Respuesta :
The correct answer is 45.6 degrees.
The refractive index is the velocity or the speed of the light through which the ratio is calculated by comparing that velocity to be present in the vacuum by its velocity in any specified medium which can be water or air and this medium is also called secondary medium and this medium should be greater density than the former one. The refractive index is represented by the letter 'n' and the value of the refractive index for air is 1.0003 and in the case of liquid the refractive index values can range from 1.0010 to 1.0060 and the formula for the refractive index calculation is n = c/v where n is the refractive index, c is the velocity or speed of light and v is the phase velocity of light that means when light is some other phase like liquid or air or refractive index can also be defined as the bending of the light when the light passes from one medium to other of different densities.
Given -
The Refractive index of crown glass is = 1.52
The Refractive index of water is = 1.33
The angle of incidence = 40°
To calculate the angle of refraction in water -
Using Snell's law
n1 sin theta i = n2 sin theta r
n1 / n2 = sin theta r/sin theta i
Where,
n1 = Refractive index of crown glass
n2 = Refractive index of water
theta i = incidence angle
Putting the value we will get
1.52 /1.33 = sin theta r / 40
sin theta r = sin 40 * 1.52 / 1.33
sin theta r = 0.715
So, theta r will be
sin-1 ( 0.715 ) = 45.6 degrees.
Hence the correct answer is 45.6 degrees of the critical angle.
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