The ratio of areas within the elctron or...

The ratio of areas within the elctron orbits for the first excited state to the ground sate for hydrogen atom is

`4:1`

`16:1`

`8:1`

`2:1`

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What is the ratio of radii of orbits corresponding to first excited state and ground state in hydrogen atom?

Find the wavelength of electron orbiting in the first excited state of hydrogen atom.

(a) (i) Find the wavelength of the radiation required to excite thye elctron in Li(++) from the first to the third Bohr orbit. (ii) How many spectal lines are observed in the emission spectrum of the above excited system ? (b) The energy needed to detach the electron of a hydrogen-like ion in ground state in 4 rydberg. (i) What is the wavelength of the radiation emitted when the electron jumps from the first excited state ot the ground state ? (ii) What is the radius of first orbit ? (c ) A hydrogen sample is prepared in a particular excited state A. Photons of energy 2.55 eV get absorbed into the sample to take some electrons to a further excited state B. Find the quantum number of the A and B. (d) A hydrogen atom in a state having a binding energy of 0.85 eV makes transition to a state with excitation energy 10.2 eV. (i) Identify the quantum number n of the upper and the lower energy states. Find lambda .

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