How Do You Calculate µB Using Quantum Mechanics Equations?

[jasonchiang97]

Homework Statement

Calculate µ_B given the following
Δλ = 5.44 * 10^-15 m
B=0.383 T
h=6.626*10^-34 J m²kg/s
λ = 585.2 nm

Homework Equations

Δν = ± µ_BB/h
λν = c

The Attempt at a Solution

Well I attempted it two ways however I didn't really get past the first step

First method: Δν = v-v₀ = c[1/λ - 1/λ₀] but I don't know what λ₀ or λ is

Second method: λ= 1/v so λ/Δλ = v/Δν but v is unknown so I couldn't really solve for Δνunless I just said v=c/λ.

 

[patric44]

but I don't know what λ0 or λ is

but you just said that λ = 585.2 ?! and you have Δλ so :

Δλ = λ - λ0
λ0 = (λ - Δλ)
Δν = c[1/λ - 1/(λ - Δλ)]