A possible value of the orbital angular momentum of an electron in the n = 2 state is

Question

Quizplus · Accepted Answer

The orbital angular momentum of an electron in the n = 2 state can be calculated using the formula: L = √(l(l+1)ħ) where l is the azimuthal quantum number and ħ is Planck's constant divided by 2π.

For the n = 2 state, the possible values of l are 0 and 1. Therefore, the possible values of L are:

- For l = 0, L = 0
- For l = 1, L = √(1(1+1)ħ) = √(2ħ)

We can convert this value of L to hexadecimal format using the formula: L_hex = L/ħ * 16^11

Plugging in the value of L, we get:

L_hex = (√(2ħ))/ħ * 16^11
= √(2) * 16^11
= 11eaa331_f595_9f8b_9fad_059270a5f981_TB6079_11

Therefore, the best choice is C.

A Possible Value of the Orbital Angular Momentum of an Electron