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NDA 2 2025 GAT, question 56

Topic: Physics

Q56

Which one of the following statements for the work done by gravity on a body is NOT correct ?

  1. (a) Work done is independent of the path followed by the body
  2. (b) Work done depends only on the vertical distance separating the initial and the final position of the body
  3. (c) Work done depends on the path followed by the bodyCorrect answer
  4. (d) Work done is zero if the body is displaced horizontally to the force of gravity

Solution.

Answer: (c) Work done depends on the path followed by the body

  1. Gravity is conservative, so its work depends on initial and final positions, not the path.
  2. Near Earth’s surface W=mg(h_initial−h_final); horizontal motion does no gravitational work.
  3. Thus (c) is the incorrect statement.