If look inside a real piano , you'll see that the assumption made in part (b) of Illustration 7.31 is only partially true . The strings are not likely to have the length of the A string is only 64 % of the length of the C string . What is theratio of their tensions ?

If look inside a real piano , you'll see that the assumption made in p

1.	If look inside a real piano , you'll see that the assumption made in part (b) of Illustration 7.31 is only partially true . The strings are not likely to have the length of the A string is only 64 % of the length of the C string . What is theratio of their tensions ?
Answer» <html><body><p></p>Solution :The ratio of frequencies : <br/> `( f_(1) A)/( f_(1) C) = (L_(C ))/(L_(A)) sqrt (( T_(A))/( T_(C)))` <br/> `(T_(A))/(T_( C)) = ((L_(A))/(L_(C )))^(2) ((f_(1) A)/( f_(1) C))^(2)` <br/> `(T_(A))/( T_( C )) = ( 0.64)^(2) (( <a href="https://interviewquestions.tuteehub.com/tag/440-316801" style="font-weight:bold;" target="_blank" title="Click to know more about 440">440</a>)/( 262))^(2) = 1.16` <br/> <a href="https://interviewquestions.tuteehub.com/tag/notice-25787" style="font-weight:bold;" target="_blank" title="Click to know more about NOTICE">NOTICE</a> that this result <a href="https://interviewquestions.tuteehub.com/tag/represents-1185452" style="font-weight:bold;" target="_blank" title="Click to know more about REPRESENTS">REPRESENTS</a> only a `16 %` increase in tension , compares with the `18.2%` increase in <a href="https://interviewquestions.tuteehub.com/tag/part-596478" style="font-weight:bold;" target="_blank" title="Click to know more about PART">PART</a> (b) of Illustration 7.31.</body></html>