Home
Class 12
PHYSICS
When open pipe is closed from one end, t...

When open pipe is closed from one end, then third overtone of closed pipe is higher in frequency by 150 Hz than second overtone of open pipe. The fundamental frequency of open end pipe will be

A

75 Hz

B

150 Hz

C

225 Hz

D

300 Hz

Text Solution

Verified by Experts

The correct Answer is:
D
The fundamental frequency of the pipe closed at one end is `n_(c) = v/(4L) `
` :. ` The frequency of its third overtone ` = 7n_(c) = (7v)/(4L) `
and for the pipe open at both ends ` n_(o) = v/(2L) `
` :. ` The frequency of the second overtone ` = (3v)/(2L) `
It is given that ` (7v)/(4L) - (3v)/(2L) = 150 `
` :. ` The fundamental frequency of the open end pipe
` n_(o) = v/(2L) = 2 (v/(4L)) = 2 x 150 = 300 ` Hz
Promotional Banner

Topper's Solved these Questions

  • STATIONARY WAVES

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP-8|20 Videos

  • STATIONARY WAVES

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (GRAPHICAL )|1 Videos

  • SEMICONDUCTORS

    MARVEL PUBLICATION|Exercise MCQs|261 Videos

  • SURFACE TENSION

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS . (TEST YOUR GRASP )|10 Videos

Similar Questions

Explore conceptually related problems

If an open pipe is suddenly closed with the result that the second overtone of the closed pipe is found to be higher in frequency by 100 Hz than the first overtone of the original pipe, then the fundamental frequency of open pipe will be

An open organ pipe is closed suddenly with the result that the second overtone of the closed pipe is found to be higher in frequency by 100 than the first overtone of the original pipe. Then, the fundamental frequency of the open pipe is

An open pipe is suddenly closed at one end with the result that the frequency of third harmonic of the closed pipe is found to be higher by 100 Hz then the fundamental frequency of the open pipe. The fundamental frequency of the open pipe is

An open pipe of length L is emitting its fundamental frequency . If one end of the pipe is closed , then the frequency of the first overtone of the closed pipe is found to be higher by 100 Hz than the fundamental frequency of the open pipe. What is the fundamental frequency of the closed pipe ?

If the fifth overtone of a closed pipe is in unison with the fifth overtone of an open pipe, then the ratio of the length of closed pipe to open pipe will be

On closing one end of an open pipe, the frequency of fifth harmonic of closed pipe becomes larger by 200 Hz than the fundamental frequency of open pipe. Calcuate the fundamental frequency of open pipe.

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