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AIIMS 2006
Exam
AIIMS
Year
2006
Subject
Physics
Chapter
Kinetic Theory of Gases

AIIMS 2006 · Physics · Kinetic Theory of Gases

Assertion : The root mean square and most probable speeds of the...

Assertion : The root mean square and most probable speeds of the molecules in a gas are the same. Reason : The Maxwell distribution for the speed of molecules in a gas is symmetrical.Assertion : The root mean square and most probable speeds of the molecules in a gas are the same. Reason : The Maxwell

Options

  1. AIf both assertion and reason are true and reason is the correct explanation of the assertion
  2. BIf both assertion and reason are true but reason is not the correct explanation of the assertion
  3. CIf assertion is true, but reason is false
  4. DBoth assertion and reason are false statements.

Correct answer

D. Both assertion and reason are false statements.

Step-by-step solution

$ vr.m.s =3kTm or, 3RTMvprobable =2kTm or, 2RTM\begin{gathered} \text{ } v_{\text{r.m.s }}=\sqrt{\frac{3 k T}{m}} \text{ or, } \sqrt{\frac{3 R T}{M}} \\ v_{\text{probable }}=\sqrt{\frac{2 k T}{m}} \text{ or, } \sqrt{\frac{2 R T}{M}} \end{gathered} \therefore$ Assertion is wrong. Assertion : The root mean square and most probable speeds of the molecules in a gas are the same. Reason : The Maxwell
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