You're mixing up n1 and n2. Start from Snell's law and derive the expression for total internal reflection.Sloan650 said:Im using Sin ic = n1/n2
So?Sloan650 said:i know by squaring both sides the sqaure root will disappear. But on the other side Nmax = 1.
Start by squaring both sides and then go from there.How does it rearrange so i get a positive number to square root to find n2?
Show what you did symbolically, step by step.Sloan650 said:every time i try to rearrange to find n2 i get math error!
The equation for calculating critical angle is θc = sin⁻¹(n2/n1), where n1 is the refractive index of the first medium and n2 is the refractive index of the second medium.
Critical angle is the angle of incidence at which the refracted ray will travel along the interface between two media. Any angle of incidence greater than the critical angle will result in total internal reflection.
The critical angle is directly proportional to the refractive index of the first medium and inversely proportional to the refractive index of the second medium. This means that as the refractive index of the first medium increases, the critical angle also increases, while a higher refractive index of the second medium will result in a smaller critical angle.
The critical angle can be affected by the refractive indices of the two media, the angle of incidence, and the wavelength of light. It can also be affected by external factors such as temperature, pressure, and the presence of impurities in the medium.
The critical angle is used in a variety of practical applications, such as in fiber optics, where it is used to ensure that light is transmitted through the fiber and does not escape through the sides. It is also used in the design of prisms and lenses, as well as in the field of optics and photonics.