1. A microscope has a 31.0x eyepiece and a 66.0x objective lens 18.7 cm apart. For the relaxed eye with the final image at infinity, calculate (a) the total magnification, (b) and the focal length of each lens. (c) What would be the new total magnification of the microscope if the eye was engaged and focused on the human near point of 25.0 cm? (d) How far would the object need to be moved relative to the objective lens in this case of switching from a relaxed eye to an engaged eye?

1. A microscope has a 31.0x eyepiece and a 66.0x objective lens 18.7 cm apart. For the relaxed eye with the final image at infinity, calculate (a) the total magnification, (b) and the focal length of each lens. (c) What would be the new total magnification of the microscope if the eye was engaged and focused on the human near point of 25.0 cm? (d) How far would the object need to be moved relative to the objective lens in this case of switching from a relaxed eye to an engaged eye?