" Prove that for any value of angle i,rays "1" and "2" are par "

A ray of light strikes a glass slab of thickness t. (i) Prove that it emerges on the opposite face, parallel to the initial ray. (ii) (ii) Prove that the value of deflection of beam which passed through the plate is : t sini_(1)[1-sqrt(((1-sin^(2)i_(1))/(._(a)mu_(g)^(2)-sin^(1)i_(1))))] (iii) Prove that for a small angle of incidence i_(1) , the internal shift x is given by x=t i_(1)(1-(1)/(._(a)mu_(g))) where ._(a)mu_(g) is the refractive index of glass with respect to air.

Prove that any two adjacent angles of a parallelogram are supplementary .

With a neat labeeled diagram, prove that if the angle of incidence and angle of emergence of a light ray falling on a glass slab are I and e respectively, then i=e.

Solve the following problems : If the angle between the incident ray and the reflected ray is 90⁰ , what are the values of the angle of incidence and angle of reflection ?

Prove that the sum of angles of any convex quadrilateral is 360^(@) .

A light ray is incident on a plane mirror making an angle of 45^(@) with respect to the surface of the mirror. The value of the angle between incident ray and reflected ray is ____ ""^(@)

Prove that i = e, If the angle of incidence and angle of emergence subtended by a light ray falling on a surface of glass slab are i and e respectively. How much angular deviation is suffered by the incident ray.

A light rays is incident on a prism of prism angle A and refractive index mu . Show that the smallest value of the angle of incidence for which the reflected ray does not suffer total internal reflection at the second face, i.e. just comes out of it, is given by i=sin^-1[(mu^2-1)^(1//2)sinA-cosA] .

At night PAR value is