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Please answer the following A circular scale like the one you will use to study

ID: 1345519 • Letter: P

Question

Please answer the following

A circular scale like the one you will use to study reflection and refraction is shown in Figure (a). The laser beam passes over the zero mark on the circular scale. A semicircular transparent plate has its straight edge aligned as shown. Point N is at 32.0 degrees, and point C is at 190.0 degrees. The semicircular transparent plate is then reoriented, as in Figure (b), to study the total internal reflection. If the refracted beam just disappears when the flat surface of the semicircle is aligned with AA', what is the position of point R?

Explanation / Answer

angle i =320

Angle r=220

n2 = Sin(32)/Sin(22)
   =1.414

Sin(theta critical) = 1/1.414

Theta critical = 44.9840

position of R= 2*44.9840=89.9680