Critical angle of a material to air is 30 degree then the refractive index of material will be
use Snell's Law
To determine the refractive index of a material, we can make use of the relationship between the critical angle and the refractive index.
The critical angle (θc) is the angle of incidence at which the refracted ray is at an angle of 90 degrees to the normal. In other words, when light passes from a medium with a higher refractive index to a medium with a lower refractive index, the critical angle is the angle of incidence that produces the refracted ray along the boundary.
The relationship between the critical angle and the refractive index is given by:
sin(θc) = 1 / n
where n represents the refractive index of the material.
In this case, we are given that the critical angle is 30 degrees. Therefore, we can substitute this value into the equation:
sin(30) = 1 / n
To solve for the refractive index (n), we rearrange the equation:
n = 1 / sin(30)
Evaluating the expression:
n = 1 / 0.5
n = 2
Hence, the refractive index of the material is 2.