Derive the Bohrâ??s quantisation condition for angular momentum of the orbiting of electron in hydrogen atom, using de Broglieâ??s hypothesis.

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In the Bohr model, the wavelength associated with the electron is given by DeBroglie relationship, and the standing wave condition that circumference = whole number of wavelengths. In the hydrogenic case, the number n is the principal quantum number. These can be combined to get an expression for the...
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In the Bohr model, the wavelength associated with the electron is given by DeBroglie relationship, and the standing wave condition that circumference = whole number of wavelengths. In the hydrogenic case, the number n is the principal quantum number. These can be combined to get an expression for theangular momentumof the electron in orbit. (Note that this assumes a circular orbit, a generally unwarranted assumption.) Use in Bohr orbit Thus L is not only conserved, but constrained to discrete values by the quantum number n. Thisquantization of angular momentumis a crucial result and can be used in determining the Bohr orbit radii and Bohr energies. read less
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