Sure, let's analyze the problem step-by-step:
1. Understanding Displacement (D):
- Displacement is a vector quantity that refers to the shortest distance from the initial point to the final point in a specific direction.
- If a body starts from a certain point and returns to the same point, it means the final position coincides with the initial position.
- Therefore, the displacement \( D \) in this case is zero because the starting and ending points are the same.
2. Understanding Distance (S):
- Distance is a scalar quantity that measures the total path length covered by the body irrespective of its direction.
- Even though the body returns to its starting point, it must have traveled some path to get there and back.
- Thus, the distance \( S \) covered by the body is not zero because the body has actually moved, covered some distance, and returned to the original point.
Combining these points:
- Displacement \( D \) is zero.
- Distance \( S \) is not zero.
Thus, the correct option is:
(b) [tex]\( D \)[/tex] is zero but [tex]\( S \)[/tex] is not zero.
