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JEE Mains · Physics · STD 11 - Kinetic theory of gases
  • JEE Mains 2021
  • Medium
  • MCQ

Consider a mixture of gas molecule of types \(A, B\) and \(C\) having masses \(m_{A}\,<\,m_{B}\,<\,m_{C}\) ratio of their root mean square speeds at normal temperature and pressure is :

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Correct Answer

(D) \(\frac{1}{v_{A}}\,<\,\frac{1}{v_{B}}\,<\,\frac{1}{v_{C}}\)

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Detailed explanation

\(V_{\text {RMS }}=\sqrt{\frac{3 R T}{M}}\)

\(m_{A}\,<\,m_{B}\,<\,m_{c}\)

\(\Rightarrow V_{A}\,>\,V_{B}\,>\,V_{c}\)

\(\Rightarrow \frac{1}{V_{A}}\,<\,\frac{1}{V_{B}}\,<\,\frac{1}{V_{c}}\)

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