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A coin is at the bottom of a trough cont...

A coin is at the bottom of a trough containing three immiscible liquids of refractive indies 1.3. 1.4 and 1.5. poured one above the other of height 30 cm, 16 cm, and 20 cm respectively. What is the apparent depth at which the coin appers to be when seen from air medium outside? In which medium the coin will be seen?

Text Solution

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When seen from top, the coin will still appear to be at the bottom with each medium appearing to have with respect to the air medium outside. This situation is illustrated below.

The equation for apparent depth for each medium is, `d_(1)=(d_(1))/(n_(1)),d_(2)=(d_(2))/(n_(2)),d_(3)=(d_(3))/(n_(3))`
`d.=d_(1)+d_(2)+d_(3)=(d_(1))/(n_(1))+(d_(2))/(n_(2))+(d_(3))/(n_(3))`
`d.=(30)/(1.3)+(16)/(1.4)+(30)/(1.5)=23.1+11.4+13.3`
d. = 47.8 cm
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