The critical angle in air for a particular type of glass is 39.0°. what is the speed of light in this class glass? (c = 3.00 × 108 m/s

Explanation:

As we know that the critical angle is the maximum angle for a given medium for which light ray will show the phenomenon of refraction into air

After critical angle the light will bend into the same medium and will show total internal refraction.

So here at critical angle the angle of refraction must be 90 degree into air

So here we know

now we know by the speed of light in medium is given as

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .