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A closed organ pipe resonates in its fun...

A closed organ pipe resonates in its fundamental mode at a frequency of `200 H_(Z)` with `O_(2)` in the pipe at a certain temperature. If the pipe now contains `2` moles of `O_(2)` and `3` moles of ozone, then what will be fundamental frequency of same pipe at same temperature?

A

`268.23`

B

`172.7`

C

`149.45`

D

None of these

Text Solution

Verified by Experts

`gamma_(mix)=(n_(1)C_(P_(1))+n_(2)C_(P_(2)))/(n_(1)C_(V_(1))+n_(2)C_(V_(2)))=1.357`, `M_(mix)=(2xx32+3xx48)/(5)=41.6`
`(f_(2))/(200)=sqrt((gamma_(mix))/(M_(ix))xx(M)/(r ))=sqrt((1.357)/(41.6)xx(32)/(1.4))`
`:. f_(2)= 172.7`
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