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Question

Which of the following is true for displacement?
(a) It cannot be zero.
(b) Its magnitude is greater than the distance traveled by the object.


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Solution

Step 1: Explanation for (a)
(1)The first statement is incorrect because, when we are considering a circular route, displacement might be zero.

(2) For example, when a cyclist travels in a circular path and completes one round, at that time the displacement done by a cyclist is zero.

Step 2: Explanation for (b)

(1) Second statement is also false because displacement is less than or equal to the distance traveled by the object in case of motion in opposite direction.

(2) Displacement is measured by measuring the shortest distance between the initial and final positions.

(3) For example, when a cyclist travels in a circular path, after a complete round, the displacement of the cyclist is zero but the distance is equal to the circumference of the circular path.

Hence, both the above statement are false.


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