JEE MAIN - Physics (2022 - 28th June Evening Shift - No. 25)

A tunning fork of frequency 340 Hz resonates in the fundamental mode with an air column of length 125 cm in a cylindrical tube closed at one end. When water is slowly poured in it, the minimum height of water required for observing resonance once again is ___________ cm.

(Velocity of sound in air is 340 ms$$-$$1)

Answer
50

Explanation

Given $$340 = {n \over {4 \times 125}}v$$

$$ \Rightarrow n = 5$$

So $$\lambda = 100$$ cm

So minimum height is $${\lambda \over 2} = 50$$ cm

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