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  • Answer please! The ratio among most probable velocity, mean velocity and root mean square velocity is given by

The ratio among most probable velocity, mean velocity and root mean square velocity is given by

  • Option 1)

    1 : 2 : 3

  • Option 2)

    1 : \sqrt{2} : \sqrt{3}

  • Option 3)

    \sqrt{2} : \sqrt{3} : \sqrt \frac{8}{\pi}

  • Option 4)

    \sqrt{2} :\sqrt \frac{8}{\pi} : \sqrt{3}

 

Answers (1)

best_answer

As we learnt in 

Most probable speed of gas molecules -

Vmp=\sqrt{2RT/M}

- wherein

M- Molecular Mass , R- Gas Constant , T- Temperature

 

 

most probable velocity : mean velocity : Vrms

= \sqrt{\frac{2RT}{M}}: \sqrt{\frac{8RT}{\pi M}}: \sqrt{\frac{3RT}{M}}= \sqrt{2}:\sqrt{\frac{8}{\pi }}:\sqrt{3}


Option 1)

1 : 2 : 3

Incorrect

Option 2)

1 : \sqrt{2} : \sqrt{3}

Incorrect

Option 3)

\sqrt{2} : \sqrt{3} : \sqrt \frac{8}{\pi}

Incorrect

Option 4)

\sqrt{2} :\sqrt \frac{8}{\pi} : \sqrt{3}

Correct

Posted by

prateek

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