What is the angular velocity of the particle?
A. 2 rad/s
B. 4 rad/s
C. 6 rad/s
D. 8 rad/s
Question 13
A gas is heated from 300 K to 400 K at cons\tant volume. What is the ratio of the final volume to the initial volume?
A. 1.33
B. 1.5
C. 1.67
D. 2.0
Question 14
A beam of light passes through a prism and is re\fracted. If the angle of incidence is 30° and the angle of re\fraction is 20°, what is the angle of deviation?
A. 40°
B. 50°
C. 60°
D. 70°
Question 15
A particle of mass m is moving in a circular orbit of radius r. If the particle has a velocity v, what is the centripetal force acting on the particle?
A. F_c = mv/r
B. F_c = mv^2/r
C. F_c = mvr
D. F_c = mvr^2

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