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In an atom, two electrons move around the nucleus in circular orbits of radii R and 4R. The ratio of the times taken by them to complete one revolution is
 

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Important Questions on Atoms, Molecules and Nuclei

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A particle of charge q mass v is moving with constant speed v and perpendicular to a constant magnetic field B follows circular path. If the angular momentum about the Centre of this circle is quantized so that mvr=nh2π, then the allowed radii for the particle are given by,
 
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The radius of hydrogen atom in its ground state is 5.3×10-11 m. After collision with an electron, it is found to have a radius of 13.25×10-10 m. The principal quantum number n of the final state of the atom is
 
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When the electron in hydrogen atom is excited from the 4th  stationary orbit to the to 5th stationary orbit, the change in the angular momentum of the electron in joule-second is h=6.64×10-34 J s
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A ground state hydrogen atom has an energy of -13.6eVn=3. If the electron is excited to the third energy state, its energy becomes,
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Energy in a Bohr's orbit is given to be equal to Bn2  with B=16×10-18 J. The wavelength of the radiation, when the electron jumps from fourth orbit to second orbit is c=3×108 m s-1
 
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The series limit wavelength of the Lyman series for the hydrogen atom is given by,
 
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The shortest wavelength in hydrogen spectrum of Lyman series when RH=109678cm-1 is
 
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The ratio of the frequencies of the long wavelength limits of the Brackett and Pfund series of hydrogen is