A narrow beam of light is incident from air onto apolystyrene surface with index

Question

A narrow beam of light is incident from air onto apolystyrene surface with index ofrefraction 1.49. Find the angle ofincidence for which the corresponding angle of refraction isone-half the angle of incidence. (Hint: You might want to use thetrigonometric identity sin (2) = 2sin() cos().) I'm not really sure how to go about doing this one. Any hintsor help would be greatly appreciated! A narrow beam of light is incident from air onto apolystyrene surface with index ofrefraction 1.49. Find the angle ofincidence for which the corresponding angle of refraction isone-half the angle of incidence. (Hint: You might want to use thetrigonometric identity sin (2) = 2sin() cos().) I'm not really sure how to go about doing this one. Any hintsor help would be greatly appreciated!

Explanation / Answer

Applying the Snells law we have as, n1sini=n2sinr 1*sini=1.49sini/2 cos1/2=0.745 i=83.68 Hence we get by it. "Hope this helps!Best of luck for the rest of yourcoursework."

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