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Question: Following observation are taken from a travelling microscope to determine the refractive index of a ...

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 ?

A

1.232

B

1.389

C

1.437

D

1.208

Answer

1.437

Explanation

Solution

Real depth = x3 – x1 = 13.895 – 12.324 = 1.571 cm

Apparent depth = x3 – x2 = 13.895 – 12.802

= 1.093 cm

Refractive index = 1.5711.093\frac { 1.571 } { 1.093 } = 1.437