magnification of the image formed by one of Find the focal length of the lens and the separation between the two halves Draw the

Question

magnification of the image formed by one of Find the focal length of the lens and the separation between the two halves Draw the ray diagram for image formation A ray of light travelling in air is incident at grazing angle incident angle 90 on a long rectangular slab of a transparent medium of thickness t 1 0 m The point of incidence is the origin A 0 0 The medium has a variable index of refraction n y given by n y ky 3 2 1 1 2 where k 1 0 meter 3 2 val An image Y is formed of a point object X by a lens whose t 1 0m 1 8m X 1996 AIR P x y B x y MEDIUM A 0 0 AIR The refractive index of air is 1 0 Yay Obtain a relation between the slope of the trajectory of the ray at a point B x y in the medium and the incident angle at that point Obtain an equation for the trajectory y x of the ray in the medium Determine the coordinates x1 y of the point P where the ray intersects the upper surface of the slab air boundary indicate the path of the ray subsequently 1995 X

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