Two monatomic ideal gases `1` and `2` of molecular masses `m_(1)` and m_(2)` repectively are enclosed in separate containers kept at the same temprature. The ratio of the of sound in gas `1` to that in gas `2` is given by
A. (a) `sqrt((m_(1))/(m_(2))`
B. (b) `sqrt((m_(2))/(m_(2))`
C. ( c ) `(m_(1))/(m_(2))`
D. (d) `(m_(2))/(m_(1))`
A. (a) `sqrt((m_(1))/(m_(2))`
B. (b) `sqrt((m_(2))/(m_(2))`
C. ( c ) `(m_(1))/(m_(2))`
D. (d) `(m_(2))/(m_(1))`
Correct Answer – B
(b) KEY CONCEPT : `C_(rms) = sqrt((gammaRT)/(M))` Here C_(rms) prop sqrt((1)/(m))`,
:. `(C_(rms1))/(C_(gammams2)) = sqrt(((m_(2))/(m_(1)))`