An "X" is marked on the bottom of a glass container.A microscope is adjusted so that it is focused on the "X." A liquid is now poured into the glass to a depth of 6.00 cm.If the microscope has to be backed up by a distance of 1.50 cm to refocus on the "X," then calculate the refractive index of the liquid.
A)1.25
B)4.00
C)1.33
D)0.75
E)3.00

Question

Quizplus · Accepted Answer

The refractive index of the liquid can be calculated using the formula:

n = d / (d - h)

where, 
n = refractive index of the liquid
d = depth of the liquid = 6.00 cm
h = distance the microscope was backed up = 1.50 cm

Substituting the values, we get:

n = 6.00 / (6.00 - 1.50) = 1.33

Therefore, the refractive index of the liquid is 1.33. The correct answer is choice C.

An "X" Is Marked on the Bottom of a Glass