Solve the following problems given below:
Problem I: Calculate the focal lengths and locations of the principal planes and nodal points of a single thick lens in water (nW=1.33) whose surfaces (from left to right) have radii of curvature - 5.5 cm and +7.5 cm, respectively. The lens is 10.5 cm thick and made of material with a refractive index of 1.55.
Problem II: Calculate the location and magnification of the final image formed when an object is placed 5 cm upstream of the first surface.
Please explain clearly with details so that I can follow. Thanks.