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 H_(Z)`B. `175.4 H_(Z)`C. `149.45 H_(Z)`D. none of these

A closed organ pipe resonates in its fundamental mode at a frequency o

1.	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 H_(Z)`B. `175.4 H_(Z)`C. `149.45 H_(Z)`D. none of these
Answer» Correct Answer - B `M = (n_(1) M_(1) + n_(2) M_(2))/( n_(1) + n_(2))` `= ((2) (32) + (3) (48))/(5) = 41.6` `f = (nu)/(4l)` or `f prop nu` But, `nu = sqrt((gammaRT)/(M))` or `nu prop (1)/sqrt(M)` :. `f prop (1)/sqrt(M)` :. `(f_(2))/(f_(1)) = sqrt((M_(1))/(M_(2)))` or `f_(2) = (sqrt((M_(1))/(M_(2)))) f_(1)` `= (sqrt((32)/(48))) (200) = 175.4 H_(Z)`

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