A violin string oscillating in its fundamental mode, generates a sound wave with wavelength `lambda`. To generate a sound wave with wavelength `(lambda)/(2)` by the string still oscillating is its fundamental mode, tension must be changed by the multiple.

Options

A. `2`
B. `1//2`
C. `4`
D. `1//4`

Answer

C

Explanation

`fpropsqrtT`, and as there is no change in length
`implieslamdaprop(1)/(sqrtT)`
`(lamda')/(lamda)=(sqrtT)/(sqrt(T'))impliesqrtT'=(lamda)/(lamda')sqrtT`
`T'=(2)2T=4T` ltbtgt Hence (c ) .