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PhysicsInteger+4 / -1Question 57 of 90

JEE Main 2022 · 28 Jun · Shift 2, Physics question 57

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^{-1})

Answer and worked solution

Official answer: 50

Wavelength 340340=1\frac{340}{340}=1 m. Resonant lengths of a closed tube: 25, 75, 125 cm.

Next resonance as the column shortens is 75 cm, so 50 cm of water.

Answer: 50