Static light scattering (8 points) Consider the geometry sketched below for a static light scattering experiment. A laser beam with wavelength A is linearly polarized along the z-direction and hits the sample along the y- direction. The scattering object is a small spherical particle with diameter d /20. The scattering intensities along the +x, ty, -y, and +z directions are denoted as I+x, Ity, Ly, and I+7, T respectively. E(y, t) = Ezcos(kyy - wt) Laserbeam a) .What are the intensity ratios I+7/1+x and Ity/L.y ? (For the latter, neglect the primary beam) (4p) b) How would the scattering intensity change, if the wavelength of the laser light, which is used for the experiment, could be reduced by a factor of three? (3p) c) Assume the particle is a bit larger, but still its diameter is less than 1/4 (d /4). Which of the following relations for the scattering in -y and +y direction is true in that case? i) Lylly > 1 ii) Ly/lay = 1 iii) Lylly