The temp. at which the speed of sound in air becomes double its value at `0^(@)` C is :

Options

A. `273^(@)` C
B. `546^(@)` C
C. `819^(@)` C
D. `1092 ^(@)` C

Answer

C

Explanation

`(v_(t))/(v_(0)) = sqrt((T + 273)/(0 + 273) ) `
` therefore 2 = sqrt((T + 273)/(273) ) rArr = T + 273 = 4 xx 273 `
t = `4 xx 273 - 273^(@) = 819^(@) ` C
Hence the correct choice is (c) .