The identical piano wires kept under the same tension T have a fundamental frequency of 600 Hz. The fractional increase in the tension of one of the wires which will lead to occurrence of 6 beats//s when both the wires oscillate together would be

Options

A. `0.02`
B. `0.03`
C. `0.04`
D. `0.01`

Answer

A

Explanation

According to low of tension the frequency of the string varies directly as the square root of its tension
`n prop sqrt T`
`(Delta n)/(n)=(1)/(2).(Delta T)/(T)`
or `(Delta T)/(T)=2xx(Delta n)/(n)`
`(Delta T)/(T)=2xx(6)/(600)=0.02`