The figure below shows an X-ray diffraction pattern for lead (Pb) taken using a diffractometer and monochromatic x- radiation having a wavelength of 0.1542 nm; each diffraction peak on the pattern has been indexed. (111) (200) (311) (222) (220) u (400) (331) (420) (422) 0.0 10.0 20.0 30.0 70.0 80.0 90.0 100.0 40.0 50.0 60.0 Diffraction angle 20 (a) Compute the inter-planar spacing dnk for five set of planes indexed (b) also, determine the corresponding lattice parameter of Pb for each of the first five peaks. Note: assume the order of diffraction is 1 for all peaks. Show details of your work here below