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Atomic Physics

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Calculate the classical frequency for the light emitted by an atom. To do so, note that the frequency of revolution is v/2pir, where r is the Bohr radius. Show that as n approches infinity in

f= 2pi2mk2e4/h3 times 2n-1/(n-a)2 n2

the expression varies as 1/n3 and reduces to the classical frequency.

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The solution uses proof to come to a conclusion. The expert calculates the classical frequency for the light emitted by an atom. The revolution are given.

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Because, classical frequency for the light emitted by an atom is given by the Bohr's formula for an electron jumps from nth level to mth level (n > m),
f = {m*Z^2*e^4/(8*ep^2*h^3)}*(1/n^2 - 1/m^2)
Here, ep = epsilon zero = permittivity of free space.

For, Z = 1 (Hydrogen atom),
f = {m*e^4/(8*ep^2*h^3)}*(1/n^2 - 1/m^2) ...(1)
This formula can be derived as:
Energy of an electron in an orbit of radius r,
E(r) = U + K
U = electrostatic potential energy due to attraction towards nucleus with Z nucleons,
U = -k*Z*e*e/r = -k*Z*e^2/r ......(2)
where, ...

Solution provided by:
  • BEng, Allahabad University, India
  • MSc , Pune University, India
  • PhD (IP), Pune University, India
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