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Question

Two pendulums differ in lengths by 22 cm. They oscillate at the same place so that one of them makes 30 oscillations and the other makes 36 oscillations during the same time. The lengths (in cm) of the pendulums are

A
72 and 50
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B
60 and 38
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C
50 and 28
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D
80 and 58
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Solution

The correct option is A 72 and 50
Given,
T1=130
T2=136
The time period of the pendulum is given by
T=2πlg
Tl
T1T2=l1l2=3630
l1l2=65
l1l2=3625. . . . . .(1)
Accorrding to question,
1125=l1l2l2=22l2. . . . .(2)
From equation (1) and (2), we get
l2=50cm
l1=72cm
The correct option is A.

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