Calculate the critical angle between diamond (n = 2.42) and quartz (n = 1.46)?

23°
37°
52°
60°

37°

Explanation:

Total internal reflection is a phenomenon that occurs when a ray of light is moving from a medium with higher index of refraction to a medium with lower index of refraction; in this case, there exist a value of the angle of incidence (called critical angle, ) above which no refraction occurs, and all the light is reflected back into the original medium.

The value of the critical angle between two mediums is given by the formula:

where

is the index of refraction of the 1st medium

is the index of refraction of the 2nd medium

In order to have total internal reflection, it must be .

In this problem:

is the index of refraction of diamond

is the index of refraction of quartz

Substituting, we find the value of the critical angle:

here we know that ball will drop down by total distance 3.2 m

so here we know that

now using kinematics

now in the same time it will cover horizontal distance of 0.75 m

so speed of the ball will be

report!

explanation:

physics means: "the branch of science concerned with the nature and properties of matter and energy. the subject matter of physics, distinguished from that of chemistry and biology, includes mechanics, heat, light and other radiation, sound, electricity, magnetism, and the structure of atoms."