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(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= 41o approx
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