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Question

Two particles revolve concentrically in a horizontal plane in the same direction. The time required to complete one revolution for particle A is 3 min , while for particle B, it is 1 min. The time required for A to complete one revolution relative to B is

A
2 min
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B
1 min
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C
1.5 min
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D
1.25 min
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Solution

The correct option is C 1.5 min
Angular velocity of A w.r.t B, ωAB=|ωAωB|

We know that ω=2πT

2πTAB=2πTA2πTB
where TAB is time taken by A w.r.t particle B.

TAB=TATBTATB=3×131=32=1.5 min

TAB=1.5 min

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