JEE PHYSICS MCQ: ATOMS

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The Rydberg constant

R

for hydrogen is

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Correct option: D

R = {\left( {\frac{1}{{4\pi {\varepsilon _0}}}} \right)^2}.\frac{{2{\pi ^2}m{e^4}}}{{c{h^3}}}

Option B (

R = \left( {\frac{1}{{4\pi {\varepsilon _0}}}} \right).\frac{{2{\pi ^2}m{e^4}}}{{c{h^2}}}

) is incorrect. The correct formula is

R = {\left( {\frac{1}{{4\pi {\varepsilon _0}}}} \right)^2}\frac{{2{\pi ^2}m{e^4}}}{{c{h^3}}}

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The de-Broglie wavelength of an electron in the first Bohr orbit is The volume occupied by an atom is greater than the volume of the nucleus by a factor of about For a hydrogen atom, when electron jump from

n

=2

{n}=1

, then wave length of radiation emitted found to be

\lambda_0

. Then, for which transition of electron of a 'He' atom, the wavelength of radiation emitted will be equal to '

\lambda_0

'. Energy of characteristic X-ray is a consequence of Taking Rydberg’s constant

{R_H} = 1.097\,\, \times \,\,{10^7}\,\,m

, first and second wavelength of Balmer series in hydrogen spectrum is When hydrogen atom is in its first excited level, its radius is its ground state radius