POST UTME DELSU 2020 Physics | Objective

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Question 1
A solid cylindrical rod of radius 0.05 m and length 1.5 m is made of a material with Young's modulus of 2.0 x 10^11 Pa. If a force of 50 N is applied \tangentially to the rod, what is the angular displacement of the rod?
A. 0.01 rad
B. 0.02 rad
C. 0.03 rad
D. 0.04 rad
Question 2
A particle of mass 2 kg is moving in a circular path with a cons\tant speed of 4 m/s. If the radius of the circle is 3 m, what is the magnitude of the centripetal acceleration?
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 3
A particle of mass 3 kg is moving in a circular path with a radius of 0.5 m. The particle has a velocity of 10 m/s. Assuming the particle is subject to a centripetal force, calculate the magnitude of the centripetal force.
A. \frac{mv^2}{r}
B. \frac{2mv^2}{r}
C. \frac{mv^2}{2r}
D. \frac{mv^2}{4r}
Question 4
A gas at a pressure of 2 atm and temperature of 300 K is heated to a temperature of 400 K. What is the final pressure of the gas?
A. 2.5 atm
B. 3.0 atm
C. 3.5 atm
D. 4.0 atm
Question 5
A parallel plate capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 20 V. If the dis\tance between the plates is doubled, what is the new capaci\tance?
A. 5 μF
B. 10 μF
C. 20 μF
D. 40 μF
Question 6
A particle of mass 2 kg is moving in a circular path of radius 3 m with a speed of 4 m/s. What is the magnitude of the centripetal force acting on the particle?
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 7
A current of 5 A flows through a resistor of 10 Ω for 2 seconds. What is the energy dissipated in the resistor?
A. 10 J
B. 20 J
C. 30 J
D. 40 J
Question 8
A 10 kg block is attached to a horizontal, massless spring with a spring cons\tant of 100 N/m. The block is displaced by 0.2 m from its equilibrium position and released from rest. What is the angular frequency of the resulting simple harmonic motion?
A. \( \sqrt{\frac{100}{10}} \) rad/s
B. \( \sqrt{\frac{100}{10}} \) rad/s
C. \( \sqrt{\frac{100}{10}} \) rad/s
D. \( \sqrt{\frac{100}{10}} \) rad/s
Question 9
A magnetic field is produced by a current-carrying wire. If the current is increased by a factor of 2, what happens to the magnetic field?
A. The magnetic field increases by a factor of 2
B. The magnetic field increases by a factor of 4
C. The magnetic field remains the same
D. The magnetic field decreases by a factor of 2
Question 10
A ray of light passes from air into a glass block at an angle of incidence of 30°. If the re\fractive index of the glass is 1.5, what is the angle of re\fraction?
A. 20°
B. 30°
C. 40°
D. 50°
Question 11
A block of mass 5 kg is placed on a frictionless surface. A force of 10 N is applied to the block, cau\sing it to accelerate. What is the magnitude of the acceleration?
A. 0.5 m/s^2
B. 1 m/s^2
C. 2 m/s^2
D. 5 m/s^2
Question 12
A 2 kg object is moving with a velocity of 5 m/s. If a force of 10 N is applied, what is the acceleration of the object?
A. 0.5 m/s^2
B. 1 m/s^2
C. 1.5 m/s^2
D. 2 m/s^2
Question 13
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 acceleration of the particle?
A. 8 m/s^2
B. 12 m/s^2
C. 16 m/s^2
D. 20 m/s^2
Question 14
A capacitor of capaci\tance 10 μF is connected in series with a resistor of resis\tance 20 Ω. If a voltage of 50 V is applied across the circuit, what is the current flowing through the circuit?
A. 1.25 A
B. 2.5 A
C. 5 A
D. 10 A
Question 15
A heat engine operates between two temperatures of 500 K and 300 K. If the engine absorbs 1000 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

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