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.
1.02
Here given fB=600=12L√TBμ
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=12L√TAμ
⇒fBfA=600606=√TBTA
⇒√TA√TB=606600=1.01 ⇒TATB=1.02.