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Root mean square velocity of a gas molecule is proportional to:

1. m^1/2
2. m^0
3. m^(-1/2)
4. m

Correct answer: m^(-1/2)

Solution

The root mean square velocity (v_rms) of a gas molecule is given by the formula v_rms = √(3RT/M), where M is the molar mass. Since M is proportional to mass (m), v_rms is inversely proportional to the square root of m, i.e., m^(-1/2).

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