Spacing between two successive nodes in a standing wave on a string is `x`. If frequency of the standing wave is kept unchanged but tension in the string is doubled, then new sapcing between successive nodes will become:

Options

A. `x//sqrt2`
B. `sqrt2x`
C. `x//2`
D. `2x`

Answer

B

Explanation

Spacing between successive nodes`=(lamda)/(2)`
using `V=nlamda`
`lamdapropVprop sqrt((T)/(mu))`
Now `(lamda')/(lamda)=(sqrt(2T))/(sqrtT)implieslamda'=sqrt2lamda`
`(lamda')/(2)=sqrt2(lamda)/(2)=sqrt2x`.