Home
Class 12
PHYSICS
The two pipes are submerged in sea water...


The two pipes are submerged in sea water, arranged as shown in figure. Pipe A with length `L_A=1.5m` and one open end, contains a small sound source that sets up the standing wave with the second lowest resonant frequency of that pipe. Sound from pipe A sets up resonance in pipe B, which has both ends open. The resonance is at the second lowest resonant frequency of pipe B. The length of the pipe B is

Text Solution

Verified by Experts

(a) Only odd harmonics can exist in a pipe with one open end. The resonant frequencies are given by f = nv/4L for harmonic numbers n = 1,3,5,....
Because resonant frequency increases with increasing n, the second lowest resonant frequency corresponds to n = 3, the second lowest choice of n.
(b) Any harmonic can exist in a pipe with two open ends. The resonant frequencies are given by f = n/2L for harmonic numbers n = 1,2,3,...
Because resonant frequency increases with increasing n, the second lowest resonant frequency corresponds to n = 2, the second lowest choice of n. Therefore, we can write
`f = (2v)/(2L_B)`
Solving for `L_B` and substituting known data yield
`L_B = v/f = (1522 m//s)/(761 Hz) = 2.00 m `
Promotional Banner

Topper's Solved these Questions

  • WAVE - II

    RESNICK AND HALLIDAY|Exercise CHECKPOINTS|4 Videos

  • WAVE - II

    RESNICK AND HALLIDAY|Exercise PROBLEMS|59 Videos

  • VECTORS

    RESNICK AND HALLIDAY|Exercise PRACTICE QUESTIONS|39 Videos

  • WAVES-I

    RESNICK AND HALLIDAY|Exercise Practice Questions (Integer Type)|4 Videos

Similar Questions

Explore conceptually related problems

The two pipes are submerged in sea water, arranged as shown in figure. Pipe A with length L_(A) = 1.5 m and one open end, contains a small sound source that sets up the standing wave with the second towards resonant freiquency of that pipe. Sound from pipe A set up resonance in pipe B , which has both ends open. The resonance is at the second lowest resonant frequency of pipe B . The length of the pipe B in meter is :

A closed pipe of length 10 cm has its fundamental frequency half that of the second overtone of an open pipe . The length of the open pipe .

Pipe A has length twice the pipe B. Pipe A has both ends open and pipe B has one end open. Which harmonics of pipe A have a frequency that matches a resonance frequency of pipe B.

When the open organ pipe resonates in its fundamental mode then at the centre of the pipe

The second overtone of an open pipe has the same frequency as the first overtone of a closed pipe 2 m long. The length of the open pipe is

An organ pipe of length L is open at one end and closed at other end. The wavelengths of the three lowest resonating frequencies that can be produced by this pipe are

The waves set up in pipes open at both the ends are