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The temperature at which the root mean squres speed of a gas will be half its value at `0^(@)C` is (assume the pressure remains constant)

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The temperature at which the root mean squres speed of a gas will be half its value at `0^(@)C` is (assume the pressure remains constant)
A. `-86.4^(@)C`
B. `-204.75^(@)C`
C. `-104.75^(@)C`
D. `-6825^(@)C`
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Correct Answer - A
`v_(rms)propsqrtT`
rms speed will remain half if temperature become (1/4) th or `((273)/(4)-273)"^(@)C` or `-204.75^(@)C`
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