Question

An electron is moving from n=6 to n=2 calculate the energy gap​

Answer 1

Explanation:

4.85⋅10−19 J

Explanation:

The question wants you to determine the energy that the incoming photon must have in order to allow the electron that absorbs it to jump from ni=2 to nf=6.

A good starting point here will be to calculate the energy of the photon emitted when the electron falls from ni=6 to nf=2 by using the Rydberg equation.

1λ=R⋅(1n2f−1n2i)

Here

λ si the wavelength of the emittted photon

R is the Rydberg constant, equal to 1.097⋅107 m−1

Plug in your values to find

1λ=1.097⋅107.m−1⋅(122−162)

1λ=2.4378⋅106.m−1

This means that you have

λ=4.10⋅10−7.m

So, you know that when an electron falls from ni=6 to nf=2, a photon of wavelength 410 nm is emitted. This implies that in order for the electron to jump from ni=2 to