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An open organ pipe has length l .The air...

An open organ pipe has length `l` .The air in it vibrating in `3^( rd )` overtone with maximum amplitude `A` . The amplitude at a distance of `(l)/(16)` from any open end is.

A

`A`

B

Zero

C

`(A)/(sqrt(2))`

D

`(sqrt(3)A)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
`A.=AcsKx`
`3rd` ovetone in open pipe is `4th`
Harmonic `:.l=(4lambda)/(2)implieslambda=(l)/(2)`
`x=(l)/(16) :. A.=Acos((2pi)/(lambda).x)`
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