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KVPY Sample Paper KVPY Stream-SX Model Paper-15

  • question_answer
    A mixture of 2 moles of helium gas (atomic mas\[=4u\]) and I mole of argon gas (atomic mas\[=40u\]) is kept at 300 K in a container. The ration of their rms \[\text{speeds}\,\,\left[ \frac{{{\text{V}}_{rms}}\,(\text{helium})}{{{\text{V}}_{rms}}(\text{argon})} \right],\,\text{is}\,\text{close}\,\text{to}:\]

    A) 2.24

    B) 0.45

    C) 0.32

    D) 3.16

    Correct Answer: D

    Solution :

    \[\frac{{{\text{V}}_{\text{rms}}}\text{(He)}}{{{\text{V}}_{\text{rms}}}\text{(Ar)}}\,\text{=}\,\sqrt{\frac{{{\text{M}}_{\text{Ar}}}}{{{\text{M}}_{\text{He}}}}}\,\text{=}\,\sqrt{\frac{\text{40}}{\text{4}}}\text{=}\,\text{3}\text{.16}\]


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