If C₁, C₂, C₃, .... are random speed of gas molecules, then average speed Cav = (C₁ + C₂ + C₃ + ...Cₙ)/n and root mean square speed of gas molecules, Cᵣₘₛ = √(C₁ + C₂ + C₃ + ...Cₙ)/n = C. Further, C₂ ∝ T or C ∝ √T at 0k, C = 0, ie., molecular motion stops. With the help of the passage given above , choose the most appropriate alternative for each of the following question:
Temperature of a certain mass of a gas is doubled. the rms speed of its molecules becomes n times. where n is
a. √2
b. 2
c. 1/√2
d. 1/2