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Q.

Two pendulums of same amplitude but time periods 3s and 7s start oscillating simultaneously from two opposite extreme positions. After how much time (s) they will be in phase?

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a

218s

b

214s

c

212s

d

638s

answer is A, D.

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Detailed Solution

 y1=acosω1t  and  y2=acos(π+ω2t)
For same phase  ω1t=π+ω2t
 t=πω1ω2=π2π32π7=218s
Or  t=3πω1ω2=3π2π32π7=638s

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