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A concave mirror and convex lens are immersed in water. What change, if any, do you expect in the focal length of the two?

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Focal length of the concave mirror does not change because it is about half its radius of curvature and has nothing to do with the external medium. On the other hand, the focal length of the convex lens will increase because the refractive index of glass with respect to water is less than refractive index of glass with respect to air.

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