Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main 202116 MarchEvening Shift
Exam
JEE Main
Year
2021
Date
16 March
Shift
Evening Shift
Subject
Physics
Chapter
Waves and Sound

JEE Main 2021 · 16 March · Evening Shift · Physics · Waves and Sound

A closed organ pipe of length L and an open organ pipe contain...

A closed organ pipe of length LL and an open organ pipe contain gases of densities ρ1{ρ}_{1} and ρ2{ρ}_{2} respectively. The compressibility of gases are equal in both the pipes. Both the pipes are vibrating in their first overtone with same frequency. The length of the open pipe is x3Lρ1ρ2\dfrac{x}{3}L\sqrt{\dfrac{{ρ}_{1}}{{ρ}_{2}}}, where xx is _______.

(Round off to the Nearest Integer)

A closed organ pipe of length L and an open organ pipe contain gases of densities ρ _ 1 and ρ _ 2 respectively. The

Correct answer

0

Step-by-step solution

A closed organ pipe of length L and an open organ pipe contain gases of densities ρ _ 1 and ρ _ 2 respectively. The

fc=f0{f}_{c} = {f}_{0}

3VC4L=2V02L′\dfrac{3{V}_{C}}{4L} = \dfrac{2{V}_{0}}{2{L}^{'}}

3VC4L=V0L′\dfrac{3{V}_{C}}{4L} = \dfrac{{V}_{0}}{{L}^{'}}

L′=4L3V0VC=4L3B.ρ1ρ2.B{L}^{'} = \dfrac{4L}{3}\dfrac{{V}_{0}}{{V}_{C}} = \dfrac{4L}{3}\sqrt{\dfrac{B . {ρ}_{1}}{{ρ}_{2} . B}} (BB is bulk modulus)

=4L3ρ1ρ2= \dfrac{4L}{3}\sqrt{\dfrac{{ρ}_{1}}{{ρ}_{2}}}

x=4x = 4

Practice Waves and Sound on Quantrex Academy →

More from Waves and Sound

List-I shows four configurations made of straight and semi-circular narrow tubes… JEE Advanced 2026A transverse wave on a string is described by y = 3 (36t + 0.018x + π/4) , where x, y are… JEE Main 2026The equation of a plane progressive wave is given by y = 5 π(200t - (x)/(150)) where x… JEE Main 2026The speed of a longitudinal wave in a metallic bar is 400 ~m / s . If the density and… JEE Main 2026Two tuning forks A and B are sounded together giving rise to 8 beats in 2 s. When fork A… JEE Main 2026A point source is kept at the center of a spherically enclosed detector. If the volume of… JEE Main 2026The fifth harmonic of a closed organ pipe is found to be in unison with the first… JEE Main 2026The velocity of sound in air is doubled when the temperature is raised from 0^ ∘ C to α^… JEE Main 2026 Full Waves and Sound list All JEE Main PYQs