Q.

Two pendulums begin to swing simultaneously. If the ratio of the frequency of oscillations of the two is 7 : 8, then the ratio of lengths of the two pendulums will be

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a

7 : 8

b

8 : 7

c

49 : 64

d

64 : 49

answer is D.

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Detailed Solution

Suppose at t=0, pendulums begins to swing simultaneously. Hence, they will again swing simultaneously  if  n1T1=n2T2 ⇒n1n2=T2T1=l2l1 ⇒l1l2=n2n12=872=6449
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