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 :
  • A
    ${v}_{A}={v}_{{B}} \neq {v_C}$
  • B
    $\frac{1}{v_{A}}\,>\,\frac{1}{v_{B}}\,>\,\frac{1}{v_{c}}$
  • C
    ${v}_{{A}}={v}_{{B}}={v_C}=0$
  • $\frac{1}{v_{A}}\,<\,\frac{1}{v_{B}}\,<\,\frac{1}{v_{C}}$

Answer

Correct option: D.
$\frac{1}{v_{A}}\,<\,\frac{1}{v_{B}}\,<\,\frac{1}{v_{C}}$
d
$V_{\text {RMS }}=\sqrt{\frac{3 R T}{M}}$

$m_{A}\,<\,m_{B}\,<\,m_{c}$

$\Rightarrow V_{A}\,>\,V_{B}\,>\,V_{c}$

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

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