Calculate the refractive index of the material for the glass prism in the diagram above
Attached Figure / Diagram
A
√2/2
B
4/3
C
√2
D
3/2
Verified Correct Answer: C.
Physical Principles & Numerical Solution
n = \(\frac{\frac{A+D}{2}}{sin\frac{A}{2}}\)
where A = the refracting angle of the prism(60º)
D = angle of deviation of the ray (30^\circ)
n = \(\frac{\frac{60+30}{2}}{sin\frac{60}{2}}\)
= \(\frac{sin45}{sin30}\)
v = \(\frac{\frac{1}{\sqrt{2}}}{\frac{1}{2}}\)
\(\frac{\frac{\sqrt{2}}{2}}{\frac{1}{2}}\)
= \(\frac{\sqrt{2}}{2}\) x \(\frac{2}{1}\) = \(\sqrt{2}\)
n = \(\sqrt{2}\)
Source: Myschool Past Questions Archive (Record #12004)