The ratio between RMS velocities of H ₂ at 50 ~K and O ₂ at 800 ~K is

Step-by-step solution

Root mean square speed = 3 R T M Given, aligned M₁ & = molar mass of H ₂=2 M₂ & = molar mass of O ₂=32 T₁ & =50 ~K , T₂=800 ~K aligned On taking ratio of r₁ and r₂ , we get aligned & r₁ r₂ = M₂ T₁ M₁ T₂ = 32 2 T₁ T₂ & r₁ r₂ = 16 50 800 or r₁ r₂ =4 1 4 aligned or r₁ r₂ = 1 1 =1: 1 Hence, option (c) is correct.