Two monoatomic ideal gases `1` and `2` of molecular masses `m_(1)` and `m_(2)` respectively are enclosed in separate containers kept at the same temperature. The ratio of the of sound in gas `1` to that in gas `2` is given byA. `sqrt((m_(1))/(m_(2)))`B. `sqrt((m_(2))/(m_(1)))`C. `(m_(1))/(m_(2))`D. `(m_(2))/(m_(1))`

Two monoatomic ideal gases `1` and `2` of molecular masses `m_(1)` and

1.	Two monoatomic ideal gases `1` and `2` of molecular masses `m_(1)` and `m_(2)` respectively are enclosed in separate containers kept at the same temperature. The ratio of the of sound in gas `1` to that in gas `2` is given byA. `sqrt((m_(1))/(m_(2)))`B. `sqrt((m_(2))/(m_(1)))`C. `(m_(1))/(m_(2))`D. `(m_(2))/(m_(1))`
Answer» Correct Answer - B Speed of sound in a gas given by `v=sqrt((gammaRT)/M)` `v prop 1/(sqrt(M))` `:. (v_(1))/(v_(2))=sqrt((M_(2))/(M_(1)))=sqrt((m_(2))/(m_(1))` Here `gamma=(C_(p))/(C_(v))=5/3` for both the gases `(gamma_("monoatomic")=5/3)`

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