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In Fig., determine the apparent shift in...

In Fig., determine the apparent shift in the position of the coin. Also, find the effective refractive index of the combinatino of the glass and water slab.

Text Solution

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Total apparent shift is
`s=t_(1)(1-(1)/(mu_(1)))+t_(2)(1-(1)/(u_(2)))`
`=8(1-(1)/(4))+4.5(1-((1)/(3))/2)`
`=2+1.5=3.5cm`
The apparent depth of coin from the top is `t=(8+4.5)-3.5=9cm` and, the real depth of the coin is
`t_(1)+t_(2)=8+4.5=12.5`
Therefore, the effective refractive index is
`mu_(eff)=(" Real depth ")/(" Apparent depth ")`
`=(t_(1)+t_(2))/(t)=(12.5)/9`
`=1.39`
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