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  • A layer of oil thick is floating on a layer of coloured water <img alt="5 \mathrm{~cm}" s

A layer of oil 3 \mathrm{~cm} thick is floating on a layer of coloured water 5 \mathrm{~cm} thick. Refractive index of coloured water is 5/3 and the apparent depth of the two liquids appears to be 36 / 7 \mathrm{~cm}. Find the refractive index of oil.

Option: 1

1.2


Option: 2

1.3


Option: 3

 1.4


Option: 4

1.5


Answers (1)

best_answer

Apparent depth (\mathrm{AI})=\frac{\mathrm{t}_{1}}{\mu_{1}}+\frac{\mathrm{t}_{2}}{\mu_{2}}

\therefore \frac{36}{7}=\frac{5}{5 / 3}+\frac{3}{\mu_{2}}

\therefore \frac{3}{\mu_{2}}=\frac{36}{7}-3=\frac{15}{7}

\therefore \mu_{2}=\frac{7}{5}=1.4

Posted by

Devendra Khairwa

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