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Question

# two particles execute SHM on same straight line with same position,same time period 6 second and same amplitude 5 cm. Both the particle start SHM from their mean position (in same direction) with a time gap of 1 sec. Find the maximum separation between the two particles during their motion:

A
2 cm
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B
3 cm
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C
4 cm
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D
5 cm
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Solution

## The correct option is A 2 cmGiven,Two particles executes SHM on same straight line with same positionSame time period =6sSame amplitude =5cmBoth the particle starts SHM from their mean position(in same direction)Time gap=1secFinding maximum separation between the two particles during their motionT=2π√lg6=2π√l10(3π)2×10=ll=105=2cm

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