Given below are two statements: Statement I: The average momentum of… | JEE Main 2022 (28 Jul, Shift 1)

Q53JEE Main 2022 · 28 JUL · SHIFT 1Medium

Molecular Speeds & Maxwell Distribution

Given below are two statements:

Statement I: The average momentum of a molecule in a sample of an ideal gas depends on temperature.

Statement II: The rms speed of oxygen molecules in a gas is $v$ . If the temperature is doubled and the oxygen molecules dissociate into oxygen atoms, the rms speed will become $2v$ . In the light of the above statements, choose the correct answer from the options given below:

Show answer and solution

Answer: (d)

Statement I: molecules move randomly in all directions, so average momentum is zero at every temperature. False.
Statement II: $v_{rms} \propto \sqrt{T/M}$ ; $T$ doubled and $M$ halved gives $\sqrt4 = 2$ times, i.e. $2v$ . True.
So the answer is (d).

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Molecular Speeds & Maxwell Distribution question from JEE Main 2022 (28 Jul, Shift 1)

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