Statement The root mean square speed of a given gas molecu…

Maths JEE Main Full Syllabus Mock Test 75 Question New Syllabus. TEST 10 PCM Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 14, 2026

Statement The root mean square speed of a given gas molecule is more than the average speed of that gas molecule.

Statement II In each degree of freedom, energy of one molecule of an ideal gas is .

Choose the correct option.

Statement I is true, Statement II is false.

Statement I is false, Statement

is true.

Both the Statements are true.

Both the Statements are false.

Text Solution

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The correct answer is:

The rms speed of gas molecules is

The average speed of gas molecules is

According to law of equipartition of energy, the energy of an ideal gas is distributed equally among its all degree of freedom. The energy associated with each degree of freedom per molecule is .

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