Home
Class 11
PHYSICS
A 20cm long closed pipe emits a tone of ...

A 20cm long closed pipe emits a tone of frequency 400 Hz . Find out the length of an open pipe emitting a tone of frequency 600 Hz at the same time.

Text Solution

Verified by Experts

The fundamental frequency for the closed pipe .
` n_(0) = (V)/(4l) ` [l = length of closed pipe]
The fundamental frequency for the open pipe,
`n_(0)^(.) = (V)/(2L) ` [L = length of open pipe]
` :. (n_(0))/(n_(0)^(.)) = (V) /(4l) *(2L)/(V) = (1)/(2) * (L)/(l)`
or ,` L = 2l* (n_(0))/(n_(0)^(.)) = 2 xx 20 xx (400)/(600) = 26 . 67 ` cm .
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

A Sonometer wire emits a tone of frequency 150 Hz . Find out the frequency of the fundamental tone emitted by the wire if the tension is increased in the ratio 9 : 16 and the length is doubled .

When the temperature of air is 10^(@) C , a fundamental tone of frequency 500 Hz is emitted from an open pipe . What will be the frequency if the temperature rises to 30^(@) C ?

A fundamental tone of frequency 200 Hz is emitted from a taut string. If the length of the string is increased by 10% , what will be the frequency ?

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.

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

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 .

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