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Two open pipes with lengths 25 cm and 25...

Two open pipes with lengths 25 cm and 25.5 cm produce 10 beat/second when resonated in fundamental mode. Find speed of sound in them.

A

`225m//s`

B

`255m//s`

C

`350 m//s`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Here `f _(1) -f ._(1) =10`
`therefore (v)/( 2L ) - (v)/(2L.) = 10`
`therefore (v)/(2) [ (L.-L)/(LL.)]=10`
`therefore v= 20 xx (LL.)/(L.-L)`
`= 20 xx [ ((25.5 ) (25))/( (25.5) - (25))]`
`therefore v = 255 m//s`
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