A double concave lens of glass with n = 1.53 has surfaces of 5 D (diopters) and 8 D, respectively. The lens is used in air and has an axial thickness of 3 cm.
a. Determine the position of its focal and principal planes.
b. Also find the position of the image, relative to the lens center, corresponding to an object at 30 cm in front of the first lens vertex.
c. Calculate the paraxial image distance assuming the thin-lens approximation. What is the percent error involved?
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