Calculating Scattered Light Intensity at Different Wavelengths

[senobim]

Homework Statement

Light is scattered in cuvette by Reyleigh scattering, and is measured by monochromator.
Light intesity is given by I(ν)=I₀ν^1/2 relationship

What is scattered light intensity at λ = 400nm if at λ = 800nm is I₈₀₀?

Homework Equations

Scattered light intensity is proportional to I = 1/λ⁴

and ν = c/λ --> I(λ) = I₀(c/λ)^1/2

The Attempt at a Solution

That's about it I can think of about this problem, any hints would be appreciated! ;]

 

[mfb]

Your scattered light intensity is the product of the initial light intensity (which you transformed already) and the fraction that gets scattered (where you have the relation).

It is a bit unclear if intensity is meant "per interval of ν" or "per interval of λ". If the intensity formula and the answer use different conventions you would have to transform that.