Class 11th physics ncert solutions class 11th Kinetic Theory Physics

The relation between root mean square speed $(υ_{r m s})$ and most probable speed $(υ_{p})$ for the milar mass M of oxygen gas molecule at the temperature of 300K will be

Option 1 - <p><span class="mathml" contenteditable="false"> <math> <mrow> <msub> <mrow> <mi>υ</mi> </mrow> <mrow> <mi>r</mi> <mi>m</mi> <mi>s</mi> </mrow> </msub> <mo>=</mo> <mroot> <mrow> <mfrac> <mrow> <mn>2</mn> </mrow> <mrow> <mn>3</mn> </mrow> </mfrac> </mrow> <mrow></mrow> </mroot> <msub> <mrow> <mi>υ</mi> </mrow> <mrow> <mi>p</mi> </mrow> </msub> </mrow> </math> </span></p>

Option 2 - <p><span class="mathml" contenteditable="false"> <math> <mrow> <msub> <mrow> <mi>υ</mi> </mrow> <mrow> <mi>r</mi> <mi>m</mi> <mi>s</mi> </mrow> </msub> <mo>=</mo> <mroot> <mrow> <mfrac> <mrow> <mn>3</mn> </mrow> <mrow> <mn>2</mn> </mrow> </mfrac> </mrow> <mrow></mrow> </mroot> <msub> <mrow> <mi>υ</mi> </mrow> <mrow> <mi>p</mi> </mrow> </msub> </mrow> </math> </span></p>

Option 3 - <p><span class="mathml" contenteditable="false"> <math> <mrow> <msub> <mrow> <mi>υ</mi> </mrow> <mrow> <mi>r</mi> <mi>m</mi> <mi>s</mi> </mrow> </msub> <mo>=</mo> <msub> <mrow> <mi>υ</mi> </mrow> <mrow> <mi>p</mi> </mrow> </msub> </mrow> </math> </span></p>

Option 4 - <p><span class="mathml" contenteditable="false"> <math> <mrow> <msub> <mrow> <mi>υ</mi> </mrow> <mrow> <mi>r</mi> <mi>m</mi> <mi>s</mi> </mrow> </msub> <mo>=</mo> <mroot> <mrow> <mfrac> <mrow> <mn>1</mn> </mrow> <mrow> <mn>3</mn> </mrow> </mfrac> </mrow> <mrow></mrow> </mroot> <msub> <mrow> <mi>υ</mi> </mrow> <mrow> <mi>p</mi> </mrow> </msub> </mrow> </math> </span></p>

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Answered by

Raj Pandey | Contributor-Level 9

5 months ago

Correct Option - 2

Detailed Solution:

$V_{r m s} = \sqrt[]{\frac{3 R T}{M}}$

& $v_{P} = \sqrt[]{\frac{2 R T}{M}}$

$v_{r m s} = \sqrt[]{\frac{3}{2}} v_{P}$

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physics ncert solutions class 11th 2023

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