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Kinetic Theory of Gases — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysicsKinetic Theory of Gases1 Mark
MCQ
Suppose a container ia evacuated to leave just one molecule of a gas in it. Let $\mathrm{V}_{\mathrm{a}}$ and $\mathrm{v}_{\mathrm{rms}}$ represent the average speed and the $\text{rms}$ speed of the gas.
  • A
    $v_a>v_{r m s}$
  • B
    $v_{\mathrm{a}}$
  • ✓
    $v_{\mathrm{a}}=v_{\mathrm{rms}}$
  • D
    $v_{\mathrm{rms}}$ is undefined
✓

Answer

Correct option: C.
$v_{\mathrm{a}}=v_{\mathrm{rms}}$
Speed is constant and same for a single molecule.
Thus, $\text{rms}$ speed will be equal to its average speed.

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