# Thw wave nature of light

#### Dx

If sunlight of color B is scattered through an angle 16 times greater than sunlight of color A, then the wavelength of color B is?

Dx

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#### Tom Mattson

Staff Emeritus
Gold Member
Dx, you should know by now that you have to show your work.

#### Dx

Originally posted by Tom
Dx, you should know by now that you have to show your work.
Tom,
I have been doing just that but if I dont know what to do then why should i put down anything 'ol down. By putting just something down not only wastes your time and mine but I think insults our intellengence as well. I am not here to try and bs anyone. I understand your rules and do comply, sir. But I can't put anything down which I do not have. Thats why I am asking for help.
Thank you, Tom!
Very respectfully,
Dx

Last edited by a moderator:

#### stuffy

You could at least say you don't know where to start so you can get some hints. :P

#### Dx

Originally posted by stuffy
You could at least say you don't know where to start so you can get some hints. :P
I believe this is understood stuffy. If I don't say anything since the forum states "you must include your work with the problems" but I don't want to beat a dying horse here so forget it. I am asking for help you can choose to help or not thats your decision. I don't want to argue with anyone, just asking for anyes help who wants to if not its ok. Anyways, can someone justdelete this thread since its really getting off the subject of what I have asked, please.
Later.
Dx

#### Tom Mattson

Staff Emeritus
Gold Member
Originally posted by Dx
If sunlight of color B is scattered through an angle 16 times greater than sunlight of color A, then the wavelength of color B is?
OK, I assume this is scattering by diffraction. First tell me what is the relationship between wavelength and diffraction angle.

#### Dx

Re: Re: Thw wave nature of light

Originally posted by Tom
OK, I assume this is scattering by diffraction. First tell me what is the relationship between wavelength and diffraction angle.
See this is what thorws me off too. I am unclear what to do so lets go with what your saying if its not right ok then but at least i learned something.
I know defraction refers to the fact that light, likr other waves bends around objects it passes and spreads out thru narrow slits. This patter has interference between rays of light that travel distances which gives me this formula
sin[the] = [lamb]/D. I am to assue that the ans is simply 1/16 of that color of A or no?

Dx

#### Tom Mattson

Staff Emeritus
Gold Member
Re: Re: Re: Thw wave nature of light

Originally posted by Dx
sin[the] = [lamb]/D.
This is the formula for 2-slit interference; I was thinking that it was single-slit diffraction. But OK, let's proceed with this one. If the other one was intended, it is a simple thing to fix.

I am to assue that the ans is simply 1/16 of that color of A or no?
No, you are supposed to calculate the answer to find out what it is. Set up two equations as follows:

sin(&theta;A)=&lambda;A/D
sin(&theta;B)=&lambda;B/D

You also have:

16&theta;A=&theta;B

You need to solve for the ratio: &lambda;B/&lambda;A.

This is not easy to solve, and I am thinking we are on the wrong track by interpreting "scattering" this way. In your book, what topics are discussed in the section in which this problem appears?

Im just going to be lazy and link to this because its pretty much the same principle, you need to determine the y value before finding the angle thinks I.

#### Tyger

Originally posted by Dx
If sunlight of color B is scattered through an angle 16 times greater than sunlight of color A, then the wavelength of color B is?

Dx
I suspect what Dx is talking about is Raleigh Scattering, which is dependent on wavelength and goes as the inverse fourth power of the wavelength, which means B is half the wavelength of A. The factor of 16 is the scattering intensity and not the angle.

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