Misr said:when light rays fall perpendicularly on a separating surface between two media it doesn't refract according to Snell's law
and it is the same with sound waves
how to prove something like that mathematically??
Thanks in advance
I want to know howwhich mathematically says that there is no refraction?
I don't understand what are you trying to say but when light falls perpendicular to the surface means that the angle is 0 not 90Well the sin 90 degrees, or perpendicularity, is 1. So...multiplying any number by zero will give the same number, ergo no refraction.
Misr said:I don't understand what are you trying to say but when light falls perpendicular to the surface means that the angle is 0 not 90
so on appling snells law
n1sin(θ1) = n2sin(θ2)
where sin0=0
therefore n2sin(θ2)=0
and since n2 can't be zero of course
then θ2=0 so no refraction takes place
right?
Refraction is the bending of sound and light as they pass through different mediums, such as air, water, or glass. This occurs due to the change in speed of the wave as it enters a new medium.
Refraction causes the path of sound and light to change direction as they move from one medium to another. This can result in the sound or light appearing to be closer or farther away, as well as creating optical illusions.
The change in speed of sound and light is caused by the change in density of the medium. When the medium is denser, the sound or light waves slow down and bend towards the normal line, while in less dense mediums, they speed up and bend away from the normal line.
Refraction can either speed up or slow down the sound and light waves as they pass through different mediums. This change in speed is what causes the bending of the waves and can also affect the intensity and frequency of the wave.
Refraction is used in various fields such as optics, telecommunications, and acoustics. Some examples include lenses and prisms used in cameras and eyeglasses, fiber optics for transmitting data, and the design of concert halls for optimal sound quality.