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Question

# Three persons P,Q and R are at three corners of an equilateral triangle of each side a. They start moving simultaneously with velocity V such that P always moves towards Q, Q always moves towards R and R always moves towards P. After what time they would meet each other at O ?

A
aV
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B
2a3V
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C
2a3V
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D
2aV
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Solution

## The correct option is B 2a3VThe three persons follow curvilinear paths to meet at the centroid O of triangle. Displacement PO=QO=RO=a√3 Velocity component along the displacement =Vcos30∘=V√32 ∴t=a√3V√32=2a3V

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