Question

derive the equation of refraction through a glass prism and also find the minimum deviation​

Answer 1

Answer:

In the given diagram,

OP is the incidence ray, which is making the angle i1  with normal, and QR is the angle of emergence, which is represented by i2. A is the prism angle and μ is the refractive index of the prism.

Now, We know that,

A=Prism angle, δ=Angle of deviation, i1=Angle of incidence, i2=Angle of emergent.

In the case of minimum deviation,∠r1=∠r2=∠r

A=∠r1+∠r2

SO, A=∠r+∠r=∠2r

∠r=2A

Now, again

A+δ=i1+i2  (∵ In the case of minimum deviation

 

i1=i2=i and δ=δm)

So, A+δm=i+i=2i

Now, i=2A+δm

Now, from snell's rule,

μ=sin rsin i

μ=sin2Asin

Explanation:

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