Approximately what is the smallest detail observable with a microscope that uses ultraviolet light of frequency 1.06×10^15

The dispersion curve of glass is the curve that describes how the index of refraction of glass changes as a function of the wavelength. This curve can be represented approximately by Cauchy's empirical equation, n = A + B/2² where for a specific glass in question A = 1.40 and B = 2.5 × 10 nm² (yes, those units are nanometer squared). Find the phase and group velocities for light of 500nm wavelength in that glass.

The figure below depicts spectral reflectance measurements for three different materials:  a green leaf from a healthy plant, a sheet of shiny blue paper, and the palm of a human hand.  The measurements are labeled 1 (black line), 2 (red line), and 3 (blue line).  Match the measurements to the most appropriate material type

An isotropic point source emits light at wavelength 470 nm, at the rate of 210 W. A light detector is positioned 450 m from the source. What is the maximum rate dB/dt at which the magnetic component of the light changes with time at the detector's location? The speed of light is c = 3 x 108 m/s, and Ho = 47 x 107 H/m. Number 2.98754 UnitsTT/s the tolerance is +/-5%