Home
Class 11
PHYSICS
The fundamental frequency of a closed or...

The fundamental frequency of a closed organ pipe is equal to the first overtone of an open organ pipe. If the length of the open pipe is 60 cm, What is the length of the closed pipe?

Text Solution

Verified by Experts

For closed organ pipe , 3rf harmonics = `(3v)/(4l)`
For open organ pipe , fundamental frequency , = `(v)/(2l.)`
Given , `(3v)/(4l) = (v)/(2l.)`
`l. = (4l)/(3 xx 2) = (4l)/(6)`
l = 20 cm `l. = (4 xx 20)/(6)`
`l. = 13.33 ` cm
Promotional Banner

Topper's Solved these Questions

  • WAVES

    FULL MARKS|Exercise Additional Questions Solved (2- Mark Questions )|10 Videos

  • SOLVED PAPER 17 (UNSOLVED)

    FULL MARKS|Exercise Part-IV|10 Videos

  • WORK, ENERGY AND POWER

    FULL MARKS|Exercise Additional Question Solved (Numercials)|11 Videos

Similar Questions

Explore conceptually related problems

The fundamental frequency of a closed organ pipe is equal to the first overtone frequency of an open organ pipe. If the length of the open pipe is 60 cm, what is the length closed pipe?

The first overtone frequency of a closed organ pipe P_1 is equal to the fundamental frequency of an open organ pipe P_2 . If the length of the pipe P_1 is 30 cm, what will be the length of P_2 ?

The fundamental frequency of a vibrating organ pipe is 200 Hz.

If the third harmonics of a closed organ pipe is equal to the fundamental frequency of an open organ pipe , compute the length of the open organ pipe if the length of the closed organ pipe is 30 cm

The fundamental frequency of a closes organ pipe of length 20 cm is equal to the second overtone of an organ pipe open at both the ends. The length of the organ pipe open at both the ends is …….. .

The second overtone of an open organ pipe has the same frequency as the first overtone of a closed pipe L metre long. The length of the open pipe will be

If a closed organ pipe has the same third harmonic frequency as that of an open organ pipe, then their respective lengths are in the ratio:

Find the fundamental, first overtone and second overtone frequencies of an open organ pipe of length 20 cm. Speed of sound in air is 340 m s^-1 .