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2. A body starts moving from some point and returns to the same point. For this entire motion, its displacement is \( D \) and the distance covered by it is \( S \).

(a) Both \( D \) and \( S \) are zero.

(b) \( D \) is zero but \( S \) is not zero.

(c) \( S \) is zero but \( D \) is not zero.

(d) Neither [tex]\( D \)[/tex] nor [tex]\( S \)[/tex] is zero.



Answer :

GinnyAnswer
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.

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