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A closed organ pipe and an open organ pi...

A closed organ pipe and an open organ pipe of same length produce `4` beats when they are set into vibrations simultaneously. If the length of each of them were twice their initial lengths, the number of beats produced will be

A

2

B

4

C

1

D

8

Text Solution

Verified by Experts

The correct Answer is:
A
`eta_1 = v/(2l) " " n_2 = v/(4l)`
No. of beat heard `n_1 - n_2 = v/(4l) = 4`
If the length of pipes are doubled , No. of beat heard
`n._1 - n._2 = v/(8l) = 4/2 = 2`
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