POST UTME SKYLINE UNIVERSITY 2021 Physics | Objective

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Question 1
A parallel plate capacitor with plate separation $d$ and plate area $A$ is connected to a battery of electromotive force $V$. If the dielectric cons\tant of the material between the plates is $kappa$, the capaci\tance of the capacitor is given by $C = \frac{kappa epsilon_0 A}{d}$. If the battery is disconnected and a charge $Q$ is removed from the capacitor, the electric field between the plates is given by $E = \frac{Q}{kappa epsilon_0 A}$. What is the energy stored in the capacitor when the charge is $Q$?
A. 0.5\kappa\epsilon_0\frac{Q^2}{A}
B. \kappa\epsilon_0\frac{Q^2}{A}
C. \frac{Q^2}{2\kappa\epsilon_0 A}
D. \frac{Q^2}{\kappa\epsilon_0 A}
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 angular frequency of the particle?
A. 2 rad/s
B. 4 rad/s
C. 6 rad/s
D. 8 rad/s
Question 3
A 10 Ω resistor, a 20 μF capacitor, and a 100 mH inductor are connected in series across a 12 V DC power source. If the frequency of the AC source is 50 Hz, what is the impedance of the circuit?
A. 15 Ω
B. 20 Ω
C. 25 Ω
D. 30 Ω
Question 4
A 5 kg block is attached to a horizontal, massless spring with a force cons\tant of 200 N/m. The block is displaced by 0.2 m from its equilibrium position and released from rest. What is its maximum speed?
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 5
A coil of wire with 100 turns is placed in a magnetic field of strength 0.5 T. The coil has a radius of 0.1 m. What is the magnitude of the induced emf in the coil when the magnetic field is reduced to 0.2 T in 0.1 s?
A. 0.1 V
B. 0.2 V
C. 0.3 V
D. 0.4 V
Question 6
A car is traveling at a speed of 50 m/s when it encounters a hill with a height of 10 m. If the car's kinetic energy is 1000 J, what is the potential energy of the car at the top of the hill?
A. 500 J
B. 750 J
C. 1000 J
D. 1250 J
Question 7
A circuit consists of a 10 Ω resistor and a 20 Ω resistor connected in parallel. Calculate the equivalent resis\tance of the circuit.
A. 5 Ω
B. 10 Ω
C. 15 Ω
D. 20 Ω
Question 8
A block of mass 5 kg is placed on a frictionless surface and attached to a horizontal spring with a force cons\tant of 200 N/m. If the block is displaced by 0.2 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 9
A magnetic field of 0.5 T is applied to a coil of 100 turns. If the area of the coil is 0.1 m^2, what is the magnetic flux?
A. 0.05 Wb
B. 0.1 Wb
C. 0.15 Wb
D. 0.2 Wb
Question 10
A point charge of +2 μC is placed at the origin of a coordinate system. A second point charge of -3 μC is placed at the point (0.5 m, 0 m). What is the magnitude of the electric field at the point (0 m, 0.5 m)?
A. 0.5 N/C
B. 1.0 N/C
C. 1.5 N/C
D. 2.0 N/C
Question 11
A heat engine operates between two reservoirs at temperatures 300 K and 400 K. Calculate the efficiency of the engine.
A. 0.25
B. 0.30
C. 0.35
D. 0.40
Question 12
A car travels from rest to a speed of 20 m/s in 2 s. What is the acceleration of the car?
A. 10 m/s^2
B. 20 m/s^2
C. 30 m/s^2
D. 40 m/s^2
Question 13
A wave with a frequency of 100 Hz and a wavelength of 0.1 m is traveling through a medium. What is the speed of the wave?
A. 10 m/s
B. 20 m/s
C. 30 m/s
D. 40 m/s
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 acceleration of 2 m/s^2, what is the force exerted on the particle?
A. 8 N
B. 10 N
C. 12 N
D. 16 N
Question 15
A block of mass 2 kg is attached to a horizontal spring with a spring cons\tant of 100 N/m. The block is displaced by 0.1 m from its equilibrium position and released from rest. What is the maximum speed of the block?
A. 0.1 m/s
B. 0.2 m/s
C. 0.3 m/s
D. 0.4 m/s

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