The velocity of sound in air when temperature is halved and pressure doubled will be
(The velocity of sound in air at NTP is 330 m/s)

Options

A. 234.2 m/s
B. 466.62 m/s
C. 165 m/s
D. 330 m/s

Answer

A

Explanation

`v_(1) prop sqrtT_(1) and v_(2) prop sqrtT_(2)`
`(v_(2))/(v_(1)) = sqrt((T_(2))/(T_(1))) " " :. (v_(2))/(v_(1)) = sqrt(((1)/(2)T_(1))/(T_(1))) = sqrt((1)/(2))`
`:. V_(2) = v sqrt((1)/(2)) = (v)/(sqrt2) = 330 xx 0.707 = 234.2 m//s`