Formula relating to Uncertainty Principle

[ZedCar]

Homework Statement

I was looking at a solution inmy notes which begins:

ΔE = hc/λ -1st eqn

ΔEΔt ~ (h-bar)/E -2nd eqn
Δt ~ (h-bar)/ (hc/λ)
Δt ~ λ/2∏c

(where 'c' is the speed of light)

What formula has been used to go from:

Δt ~ (h-bar)/ (hc/λ)
to
Δt ~ λ/2∏c

Homework Equations

The Attempt at a Solution

 

[TSny]

It's just simplifying. To divide by a fraction, flip the fraction over and multiply. h-bar = h/(2pi).

 

[ZedCar]

Cheers for that TSny...!