1.For a given prism the angle of incidence is changed from 0° and 90°, the angle of deviation [ 1a) increasesb) decreasesc) first decreases and then increasesd) first increases and then decreases
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Answer:
A glass prism of refracting angle 72 degree and index of refraction 1.66 is immersed in a liquid of refractive index 1.33. What is the angle of minimum deviation for a parallel beam of light passing through the prism?
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A glass prism apex angle 72o and refractive index 1.66 is immersed in a liquid of refractive index 1.33. What is the angle of minimum deviation for a parallel beam of light passing through the prism?
The prism formula is μ=sin(A+δm2)sin(A2), where μ,A and δm are the refractive index of the material of the prism with respect to that of the medium from which the ray of light is entering the prism, the angle of the prism and the angle of minimum deviation respectively.
From the prism formula we get a formula for the angle of minimum deviation of the prism as δm=2arcsin(μsin(A2))−A.
It is given that A=72o.
μ=μglassμliquid=1.661.33.
⇒δm=2arcsin(μsin(A2))−A=2arcsin(1.661.33sin(72o2))−72o
=2arcsin(1.661.33sin(36o))−72o=22.3826o.
⇒ The angle of minimum deviation is 22.3826o.