The velocity of sound in gas is 206 m/s. at N.T.P. The increase in velocity per `""^(@)`C rise in temp. in this gas is :

Options

A. 0.61 m/s `K^(-1)`
B. 0.38 m/s `K^(-1)`
C. 0.82 m/s `k^(-1)`
D. 1.26 m/s `K^(-1)` .

Answer

B

Explanation

`alpha = (v_(t) - v_(0))/(t) `
Now `(v_(t))/(v_(0)) - 1 = (t)/(546)`
`rArr (v_(t) - v_(0))/(t) = (v_(0))/(546)`
`rArr " " alpha = (v_(0))/(546) = (206)/(546) = 0.38 ms^(-1) k^(-1)`
Hence the correct choice is (b) .