The ratio of de-Brogiie wavelengths of molecules of hydrogen and helium which are at temperature 27°C and 127°C respectivell is
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a
12
b
38
c
83
d
1
answer is C.
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Detailed Solution
de-Broglie wavelength λ=hmvrms, rms velocity of a gas particle at the given temperature (T)is given as12mvrms2=32KT⇒vrms=3KTm⇒mvrms=3mKT∴λ=hmvrms=h3mKT⇒λHλHe=mHeTHemHTH=4273+1272273+27=83