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Q.

For a gas, the rms speed at 800 K is

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a

twice the value at 200 K

b

same as that at 200 K.

c

four times the value at 200 K

d

half the value at 200 K

answer is C.

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Detailed Solution

$V_{ms} \propto \sqrt{T}$
$∴ \frac{v_{1}}{v_{2}} = \sqrt{\frac{T_{1}}{T_{2}}} = \sqrt{\frac{800}{200}} \Rightarrow v_{1} = 2 v 2$

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