Question

Assertion (A): When the displacement is zero, then the work is zero. So, if the work done is zero, then it necessarily means the displacement is zero.

Reason (R): Work done is calculated by the relation W = FS cos θ.

Options

• A and R are true, and R is the reason for A.

• A and R are true, and R is not the reason for A.

• A is true, but R is false.

• A is false, but R is true.

Answer 1

A is false, but R is true.

Explanation:

The assertion is false because zero work done does not automatically imply that the displacement is zero; work can also be zero if the applied force acts perpendicular (θ = 90°) to the direction of displacement. However, the reason is true because the mathematical formula W = F . S . cos θ is perfectly correct and accurately accounts for how the angle between force and displacement determines the total work done.