Two identical piano wires have fundemental frequency of `600 vib//sec`, when kept under the same tension. What frectional increase in the tension of one wire will lead to the occurrence of six beats per second when both wires vibrate simuitaneously.
Lost your password? Please enter your email address. You will receive a link and will create a new password via email.
Please briefly explain why you feel this question should be reported.
Please briefly explain why you feel this answer should be reported.
Please briefly explain why you feel this user should be reported.
Correct Answer – `2%`
`f = (1)/(lambda) sqrt((T)/(mu))`
`lnf = -lnlambda + (1)/(2)lnT – (1)/(2)ln mu`
`(1)/(f) (df)/(dT) = 0 + (1)/(2) (1)/(T) – 0`
`(df)/(f) = (1)/(2)(dT)/(T)`
`(dT)/(T) = (2df)/(f) = (2 xx 6)/(600) = (2)/(100)`
`%` change `= (2)/(100) xx 100 = 2%`