STANDARD Physics Maxwell's Distribution MCQ Question
vᵣₘₛ, vₐᵥ and vₘₚ are root mean square, average and most probable speeds of molecules of a gas obeying Maxwell's velocity distribution. Which of the following statements is correct
vᵣₘₛ < vₐᵥ < vₘₚ
vᵣₘₛ > vₐᵥ > vₘₚ
vₘₚ < vᵣₘₛ < vₐᵥ
vₘₚ > vᵣₘₛ > vₐᵥ
Correct Answer
Detailed Explanation
The correct order of speeds for a gas obeying Maxwell's distribution is vᵣₘₛ > vₐᵥ > vₘₚ. This is derived from the formulas for each speed: vᵣₘₛ = √(3kT/m), vₘₚ = √(2kT/m), and vₐᵥ = √(8kT/πm).
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