Solve the following problems given below:
Problem 1: Where does an object need to be placed relative to a microscope for its 0.500 cm focal length objective to produce a magnification of -50? (Give your answer to at least three decimal places.)
Problem 2: Where should the 5.00 cm focal length eyepiece be placed to produce a further fourfold (4.00) magnification?
Rework your solution from the beginning and check each step carefully.