Question

Snells law modified for total internal reflection

Answer 1

Snell's law (also known as Snell–Descartes law and the law of refraction) is a formula used to describe the relationship between the angles of incidence and refraction, when referring to light or other waves passing through a boundary between two different isotropic media, such as water, glass, or air.

In optics, the law is used in ray tracing to compute the angles of incidence or refraction, and in experimental optics to find the refractive indexof a material. The law is also satisfied in metamaterials, which allow light to be bent "backward" at a negative angle of refraction with a negative refractive index.

Snell's law states that the ratio of the sines of the angles of incidence and refraction is equivalent to the ratio of phase velocities in the two media, or equivalent to the reciprocal of the ratio of the indices of refraction[citation needed]:

{\displaystyle {\frac {\sin \theta _{2}}{\sin \theta _{1}}}={\frac {v_{2}}{v_{1}}}={\frac {n_{1}}{n_{2}}}}

with each {\displaystyle \theta } as the angle measured from the normal of the boundary, {\displaystyle v} as the velocity of light in the respective medium (SI units are meters per second, or m/s), {\displaystyle \lambda } as the wavelength of light in the respective medium and {\displaystyle n} as the refractive index (which is unitless) of the respective medium.

Answer 2

Answer࿐

Laws of reflection:-

1st law:-The incident ray, the reflected ray,and the normal at the point of incidence lie on the same plane.

2nd law:- The angle of incidence is equal to the angle of reflection.