A string fixed at both ends is vibrating in the lowest mode of vibration for whicha a point at quarter of its length from one end is a point of maximum displacement. The frequency of vibration in this mode is `100 Hz`. What will be the frequency amitted when it vibrates in the next higher mode such that this point is again a point of maximum displacement.

Answer

`300 Hz`

Explanation

`f_(1) = (2v)/(2L) "__"(1)`

`n = 6`
`f_(2) = (6v)/(2L) __(i)`
`(f_(2))/(f_(1)) = (6v//2L)/((2V)/(2L)) = 3`
`f_(2) = 3f_(1) = 3 xx 100 = (300 Hz)`