Question

Two monoatomic ideal gases A and B of molecular masses 'm₁' and 'm₂' respectively, are enclosed in separate containers kept at the same temperature. The ratio of the speed of sound in gas A to that in gas B is given by ______.

Options

• `sqrt(m_1/m_2)`

• `m_2/m_1`

• `sqrt(m_2/m_1)`

• `m_1/m_2`

Answer 1

Two monoatomic ideal gases A and B of molecular masses 'm₁' and 'm₂' respectively, are enclosed in separate containers kept at the same temperature. The ratio of the speed of sound in gas A to that in gas B is given by `underline(sqrt(m_2/m_1))`.

Explanation:

Speed of sound in a gas is given by V = `sqrt((gamma"RT")/"M")`

when M is the molecular mass and T is the temperature.

`"V"_1/"V"_2=sqrt(m_2/m_1)`