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A certain thin lens is made of glass with refraction index ?lens=1.500. In air, where the...

A certain thin lens is made of glass with refraction index ?lens=1.500. In air, where the index of refraction is 1.000, the lens has focal length ?0=15.5 cm. What is the focal length ? of the lens when immersed in water, where the index of refraction is 1.330?

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Answer #1

When the lens is in air, focal length of lens is given by

where is refractive index of glass relative to air.

and are radii of curvature of lens.

When the lens is in water, focal length of lens is given by

where is refractive index of glass relative to water.

Dividing the above equations with one another,

Focal length of glass lens in water is

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