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JEE Main 202229 JuneEvening Shift
Exam
JEE Main
Year
2022
Date
29 June
Shift
Evening Shift
Subject
Physics
Chapter
Waves and Sound

JEE Main 2022 · 29 June · Evening Shift · Physics · Waves and Sound

In an experiment to determine the velocity of sound in air at room...

In an experiment to determine the velocity of sound in air at room temperature using a resonance tube, the first resonance is observed when the air column has a length of 20.0cm20 . 0cm for a tuning fork of frequency 400Hz400Hz is used. The velocity of the sound at room temperature is 336ms−1336{ms}^{- 1}. The third resonance is observed when the air column has a length of _____ cmcm

Correct answer

0

Step-by-step solution

Wavelength of wave ⇒λ=vf=336400=84cm⇒ \lambda = \dfrac{v}{f} = \dfrac{336}{400} = 84cm

At first resonance

λ4=l+e⇒844=20+e\dfrac{\lambda}{4} = l + e ⇒ \dfrac{84}{4} = 20 + e, where, ee is end correction.

⇒e=1⇒ e = 1
So third resonance length

5λ4=l2+e5\dfrac{\lambda}{4} = {l}_{2} + e

5(21)=l2+15\left(21\right) = {l}_{2} + 1

l2=104cm{l}_{2} = 104cm

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