Q.

Two pendulums of lengths 1.69 m and 1.44 m start swinging together. After how many vibrations will they again start swinging together?

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a

8 vibrations

b

10 vibrations

c

12 vibrations

d

14 vibrations

answer is C.

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Detailed Solution

T1=2π1.69g,T2=2π1.44gLet shorter pendulum makes (n + I) vibrations then the longer makes n vibrations to come in phase again then                                            n+1T2=nT1 n+1n=T1T2=1.691.44⇒n=12
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