Light passes from air into water at an angle of incidence of 42.3 determine the angle of refraction in the water

Explanation:

Refraction occurs when a ray of light passes from a medium into another medium. In this situation, the ray of light bends and changes speed, according to Snell's Law:

where

is the index of refraction of the 1st medium

is the index of refraction of the 2nd medium

is the angle of incidence (the angle between the incident ray and the normal to the boundary)

is the angle of refraction (the angle between the refracted ray and the normal to the boundary)

In this problem, we have:

is the index of refraction of air

is the index of refraction of water

is the angle of incidence in air

Solving for , we find the angle of refraction in water:

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west

it's when something is going so fast it makes a loud noise, breaking the sound barrier, for example: a jet makes a loud noise, not only cause of the jet but because they reached a point where they went so fast that you can year the noise from various parts, kinda like a police car, lets say the car was going   so fast that you hear the siren of the cop car right next to you, but the car is probably a mile a way, it's cos the siren was next to you a few seconds if you understand me