Correspondence Principle Question

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The discussion focuses on the Bohr model of the atom, specifically analyzing how various quantities change as the principal quantum number (n) increases. As n increases, the frequency of revolution and electron speed decrease, while the electron wavelength, angular momentum, potential energy, kinetic energy, and total energy increase. The expressions for the radius, potential energy, and kinetic energy can be derived using the equations mvr = nh/2π and F = e²/4πεr² = mv²/r, allowing for the calculation of all other quantities.

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Of the following quantities, which increase and which decrease in the Bohr model as n increases? Frequency of revolution, electron speed, electron wavelength, angular momentum, potential energy, kinetic energy, total energy.
 
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What are the expressions for the radius, potential and kinetic energy ? From these, can you not find all the others ?

If you don't know the expression, can you derive it ?

Use the following to derive it : (1) [itex]mvr = nh/2 \pi[/itex], (2)[itex]F = e^2/4 \pi \epsilon r^2 = mv^2/r[/itex]
 

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