JEE (Main) Physics - Work, Energy and Power MCQs

Questions (31-45)

31. The potential energy stored in a spring is given by:
    • a) ½ k x²
    • b) k x²
    • c) ½ m v²
    • d) m g h
    Answer: a) ½ k x²
32. If a spring is stretched by a distance x from its equilibrium position, its potential energy is proportional to:
    • a) x
    • b) x²
    • c) √x
    • d) 1/x
    Answer: b) x²
33. The conservation of mechanical energy holds when:
    • a) The system is subject to conservative forces only
    • b) The system is subject to non-conservative forces only
    • c) The system is in free fall
    • d) There are no forces acting on the object
    Answer: a) The system is subject to conservative forces only
34. The work done by a conservative force is:
    • a) Path-dependent
    • b) Zero
    • c) Path-independent
    • d) Negative
    Answer: c) Path-independent
35. The total mechanical energy of a system is conserved if:
    • a) Only non-conservative forces act on it
    • b) Only conservative forces act on it
    • c) There is no friction
    • d) The potential energy is constant
    Answer: b) Only conservative forces act on it
36. The force that does not conserve mechanical energy is called:
    • a) Conservative force
    • b) Non-conservative force
    • c) Centripetal force
    • d) Gravitational force
    Answer: b) Non-conservative force
37. The energy lost by a non-conservative force is:
    • a) Converted to potential energy
    • b) Converted to kinetic energy
    • c) Dissipated as heat
    • d) Converted to gravitational potential energy
    Answer: c) Dissipated as heat
38. The mechanical energy of a body is the sum of its:
    • a) Kinetic and potential energies
    • b) Only kinetic energy
    • c) Only potential energy
    • d) None of the above
    Answer: a) Kinetic and potential energies
39. In the case of an object moving in a vertical circle, the forces acting on the object include:
    • a) Gravitational force and tension
    • b) Only gravitational force
    • c) Tension and friction
    • d) Gravitational force and friction
    Answer: a) Gravitational force and tension
40. In a vertical circle, the speed of an object is minimum at:
    • a) The highest point
    • b) The lowest point
    • c) The midpoint
    • d) At a random point
    Answer: a) The highest point
41. When an object moves in a vertical circle, at the highest point of the circle, the tension in the string is:
    • a) Maximum
    • b) Zero
    • c) Minimum
    • d) Maximum only when the speed is zero
    Answer: b) Zero
42. For an object in a vertical circular motion, the mechanical energy is conserved if:
    • a) No external forces act
    • b) The object is moving under the influence of gravity
    • c) The system includes friction
    • d) The system includes air resistance
    Answer: a) No external forces act
43. The work done by a non-conservative force in a vertical circle is:
    • a) Always zero
    • b) Dependent on the path taken
    • c) Equal to the change in potential energy
    • d) Only due to the gravitational force
    Answer: b) Dependent on the path taken
44. The potential energy of an object at the highest point in a vertical circle is:
    • a) Maximum
    • b) Zero
    • c) Equal to the kinetic energy
    • d) Minimum
    Answer: a) Maximum
45. The mechanical energy of an object in a vertical circle is conserved when:
    • a) The tension in the string is constant
    • b) There are no non-conservative forces acting on it
    • c) The object's speed is constant
    • d) Only conservative forces are acting on the object
    Answer: d) Only conservative forces are acting on the object

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