At temperature T, N molecules of gas A each having mass m and at the same temperature 2N molecules of gas B each having mass 2m are filled in a container. The mean square velocity of molecules of gas B is $v^2$ and mean square of x component of velocity of molecules of gas A $w^2$ is . The ratio of $w^2$ / $v^2$ is :
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Question

At temperature T, N molecules of gas A each having mass m and at the same temperature 2N molecules of gas B each having mass 2m are filled in a container. The mean square velocity of molecules of gas B is $v^2$ and mean square of x component of velocity of molecules of gas A $w^2$ is . The ratio of $w^2$ / $v^2$ is :

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G1 Physics · Accepted Answer

Use the first law Q=ΔU+W (W by the gas), ΔU=nCᵥΔT for an ideal gas, and the appropriate process relation. For Carnot devices, let T₁ be the cold-reservoir temperature and T₂ be the hot-reservoir temperature; η=1-T₁/T₂ and COP=T₁/(T₂-T₁). Evaluating the given data/statements gives 2/3. Therefore the correct answer is D.