Question

a tuning fork is in resonance with a closed pipe but the same tuning fork cannot be resonance with an open pipe of the same length. why,? ​

Answer 1

Explanation:

The fundamental frequency of open pipe is, Therefore, tuning fork is not in resonance with open pipe. To produce resonance, let the length of tube required be l. Thus, to produce the resonance with same tuning fork, the length of open end tube should be double the length of one end closed pipe.

Answer 2

Thus the length of the tube should be double to produce resosnsnce.

Explanation:

Let length of closed be L  and V be the velocity of sound.

Frequency of tunning fork V = V / 4 L

The fundamental frequency of open pipe is

V = V / 2 L

Therefore tunning fork is not in resonance with open pipe.

To produce resonancelet teh length of tube be l.

The resosnance condition is

V / 2 l = V = V / 4l

l = 2

Thus the length of the tube should be double to produce resosnsnce.