Guest

Find the angle of minimum deviation produced by an equilateral prism of refractive index 1.55. Also find the angle of minimum deviation when the prism is completely immersed in water (n=1.33)

Find the angle of minimum deviation produced by an equilateral prism of refractive index 1.55. Also find the angle of minimum deviation when the prism is completely immersed in water (n=1.33)

Grade:12

1 Answers

Arun
25758 Points
3 years ago

(D_m)= 2r= A

So, (D_m)= 2(i-r) (You already know)

Now, 2r= 2(i-r)

Finally, i= 2r

Now, the refractive index given in the question is 1.5

So, {sin (i)}/{sin (r)}= 1.5

Now putting the value of i as 2r in the above equation, we get-

{sin (2r)}/{sin (r)}= 1.5

On using the “Sine Addition formula”,

2{cos (r)}= 1.5

So, {cos (r)}= 0.75

So, r= 41approx

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free