The deflection angle would have been 37.29º if the prism had been made of polystyrene plastic.
As we know that the deflection angle is an angle between the moving object from its directed course.
In the following question the deflection angle as laser enters the beam is, B = 22.6º
refractive index of glass, n1= 1.52
refractive index of polystyrene plastic, n2 = 1.59
Now when we see for the second surface then ,
B = 45º - 22.6º
B = 22.40º
So from Snell's law:
n1 sinθ1 = n2 sinθ2
→ sin B / sinθ = n1 / n2
sinθ = (sin 22.40º) × ( 1/ 1.59)
θ = 37.29º
Thus, the deflection angle should be 37.29º if the prism is made of polystyrene plastic.
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