A vessel contains water upto a height of 20 cm and above it an oil upto another 20 cm. The refractive indices of the water and the oil are 1.33 and 1.30 respectively. Find the apparent depth of the vessel when viewed from above.

A vessel contains water upto a height of 20 cm and above it an oil upt

1.	A vessel contains water upto a height of 20 cm and above it an oil upto another 20 cm. The refractive indices of the water and the oil are 1.33 and 1.30 respectively. Find the apparent depth of the vessel when viewed from above.
Answer» REFRACTIVE indices of the water and the oil are 1.33 and 1.30 HEIGHT of water =20 cmheight of oil= 20 cmShift DUE to water Δtw=1 - (1/μ)d=[ 1- (1/1.33)]x20=1/4 x 20=5cmshift due to oil :1 - (1/μ)d=[ 1- (1/1.30)]x20=4.6cmtotal shift = 5+4.6=9.6cmapparent DEPTH = 40- 9.6= 30.4cm between the surface

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A vessel contains water upto a height of 20 cm and above it an oil upto another 20 cm. The refractive indices of the water and the oil are 1.33 and 1.30 respectively. Find the apparent depth of the vessel when viewed from above.

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