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)

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.

An Intiative by Sri Chaitanya

answer is 50.

(Unlock A.I Detailed Solution for FREE)

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Assumption : Ignore word “fundamental mode” in question.

$λ = \frac{V}{f} = \frac{340}{340} = 1 m$

First resonating length $= \frac{λ}{4} = 25 cm$

Second resonating length $= \frac{3 λ}{4} = 75 cm$

Third resonating length $= \frac{5 λ}{4} = 125 cm$

Height of water required $= 125 - 75 = 50 cm$

Watch 3-min video & get full concept clarity

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test