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Question

A string is stretched so that its length is increased by 1η of its original length. The ratio of fundamental frequency of transverse vibration to that of fundamental frequency of longitudinal vibration will be

A
η:1
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B
1:η
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C
η:1
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D
1:η
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Solution

The correct option is D 1:η
For transverse waves, speed will be proportional to length by the following relation:
v1μl
Since frequency is proportional to velocity which in turn is proportional to length, hence, ratio is 1η.

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