An open pipe is suddenly closed with the result that, the second overtone on the closed pipe is found to be higher in frequency by $100 H z$ , then the first overtone of the original pipe. the fundamental frequency of open pipe will be:

100 H z

No worries! We‘ve got your back. Try BYJU‘S free classes today!

300 H z

No worries! We‘ve got your back. Try BYJU‘S free classes today!

150 H z

No worries! We‘ve got your back. Try BYJU‘S free classes today!

200 H z

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is B $200 H z$
Let $L$ be the length of pipe.
frequency of first overtone, when the pipe is open ,
$n_{2} = v / L$ ,
frequency of second overtone , when the pipe is closed ,
$n_{3}^{'} = 5 v / 4 L$ ,
given , $n_{2} + 100 = n_{3}^{'}$ ,
or $v / L + 100 = 5 v / 4 L$ ,
or $v / 4 l = 100$ ,
or $l = v / 400$ ,
therefore fundamental frequency of open pipe will be ,
$n_{1} = v / 2 L = \frac{v}{2 v / 400} = 200 H z$

Suggest Corrections

Similar questions

An open pipe is suddenly closed at one end and with the result frequency of third harmonic 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 open pipe?

Q. 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 than the fundamental frequency of the open pipe. The fundamental frequency of the open pipe in Hz is

Q. An open pipe is suddenly closed one end with the result that the frequency of the third harmonic of the closed pipe is found to be higher by

100 H z

then the fundamental frequency of the open pipe.
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 than the fundamental frequency of the open pipe. The fundamental frequency of the open pipe is:

Q. When an 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

Join BYJU'S Learning Program

An open pipe is suddenly closed with the result that, the second overtone on the closed pipe is found to be higher in frequency by 100Hz, then the first overtone of the original pipe. the fundamental frequency of open pipe will be:

An open pipe is suddenly closed with the result that, the second overtone on the closed pipe is found to be higher in frequency by $100 H z$ , then the first overtone of the original pipe. the fundamental frequency of open pipe will be: