A circular scale used to study reflection and refraction is shown in Figure (a).
ID: 1346858 • Letter: A
Question
A circular scale used 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?
Figure (a) aser Figure (b) A R 0 laser A'Explanation / Answer
figure A
angle of incidence = i = 32
angle of refraction r = N'-C = 212-190 = 22
from snells law
n1*sini = n2*sinr
1*sin32 = n2*sin22
refractive index of the semicircular transperent material n2 = 1.41
figure B
for total internal reflection
r = 90
i = c
n1 = 1.414
n2 = 1
n1*sini = n2*sinr
1.414*sinc = 1*sin90
c = 45
the angle of incedence = C = 45
the angle of reflection is same as c
the R is at 90 degrees
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