Physics Class 12 NCERT Solutions: Chapter 12 Atoms Part 2 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Bohr Atomic Model

Q: 6. A hydrogen atom initially in the ground level absorbs a photon, which excites it to the level. Determine the wavelength and frequency of the photon.

Answer:

For ground level,

Let be the energy of this level. It is known that is related with as:

The atom is excited to a higher level, .

Let be the energy of this level.

The amount of energy absorbed by the photon is given as:

For a photon of wavelength , the expression of energy is written as:

Where,

And, frequency of a photon is given by the relation,

Hence, the wavelength of the photon is 97 nm while the frequency is .