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For gaseous state, if most probable speed is denoted by C*, average speed by C̄ and mean square speed by C, then for a large number of molecules the ratios of these speeds are:

1. C*: C̄: C = 1.225: 1.128: 1
2. C*: C̄: C = 1.128: 1.225: 1
3. C*: C̄: C = 1: 1.128: 1.225
4. C*: C̄: C = 1.225: 1: 1.128

Correct answer: C*: C̄: C = 1: 1.128: 1.225

Solution

The correct option reflects the established relationships between the most probable speed, average speed, and mean square speed of gas molecules, where the most probable speed is the lowest, followed by the average speed, and the mean square speed is the highest, consistent with kinetic theory.

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