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 $\upsilon$ . If the temperature is doubles and the oxygen molecules dissociate into oxygen atoms, the rms speeds will become 2 $\upsilon$ . In the light of the above statements, choose the correct answer from the options given below:                                 

<p><span class="mathml" contenteditable="false"> <math> <mrow> <mi>V</mi> <mo>=</mo> <mroot> <mrow> <mfrac> <mrow> <mn>3</mn> <mi>R</mi> <mi>T</mi> </mrow> <mrow> <mi>M</mi> </mrow> </mfrac> </mrow> <mrow></mrow> </mroot> </mrow> </math> </span><span class="mathml" contenteditable="false"> <math> <mrow> <mi>V</mi> <mo>'</mo> <mo>=</mo> <mroot> <mrow> <mfrac> <mrow> <mn>3</mn> <mi>R</mi> <mn>2</mn> <mi>T</mi> </mrow> <mrow> <mrow> <mo> (</mo> <mrow> <mfrac bevelled="true"> <mrow> <mi>M</mi> </mrow> <mrow> <mn>2</mn> </mrow> </mfrac> </mrow> <mo>)</mo> </mrow> </mrow> </mfrac> </mrow> <mrow></mrow> </mroot> <mo>=</mo> <mn>2</mn> <mfrac> <mrow> <mroot> <mrow> <mn>3</mn> <mi>R</mi> <mi>T</mi> </mrow> <mrow></mrow> </mroot> </mrow> <mrow> <mi>M</mi> </mrow> </mfrac> <mo>=</mo> <mn>2</mn> <mi>v</mi> </mrow> </math> </span></p>

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