Transition A produces light with a wavelength of 400 nm

[Votz]

I am having difficulty with this problem. I have solved all of the other ones and got them correct, but this one is stumpimg me.

Transition A produces light with a wavelength of 400 nm. Transition B involves twice as much energy as A. What wavelenth light does it produce?

Help please.

 

[Votz]

I am not looking for the answer from anyone. I just need to know how to figure it out. I want to learn and need some assistance.

 

[Vagn]

What is the equation relating energy and wavelength of a photon and how would changing the energy change the wavelength?

Answer in the spoiler. 1st Spoiler just has the equation, 2nd has a solution.

Spoiler

Eλ=hc
So for λ=400 nm E=Eo

Spoiler

2Eoλ=hc

So to get the same value for hc, λ must be half of the original value, so:
λ=200 nm.

 

[Votz]

Thanks so much for the help. I am having learning this, but it has been 20years since I have taken college algebra and there is much more going on here than algebra. Love the knowledge!

 

[Drakkith]

I'm assuming that when you double the frequency you double the energy? Which would equal halving the wavelength?

 

[ibysaiyan]

Ah I am late,your query has been answered already.
-ibysaiyan