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In Rutherford nuclear model of an atom, for a dynamically stable orbit in hydrogen atom, the orbit radius varies with the velocity of the electron as where is,
(Ignore radiation due to motion of electric charge)
(a)
(b)
(c)
(d)

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Important Questions on Atomic Structure
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A hydrogen atom is in a state with energy . In the Bohr model, the angular momentum of the electron in the atom with respect to an axis at the nucleus, is

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The potential energy of the electron in the first excited state of the hydrogen atom is

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Wavelength, is emitted when an atom moves from, energy level to, energy level. If the transition takes place from, energy level to, energy level, then the emitted wavelength will be

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The series corresponding to lowest wavelength transition in - atom.

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If is Rydberg constant then, the shortest wavelength of the Balmer series of the hydrogen atom is:
