Home
Class 11
PHYSICS
One end of an open pipe is suddenly cl...

One end of an open pipe is suddenly closed. It is observed that the frequency of the 3rd harmonic from the closed pipe is 100 Hz higher than the fundamental frequency of the open pipe. Find out this fundamental frequency when both the ends are open .

Text Solution

Verified by Experts

If V is the velocity of sound and l is the length of the pipe, the fundamental frequencies in the open and closed conditions are respectively .
`n_(0)^(.) = (V) /(2l) and n_(0) = (V)/(4l) = (n_(0)^(.))/(2)`
The frequency of the 3rd harmonic for the closed pipe .
` n = 3 n_(0) = (3)/(2) n_(0)^(.)`
` :. n - n_(0)^(.) = 100 or , (3)/(2) n_(0)^(.) = 100 or , n_(0)^(.) = 200 ` Hz .
Promotional Banner

Topper's Solved these Questions

  • SUPERPOSITION OF WAVES

    CHHAYA PUBLICATION|Exercise Higher order thinking skill (hots) questions|21 Videos

  • SUPERPOSITION OF WAVES

    CHHAYA PUBLICATION|Exercise Multiple choice questions (Based on standing wave)|5 Videos

  • STATICS

    CHHAYA PUBLICATION|Exercise CBSE SCANNER|3 Videos

  • THERMOMETRY

    CHHAYA PUBLICATION|Exercise EXAMINATION ARCHIEVE - WBJEE|1 Videos

Similar Questions

Explore conceptually related problems

One mouth of an open pipe is suddenly closed. If is found that the frequency of the third harmonic of the closed pipe is greater by 100 Hz than the frequency of the fundamental of the open pipe. Calculate the funda-mental frequancy of the open pipe.

show that the fundamental frequency of an open pipe is double the fundamental frequency of a closed pipe of the same length .

If the fundamental frequency of a closed pipe is 200 Hz . What would be the fundamental frequency of an open pipe of equal length ?

What should be the ratio of the lengths of a closed and an open pipe so that the frequency of the first overtone emitted from the closed pipe is in unison with that emitted from the open pipe ?

In an open organ pipe, third harmonic is 450 Hz . What is the frequency of fifth harmonic ?

The length of an open orgen pipe is twice the length of a closed organ pipe. If the fundamental frequency of the open pipe is 100 Hz , what is the frequency of the third harmonic of the closed pipe ?

Find out the relation between fundamental frequencies of a closed and an open pipe?

The fundamental frequency of a closed pipe is equal to the frequency of the second harmonic of an open pipe. The ratio of their lengths is

If the frequency of the fundamental tone emitted from a pipe closed at one end is 200 Hz, then the frequencies of the first three overtones will be