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Q.

The temperature of the gas is raised from $27^{\circ} C to 927^{\circ} C$ the root mean square velocity is

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a

$\sqrt{927 / 27} time the earlier value$

b

same as before

c

halved

d

doubled

answer is D.

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Detailed Solution

$uα \sqrt{T} or u_{1} / u_{2} = \sqrt{T_{1} / T_{2}} = \sqrt{\frac{27 + 273}{927 + 273}} = \sqrt{\frac{300}{1200}} = \frac{1}{2} u_{2} = 2 u_{1}$

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