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A tuning fork of frequency 340Hz vibrat...

A tuning fork of frequency 340Hz vibrated above a cylindrical hallow tube closed at one end. The height of the tube is 120cm . Water is slowly poured in it. What is the minimum height of water required for resonance ?

Text Solution

Verified by Experts

The correct Answer is:
45 cm
Sound wavelength is
`lambda = (v)/(n) = (340)/(340) ` = 1m Resonance occurs when length of tube from open and is `(lambda)/(4), (3lambda)/(4), (5lambda)/(4)` … and so on. Thus for this tube is at 25cm, 75cm. 125cm …. Here minimum length water is such that impty length becomes 75 cm hence
`l = 120 - 75 = 45 cm`
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