the critical angle for red light in diamond is 24.51°
critical angle for violet light in diamond is 24.01°.
given:
wavelength of red light λr =660nm
wavelength of violet light λv =410nm
refractive index for air=1
as the refractive index of red and violet colour in diamond is
Refractive index of red color nr= 2.407
Refractive index of violet color nv= 2.451
as it is mentioned that angle is critical angle,thus θr =90°
so,from Snell's law
n1sinθc=n2 sin 90°
Here,
n1 is the refractive index for incident medium
n2 is the refractive index for refractive medium
θc is the critical angle after which light starts reflecting internally
The critical angle for red light is here,n1=2.407, n2=1
n1sinθc=n2 sin 90°
2.407×sin θc=1×1
sin θc =(1/2.407)
θc=sin-1 0.415
θc=24.51°
Thus,the critical angle for red light in diamond is 24.51°
The critical angle for violet light is,
here,n1=2.451,n2=1
n1sinθc=n2 sin 90°
2.407×sin θc=1×1
sin θc= (1/2.451)
θc=sin-1 0.407
=24.01°
Thus,the critical angle for violet light in diamond is 24.01°.
learn more about Snell's law from here: https://brainly.com/question/2273464
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