Unbelievable! Best video on OPTICAL PATH! Source of JEE Adv 2023 Problem!

A MUST SEE VIDEO ON OPTICAL PATH WITH 3 ILLUSTRATIONS FROM PATHFINDER PHYSICS
Q : (i) A transparent rectangular slab of length l=20 cm and thickness d=4.0 cm is placed in front of converging lens of focal length f=20 cm. A screen S is placed in the focal plane of the lens . Refractive index of the material of the slab increases linearly from at the bottom face by an amount between the bottom and the top faces . A parallel beam is made to incident on the slab as shown in the figure . what kind of light pattern appears on the screen?
(ii) Refractive idex of a material can be adjusted by diffusing impurities ; moreover , by adjusting concentration distribution of diffused impurities , a specimen of any desired gradient of refreactive index can be obtained . Consider a thin disc of uniform thickness d made of a transparent material, refractive index of which is made to vary with distance r from its centre by suitable diffusion of impurities . If a parallel beam of light incident normally on the disc , converges at a distance f(f r) after passing through the disc, find suitable expression for radial variation of its refractive index . Assume refractive index at the centre of the disc to be .
(iii) Refractive index of atmosphere around a planet varies with a altitude h according to equation . Here and k are positive constants . Denoting radius of the planet by R , find the altitude at which a point flash of light spreads around the planet in a spherical layer concentric with the planet in addition to other directions.

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