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Question: A closed organ pipe and an open organ pipe of same length produce four beats in their fundamental mo...

A closed organ pipe and an open organ pipe of same length produce four beats in their fundamental mode when sounded together. If length of the open organ pipe is increased, then the number of beats will –

A

Increase

B

Decrease

C

Remain constant

D

May increase or decrease

Answer

Increase

Explanation

Solution

Path difference between the waves

Dx = 130 – 120 = 10 m

As phase between the two waves in p, because reflection takes place from the rigid end, so for constructive

interference.

Dx = (2n + 1)

10 = (2n + 1)

\ l =, n = 0, l1 = 20m

n = 1, l2 = m

n = 2, l3 = m