an electron collides with an atom in its ground state. the electron in the hydro

Question

an electron collides with an atom in its ground state. the electron in the hydrogen absorbs energy during the collision to make a transition to a higher energy level. after a short time the electron drops to a lower energy level emitting a photon of a wavelength of 656.4 nm what level was the electron in the hydrogen atom excited to? what was the minimum energy of the colliding electron? an electron collides with an atom in its ground state. the electron in the hydrogen absorbs energy during the collision to make a transition to a higher energy level. after a short time the electron drops to a lower energy level emitting a photon of a wavelength of 656.4 nm what level was the electron in the hydrogen atom excited to? what was the minimum energy of the colliding electron?

Explanation / Answer

It's clear that the electron makes transition from 3rd to 2nd orbit to emit a photon of wavelength of 656.4 nm.

So, the electron in ground state, after collision with another electron jumps to orbit 3.

And the minimum energy of colliding electron must be such that it provides the electron in ground state the energy to make jump from n = 1 to n = 3 orbit.

Energy required to jump from n =1 to n = 3 orbit is;

E = E3 - E1 = -(13.6eV)/(3)2 + (13.6eV)/(1)2 = 12.08 eV.

So, the mnimum energy of the colliding electron must be 12.08 eV.

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