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The ratio of de-Broglie wavelengths of molecules of hydrogen and helium which are at temperature $27^{o} C$ and $127^{o} C$ respectively is $\sqrt{\frac{x}{y}}$ . Find x+y

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Correct option is B

de-Broglie wavelength λ=hmvrms , rms velocity of a gas particle at the given temperature (T) is given as 12mvrms2=32kT⇒vrms=3 kTm⇒mvrms=3 mk T∴λ=hmvrms=h3 mkT⇒λHλHe=mHeTHemHTH=4 (273+127)2 (273+27)=83

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The ratio of de-Broglie wavelengths of molecules of hydrogen and helium which are at temperature 27oC and 127oC respectively is xy . Find x+y

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The ratio of de-Broglie wavelengths of molecules of hydrogen and helium which are at temperature $27^{o} C$ and $127^{o} C$ respectively is $\sqrt{\frac{x}{y}}$ . Find x+y