A string is stretched so that its length is increased by $\frac{1}{\eta }$ of its original length. The ratio of fundamental frequency of transverse vibration to that of fundamental frequency of longitudinal vibration will be
A string is stretched so that its length is increased by $\frac{1}{\eta }$ of its original length. The ratio of fundamental frequency of transverse vibration to that of fundamental frequency of longitudinal vibration will be
- A
$\eta :1$
- B
$1:\eta $
- C
$\sqrt \eta :1$
- D
$1:\sqrt \eta $
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- [AIIMS 1999]
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