Following observation are taken from a travelling microscope to determine the refractive index of a liquid. Reading for the bottom of an empty beaker = 12.324 cm. Reading for the bottom of the beaker when partially filled with the liquid = 12.802 cm. Reading for the liquid surface = 13.895 cm. What is the refractive index of the liquid?
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Question

Following observation are taken from a travelling microscope to determine the refractive index of a liquid. Reading for the bottom of an empty beaker = 12.324 cm. Reading for the bottom of the beaker when partially filled with the liquid = 12.802 cm. Reading for the liquid surface = 13.895 cm. What is the refractive index of the liquid?

Options

G1 Physics · Accepted Answer

Real depth = surface reading − empty-bottom reading = 13.895−12.324 = 1.571 cm. Apparent depth = 13.895−12.802 = 1.093 cm. Refractive index μ = real/apparent ≈1.571/1.093 ≈1.437. Correct answer: C.