A glass plate having an index of refraction is 1.66 is immersed in a certain alcohol.The surface of the glass is inclined at an angle of 44° with the vertical.When a horizontal ray in the glass strikes the interface,you observe that it is at the critical angle.What is the index of refraction of the alcohol?
A)1.15
B)1.13
C)1.11
D)1.09
E)1.17

Question

Quizplus · Accepted Answer

The critical angle is given by:sin(critical angle) = n2/n1where n1 is the index of refraction of the first medium (glass) and n2 is the index of refraction of the second medium (alcohol).We are given that the critical angle is 44° and the index of refraction of glass is 1.66. So, we can solve for n2:sin(44°) = n2/1.66n2 = 1.15Therefore, the index of refraction of the alcohol is 1.15.

A Glass Plate Having an Index of Refraction Is 1