Consider a telescope constructed with a plano-convex glass lens followed by a planar CCD detector, viewing a pair of stars with angular separation θ=10 −3 radian. The radius of curvature of the lens is R=60 cm, the lens diameter is D= 10 cm, and the refractive index of the glass is n G =1.58+0.02×(λ 0 /λ) 2, where λ 0=500 nm. The 1 cm×1 cm detector contains a square array of 10 6 pixels. (a) Find the focal length of the lens and the separation of the star images on the detector. Light with wavelength 500 nm is selected by a thin filter placed over the detector, and the detector is located in the image plane. (b) The light from the stars covers the 400−700 nm wavelength range. Determine the size and position of the star images on the detector with the filter removed (neglect spherical aberration). Explain your reasoning and sketch your result.