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Question -

A hydrogen atom initially in theground level absorbs a photon, which excites it to the = 4 level. Determine the wavelengthand frequency of the photon.



Answer -

For ground level, n1 = 1

Let E1 be the energy of this level. It is known that E1 is related with n1 as:

The atom is excited to a higherlevel, n2 = 4.

Let E2 be the energy of this level.

The amount of energy absorbed bythe photon is given as:

E2 − E1

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

Where,

h = Planck’s constant = 6.6 × 10−34 Js

c = Speed of light = 3 × 108 m/s

And, frequency of a photon isgiven by the relation,

Hence, the wavelength of thephoton is 97 nm while the frequency is 3.1 × 1015 Hz.

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