POST UTME ESUT 2017 Physics | Objective

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Question 1
A parallel plate capacitor consists of two plates, each of area 0.1 m^2 and separated by a dis\tance of 0.01 m. The capaci\tance of the capacitor is 10 nF. If a potential difference of 5 V is applied across the plates, what is the magnitude of the electric field between the plates?
A. 200 V/m
B. 400 V/m
C. 500 V/m
D. 600 V/m
Question 2
A ray of light passes from air into a glass slab of re\fractive index 1.5. If the angle of incidence is 30°, calculate the angle of re\fraction.
A. 20°
B. 25°
C. 30°
D. 35°
Question 3
A particle of mass 2 kg is moving in a circular path of radius 3 m with a uniform speed of 4 m/s. If the particle is subjected to a centripetal acceleration of 2 m/s^2, what is the magnitude of the force acting on the particle?
A. 8 N
B. 10 N
C. 12 N
D. 16 N
Question 4
A radioactive sample has a half-life of 10 years. If the initial activity is 100 Bq, calculate the activity after 20 years.
A. 12.5 Bq
B. 25 Bq
C. 50 Bq
D. 100 Bq
Question 5
A 10 μF capacitor is connected in series with a 5 Ω resistor and a 120 V AC source. If the frequency of the source is 50 Hz, what is the impedance of the circuit?
A. \( 5 \sqrt{2} \) Ω
B. \( 5 \sqrt{3} \) Ω
C. \( 5 \sqrt{5} \) Ω
D. \( 5 \sqrt{6} \) Ω
Question 6
A block of mass 5 kg is attached to a horizontal, massless spring with a spring cons\tant of 200 N/m. The block is displaced by 2 m from its equilibrium position and released from rest. What is the maximum speed of the block as it oscillates?
A. 4 m/s
B. 8 m/s
C. 12 m/s
D. 16 m/s
Question 7
A wave has a frequency of 50 Hz and a wavelength of 0.5 m. Calculate the speed of the wave.
A. 25 m/s
B. 50 m/s
C. 75 m/s
D. 100 m/s
Question 8
A nucleus of mass number 20 has a binding energy of 150 MeV. What is the average binding energy per nucleon?
A. 5 MeV/nucleon
B. 7 MeV/nucleon
C. 7.5 MeV/nucleon
D. 10 MeV/nucleon
Question 9
A body is in equilibrium under the action of two forces. One force is 10 N and the other is 20 N. If the angle between the forces is 60°, calculate the resul\tant force.
A. 22.36 N
B. 24.49 N
C. 26.67 N
D. 28.85 N
Question 10
A block of mass 5 kg is attached to a horizontal, massless spring with a force cons\tant of 200 N/m. 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 11
A vector has a magnitude of 5 units and makes an angle of 30° with the positive x-axis. Calculate the x and y components of the vector.
A. x-component: 4, y-component: 2.5
B. x-component: 2, y-component: 4
C. x-component: 3, y-component: 2
D. x-component: 2.5, y-component: 4
Question 12
A gas at 300 K expands from 10 L to 50 L against a cons\tant external pressure of 2 atm. What is the work done by the gas?
A. 100 J
B. 200 J
C. 300 J
D. 400 J
Question 13
A gas is contained in a cylinder of volume 2 m^3 at a temperature of 300 K. If the temperature is increased to 400 K, what is the new volume of the gas?
A. 2.5 m^3
B. 3 m^3
C. 3.5 m^3
D. 4 m^3
Question 14
A block of mass 5 kg is attached to a horizontal spring with a spring cons\tant of 200 N/m. If the block is displaced by 0.1 m from its equilibrium position and released from rest, determine the equation of motion for the block.
A. x(t) = 0.1\cos\( \sqrt{200}t \)
B. x(t) = 0.1\sin\( \sqrt{200}t \)
C. x(t) = 0.1\cos\( \sqrt{200}t \) + 0.1
D. x(t) = 0.1\sin\( \sqrt{200}t \) + 0.1
Question 15
A body of mass 5 kg is moving with a velocity of 20 m/s. If the body is subjected to a force of 10 N, what is the acceleration of the body?
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2

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