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Question

A piano wire B vibrates at a fundamental frequency of 600 Hz. A second identical wire A produces 6 beats per second with it when the tension in A is slightly increased. Find the ratio of the tension in A to the tension in B.

A

1.02

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B

0.5

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C

2

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D

3

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Solution

The correct option is A

1.02


Here given fB=600=12LTBμ

2nd identical wire A will have same tension and frequency.

As the tension increases frequency increases

It is given that 6 beats are produces when tension in A is increased.

so, fA=600=12LTAμ

fBfA=600606=TBTA

TATB=606600=1.01 TATB=1.02.


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