c) What is meant by root mean square speed of a gas? Express it in terms of temperature and molecular weight of gas. Calculate rmsvfor He atoms at 300 K. (Take kg).1067.627He−×=m (1,1,3) d) What is Bose-Einstein condensation? Show that Bose-Einstein condensation temperature is given by 3/2B2V612.22π=NmkhTc (1,4) e) i) Write an expression for Planck’s law for energy density of photons in a cavity and calculate total energy density, u. ii) Consider sun as a black body whose interior consists of photons gas at K.1036×=T Calculate the energy density of the solar radiations. Take 4316kmJ107.56−−−×=σ.
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