Question #164561

  A ray of light is incident in air at an angle of 40° to the normal to one face of a 60° glass prism.


   Calculate the angle through which the ray has been deviated by the time it emerges from the prism.


1
Expert's answer
2021-03-09T15:36:15-0500

Angle of prism A=60A=60^{\circ}

Angle of incidence i1=40i_1=40^{\circ}

Let angle of deviation be δ\delta


As we know r1=r2=A2=30r_1=r_2=\dfrac{A}{2}=30^{\circ}

Using snell's law-

 Refractive index μ=sini1sinr1=sin40sin30=1.2855\mu=\dfrac{sin i_1}{sin r_1}=\dfrac{sin 40}{sin30}=1.2855



Angle of deviation is given by-

δ=(μ1)A\delta=(\mu-1)A

=(1.28551)×60=0.2855×60=17.13=(1.2855-1)\times 60\\=0.2855\times 60=17.13^{\circ}


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