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Question

The ratio of magnitude of average velocity to average speed is greater than or equal to 1.

A
True
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B
False
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Solution

The correct option is B False
Average velocity of the body is defined as the ratio of net displacement of the body to the total time taken.
Average velocity vavg=DisplacementTime
Average speed of the body is defined as the ratio of total distance of the body to the total time taken.
Average speed savg=DistanceTime
Since we know that the magnitude of the displacement can either be equal to or smaller than distance covered, thus average speed can either be equal to or greater than magnitude of velocity.
Thus the given statement is false.

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