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Question

A particle is moving in a circle of radius R with constant speed. The time period of the particle is T. In a time t=T6, average speed of the particle is

A
πR6T
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B
2πR3T
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C
2πRT
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D
RT
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Solution

The correct option is C 2πRT
In t=T6, particle will travel 16thof circle.

Hence,
Average speed=arcPQtime
=2πR6(T6)=2πRT

Alternative:-
Since, average speed remains constant and the time required to make a full circle is T. Hence,
Average speed=distanceTime=2πRT

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