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A closed organ pipe of length L is vibra...

A closed organ pipe of length L is vibrating in its first overtone there is a point Q inside the pipe at a distance `7L//9` form the open end the ratio of pressure amplitude at Q to the maximum pressure amplitude in the pipe is

A

`1:2`

B

`2:1`

C

`1:1`

D

`2:3`

Text Solution

Verified by Experts

The correct Answer is:
A

`DeltaPm=2DeltaP_(0) coskx` (assuming closed end as origin)
At point `Q,x=L-(7L)/9=(2L)/9`
`DeltaPm=2DeltaP_(0)cos((2pi)/(lamda)xx(2L)/9)=DeltaP_(0)`
`:.` Required ratio `=1:2`
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