Give the relationship between the wavelength of light and its angle of

1.	Give the relationship between the wavelength of light and its angle of deviation, when it is passed through a prism.
Answer» Let, A = angle of prism D= angle of deviation N = refractive index λ_vacuum= wavelength in vacuum λ_medium = wavelength in medium We know n = \(\frac{sin(\frac{A\,+\,D}{2})}{sin(\frac{A}{2})}\) n = λ_vacuum/λ_medium so, λ_medium/λ_vacuumx \(\frac{sin(\frac{A}{2})}{{sin(\frac{A\,+\,D}{2})}{}}\)

Give the relationship between the wavelength of light and its angle of deviation, when it is passed through a prism.

Answer»

Let,

A = angle of prism

D= angle of deviation

N = refractive index

λ_vacuum= wavelength in vacuum

λ_medium = wavelength in medium

We know

n = \(\frac{sin(\frac{A\,+\,D}{2})}{sin(\frac{A}{2})}\)

n = λ_vacuum/λ_medium

so,

λ_medium/λ_vacuumx \(\frac{sin(\frac{A}{2})}{{sin(\frac{A\,+\,D}{2})}{}}\)