If the rms of velocity of a gas is v, then

v^{2} T =

constant

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v^{2} / T =

constant

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v T^{2} =

constant

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v is independent of T.

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Solution

The correct option is D $v^{2} / T =$ constant
RMS velocity is given by
$v = \sqrt{\frac{3 k T}{m}}$
$v^{2} = \frac{3 k T}{m}$
For a gas, k and m are constants
$\frac{v^{2}}{T} =$ constant.

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