Question

Two monoatomic ideal gases 1 and 2 has molecular weights m₁ and m₂. Both are kept in two different containers at the same temperature. The ratio of velocity of sound wave in gas 1 and 2 is………..

(A) √(m₂/m₁)

(B) √(m₁/m₂)

(C) (m₁/m₂)

(D) (m₂/m₁)

Answer 1

The correct option (A) √(m₂/m₁)   

Explanation:

speed of sound in ideal gas = V = √{(γRT)/m}

At same temperature i.e. T is constant

∴ V ∝ (1/√m)

∴ (V₁/V₂) = √(m₂/m₁)