Abeam of x-rays with wavelength λ = 0.300 nm is directed toward a sample in which the x-rays scatter off of electrons that are effectively free. the wavelength of the outgoing electrons is measured as a function of scattering angle, where a scattering angle of 0 means the direction of the x-rays was unchanged when passing through the sample. when looking at all possible scattering angles, what are the longest and shortest wavelengths that the scattered x-rays can have?

Explanation:

The problem relates to Compton Effect in which electrons are scattered due to external radiation . The electron is scattered out and photons relating to radiation also undergo scattering at angle θ .

The formula relating to Compton Effect is as follows

Here  = 3 0 x 10⁻¹¹

For longest θ =180°

=

= .3 x 10⁻⁹ +

= .348 nm

For shortest wavelength θ = 0

Putting this value in the given formula

= .3 nm

blue light is scattered in different directions by the tiny molecules of air. blue is scattered more than other colours because it has a shorter distance to travel which results in smaller waves. this is why we see a blue sky most of the time.