Optics Question 945

Question: A vertical microscope is focused on a point at the bottom of an empty tank. Water (μ=43) is then poured into the tank. The height of the water column is 4 cm. Another lighter liquid, which does not mix with water and which has refractive index 32 is then poured over the water. The height of liquid column is 2 cm. What is the vertical distance through which the microscope must be moved to bring the object in focus again?

Options:

A) 2.61 m

B) 1.55 m

C) 3.12 m

D) 1.67 m

Show Answer

Answer:

Correct Answer: D

Solution:

[d] The apparent shift of the bottom point upwards will be

x=x1+x2

=t1(11μ1)+t2(11μ2)

=4(114/3)+2(113/2)

=4(134)+2(123)=1.67cm



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