A ray of light passing throa prism of angle 50 deg & RI 1.55 is incident at 35 deg. Calculate r1, r2, deviation & angle of emergence?

A = 50 degree

n  = 1.55, n0 = 1

i = 35 degree

 

Now at the first surface

n/n0 = sin i / sinr1

sinr1 = sin35/1.55 = 0.337 

r1 = 21.89 degree

 

Now, A = r1+r2

50 = 21.89 +r2

r2 = 28.11 degree

 

Now, at the second surface, also

n/n0 = sin r2 / sini2 (i2 is the angle of emergence)

sini2 = sin(28.11)/1.55 = 0.275

i2 = 17.78 degree

 

Furthermore, n = sin((A+D)/2)/sinA/2

sin((A+D)/2) = 1.55*sin25

sin((A+D)/2) = 0.593

(A+D)/2 = 40.42

A+D = 80.84

D = 80.84-50

D = 30.84 degree