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Q.

Which of following statements is incorrect?

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a

Path length is a scalar quantity whereas displacement is a vector quantity

b

The magnitude of displacement is always equal to the path length traversed by an object over a given time interval

c

The displacement depends only on the end points whereas path length depends on the actual path followed.

d

The path length is always positive whereas displacement can be positive, negative and zero.

answer is B.

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Detailed Solution

For a particle moving along a straight line in the same direction, magnitude of displacement is equal to the path length traversed. If a particle moving along a straight line, reverses its direction of motion , magnitude of its displacement is less than the length of path traversed.
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