A photon of wavelength interacts with a stationary hydrogen atom in ground state. During the interaction, the whole energy of the photon is transferred to the electron of the atom. State which possibility is correct.

(Consider, velocity of light =, ionisation energy of hydrogen )

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Electron will be knocked out of atom

Electron will go to any excited state of the atom

Electron will go only to first excited state of an atom

Electron will keep orbiting on the ground state of the atom

answer is D.

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Detailed Solution

Concept- You can choose from a list of keywords and then use the information provided to solve a problem. such as photon energy, electron energy, the steady state of hydrogen, and so forth. To obtain the required outcome, utilise the aforementioned formulas.
The wavelength of the photons in the query is 300 nm. Hydrogen engages in photon interaction. In the ground, this hydrogen is constant.

The electron of an atom receives the full energy of the photon during this encounter. The next step is to predict what will happen to the electron and how it will behave.
What will happen to the electron and how will it behave? Can you compute that?
To solve this, first determine the photon's energy. As they mention photon energy in the inquiry, we are aware of that.

And therefore,

By solving,

Hydrogen is at ground level. We know that the value of energy of hydrogen is

The energy of a photon is lower than the energy of an electron, as seen in equations one and two. As a result, more energy than 4 eV is needed to excite the hydrogen atom in its next state, at n=2. As a result, there is no excitation, and the electrons on the atom's ground state will continue to orbit.
Hence,the correct option is (4).

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