An air column in a pipe which is closed at one end, will be in response with the vibrating body of frequency 83 Hz. Then the length of the air column is

Explanation

`((P_1)(V_1) = (P_2)(V_2))`
` rArr (mg/A + (P_0)) Al = (P_0)Al'`
` rArr ((1 xx 9.8/10 xx (10^-4))+(10^5)) 0.2 = (10^5)l'`
` (9.8 xx (10^3) + (10^5)) xx 0.2 = (10^5)l' `
` = 109.8 xx (10^3) xx 0.2 =(10^5)l'`
` rArr l' = (1098 xx 0.2/(10^2))`
` = 0.2196m = 0.22m ~~22cm` .