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?

Options

A. `268.23`
B. `172.7`
C. `149.45`
D. None of these

Explanation

`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`