Download the app

Questions  

A closed organ pipe of length L and an open organ pipe contain gases of densities ρ1 and ρ2 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 organ pipe is

a
L3
b
4L3
c
4L3ρ1ρ2
d
4L3ρ2ρ1

detailed solution

Correct option is C

Frequency of first over tone of closed pipe = Frequency of first over tone of open pipe ⇒3v4L1=vL2⇒34L1γPρ1=1L2γPρ2     ∵v=γPρ⇒L2=4L13ρ1ρ2=4L3ρ1ρ2

Talk to our academic expert!

+91

Are you a Sri Chaitanya student?


Similar Questions

A tube of certain diameter and of length 48 cm is open at both ends. Its fundamental frequency of resonance is found to be 320 Hz. The velocity of sound in air is 320 m/s. One end of the tube is now closed, considering the effect of end correction, calculate the lowest frequency of resonance for the tube (in Hz). 


phone icon
whats app icon