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Prism|Image Formation After The Refraction At Curved Surface

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An extended object of size 2cm is placed at a distance of 10cm in air (n = 1) form pole, on the other side of refracting surface has refractive index n = 2 . Find the positon, nature and size of image formed after single refraction through the curved surface.

An extended object of size 2 cm is placed at a distance of 10 cm in air (n = 1) from pole, on the principal axis of a spherical curved surface. The medium on the other side of refracting surface has refractive index n = 2. Find the position, nature and size of image formed after single refraction through the curved surface.

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The angle of a prism is A . One of its refracting surfaces is silvered. Lihgt rays falling at an angle of incidence 2A on the first surface returns back through the same path after suffering reflection at the silvered surface. The refractive index. mu , of the prism is

The image of an object placed in air formed by a convex refracting surface is at a distance of 10 m behind the surface. The image is real and is at (2^(rd))/(3) of the distance of the object from the surface. The wavelength of light inside the surface is (2)/(3) times the wavelength in air. The radius of the curved surface is (x)/(13)m . The value of 'x' is _________.