In a hydrogen like atom the ionisation energy equals 4 times Rydberg's constant for hydrogen. What is the wavelength of radiations emitted when a jump takes place from the first excited state to the ground state? What is the radius of first Bohr's orbit?
The ionization energy E of a hydrogen-like Bohr atom of atomic number Z is given by,
where the Rydberg constant is
Given that,
Ionisation energy is equal to four times the rydberg constant.
i.e.,
or,
(i) Energy of radiation emitted (E) when the electron jumps from the first excited state to the ground state is given by,
i.e.,
Wavelength of the radiation emitted,
(ii) Radius of the first Bohr orbit,
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