An organ pipe open at one end, but closed at the other, is vibrating in its fundamental mode, producing sound of frequency 1800 Hz. Part A If you now open the closed end, the new fundamental frequency will be If you now open the closed end, the new fundamental frequency will be

A. 3600 Hz
B. 1800 Hz
C. 900 Hz
D. 450 Hz

Respuesta :

Answer:

The new fundamental frequency will be 3600 Hz.

Explanation:

On a closed organ pipe, the fundamental frequency is given by :

[tex]f=\dfrac{v}{4l}[/tex]

[tex]1800=\dfrac{v}{4l}[/tex].............(1)

l is the length of the pipe

v is the speed of sound

Similarly, on an open pipe the fundamental frequency is given by :

[tex]f'=\dfrac{v}{2l}[/tex]

From equation (1),

[tex]\dfrac{v}{2l}=3600[/tex]

[tex]f'=3600\ Hz[/tex]

So, the new fundamental frequency will be 3600 Hz. Hence, this is the required solution.