If the fundamental frequency of a pipe closed at one is `512 H_(Z)` . The frequency of a pipe of the same dimension but open at both ends will be

Options

A. `1024 Hz`
B. `512 Hz`
C. `256 Hz`
D. `128 Hz`

Answer

A

Explanation

The fundamental modes of vibration of a pipe closed at one end and open at both ends (of same length) are shown in figure.
The wavelength in figure (b) is half of that figure (a). Hence the fundamental frequency in figure (b) Is doubled that in figure (a).
`f_(open)=2xx512=1024Hz`