Instructions

Each question is provided with 4-alternative answers. One or more than one of them are correct answers. Indicate the correct answer by A,B,C,D.

Question 35

Match the List-I with List-II<br>List-I (type of velocity) - A) Root mean square velocity, B) Average velocity, C) Most probable velocity, D) Velocity possessed by maximum fraction of molecules<br>List-II (equation) - p) $$\sqrt{\frac{3p}{d}}$$, q) $$\sqrt{\frac{3RT}{m}}$$, r) $$\sqrt{\frac{8P}{\pi d}}$$, s) $$\sqrt{\frac{2RT}{m}}$$

Solution

The rms velocity is $$\sqrt{\frac{3RT}{M}} = \sqrt{\frac{3p}{d}}$$ (A with p and q). The average velocity is $$\sqrt{\frac{8RT}{\pi M}} = \sqrt{\frac{8p}{\pi d}}$$ (B with r). The most probable velocity, which is the velocity possessed by the maximum fraction of molecules, is $$\sqrt{\frac{2RT}{M}}$$ (C and D with s).

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