77 cm. If the refractive index of the liquid is 1.33 at the top and increases uniformly to the bottom, then what is the refractive index at the bottom of the liquid?
A) 1.96
B) 2.95
C) 1.48
D) 1.62
E) None of these is correct.

Question

Quizplus · Accepted Answer

We know that the formula for the apparent depth of a liquid is:
Apparent depth = Actual depth/ Refractive index
Let the refractive index at the bottom of the liquid be x. 
Then, using the given information, we can set up the following equation:
77/1.33 = 77/x 
Solving for x gives us:
x = 77 × 1.33/77 = 1.62
Therefore, the refractive index at the bottom of the liquid is 1.62, which is answer choice D.

77 Cm If the Refractive Index of the Liquid Is 1