A string fixed at both ends is vibrating in the lowest possible mode of vibration for which 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 emitted when it vibrates in the next mode such that this 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)`