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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

1.6


Option: 2

1.4


Option: 3

1.9


Option: 4

0.9


Answers (1)

best_answer


\text{Apparent depth }\: (\mathrm{AI})=\frac{\mathrm{t}_{1}}{\mathrm{~m}_{1}}+\frac{\mathrm{t}_{2}}{\mathrm{~m}_{2}}
\quad \frac{36}{7}=\frac{5}{5 / 3}+\frac{3}{\mathrm{~m}_{2}}
\frac{3}{\mathrm{~m}_{2}}=\frac{36}{7}-3=\frac{15}{7}
\mathrm{m}_{2}=\frac{7}{5}=1.4

Posted by

Gautam harsolia

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