(Solution) - a Show that if f is the focal length of -(2025 Original AI-Free Solution)

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(a) Show that if f is the focal length of a thin lens in air, its focal length in water is

Where nw is the index of refraction of water and n is that of the lens.
(b) Calculate the focal length in air and in water of a double -concave lens of index of refraction n = 1.5 that has radii of magnitude 30 and 35cm.