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Define radius of curvature...

Define
radius of curvature

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An object is placed 60 cm away from a convex mirror. The size of the image is (1)/(3)rd the size of the object. Determine the radius of curvature of the mirror.

The focal lengtli of a equiconvex lens is 2/3 times the radius of curvature of the surface. What is the refractive index of the medium?

For a convex mirror, prove that its focal length is equal to half of its radius of curvature?

An image of size 1/n times the object size is formed in a convex mirror. If r is the radius of curvature of the mirror what would be the object distance?

If in a plano-convex lens, the radius of curvature of the convex surface is 10cm and the focal length of the lens is 30cm, then what is the refractive index of the material of lens ?