When monochromatic light passes through the interface between two unknown materials at an angle θ where 0∘<θ<90∘, no changes in the direction of propagation of light are observed. What can be said about the two materials? A. The twomaterials have matching indexes ofrefraction.

B. Thesecond material through which light propagates has a lower index ofrefraction.

C. Thesecond material through which light propagates has a higher indexof refraction.

D. The twomaterials are identical.

A

Explanation:

According to Snell's law refractive index is the ratio of the sine of the angle of incidence to the normal to the barrier (the normal is perpendicular to the surface of the barrier) to the ratio of the sine of refraction (the angle of emergence from the second barrier) and also equals the ratio of the speed of light in the first barrier to the ratio of the speed of light in the second barrier.

Since there is no change in the direction of the propagation of light then the two materials must have matching indexes of refraction.

A. The two materials have matching indices of refraction.

Explanation:

We know that when light moves from one medium to another, usually, it undergoes a process of bending, called Refraction.

This is due to the fact that the two media have different indices of refraction. This means that when the light wave enters the second medium from the first, its speed changes (and ultimately, its wavelength also changes).

So, if light passes through an interface between two media and the direction of the propagation of light does not change, then, it would mean that both media have the same refractive index.