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For a certain organ pipe three successiv...

For a certain organ pipe three successive resonance frequencies are observed at 425Hz, 595 Hz and 765Hz respectively. If the speed of sound air is 340m/s, then the length of the pipe is

A

2.0 m

B

0.4 m

C

1.0 m

D

0.2 m

Text Solution

Verified by Experts

The correct Answer is:
A
The frequencies are in the ratio of 5 : 7 : 9. Hence, it is a closed open pipe.
`therefore425=5((v)/(4L))`
or `L=(5v)/(4xx425)=(5xx340)/(4xx425)=1.0m`
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