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A sphere of refractive index sqrt2 is ke...

A sphere of refractive index `sqrt2` is kept in a space whose center is O.A ray is incident at point A of this sphere and after refraction at A it is internally reflected at point B then refracted at C and finally comes out from this sphere .It is given that the total deviation produced in the incident ray is minimum, if the angle of incidence is given by i= `sin^-1 (sqrt(2/lambda))` then find the value of `lambda`?

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