Physics 1. Derive the expression ε(ω)=1- ωp 2 / ω2 , ωp2 =ne2 /ε0m for the dielectric constant as a function of ω for a free electron gas of number density n.   2. Show clearly that metals are opaque to light for which ω is less than ωp.   3. Calculate the wavelength cutoff for Na metal if the volume of a primitive unit cell in Na is 35×10-30 m3   how to solve this problem?

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Q: If a semiconductor photodiode can detect a photon with a maximum wavelength of 400nm, then its band…

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Q: 3. Kittel, Ch4-7. Free energy of photon gas. (a) Show that the partition function of a photon gas is…

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Q: (d) the band width.

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Q: 4. Consider the states with = 4 and s = 1/2. (a) For the state with the largest possible j, and…

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Q: Q.2: Calculate the longest wavelength for electron revolving in the fifth excited silicon atom,…

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Q: L. An electron is confined in a cubical box of side 1Å. (i) Find its lowest energy (ii) what is the…

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A: The given equations are, a) x = A sin ωtb) x = A sin ωt + B cos ωtc) x = A cos ωt+ϕhere,ω = ksMA, B,…

Q: how much energy does it take to singly ionize it?

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Q: If a semiconductor photodiode can detect a photon with a maximum wavelength of 400nm, then its band…

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The Bohr model

Students often get confused between Rutherford’s model and Bohr model of an atom. They interpret the postulates of both these models to be the same, which is incorrect. Rutherford’s model differs from Bohr’s model in the following ways: