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Question: Answered & Verified by Expert
A vessel of depth $2 \mathrm{~d} \mathrm{~cm}$. is halffilled with a liquid of refractive index $\mu_{1}$ and the upper half with a liquid of refractive index $\mu_{2} .$ The apparent depth of the vessel seen perpendicularly is -
PhysicsRay OpticsBITSATBITSAT 2011
Options:
  • A $d\left(\frac{\mu_{1} \mu_{2}}{\mu_{1}+\mu_{2}}\right)$
  • B $d\left(\frac{1}{\mu_{1}}+\frac{1}{\mu_{2}}\right)$
  • C $2 d\left(\frac{1}{\mu_{1}}+\frac{1}{\mu_{2}}\right)$
  • D $2 d\left(\frac{1}{\mu_{1} \mu_{2}}\right)$
Solution:
2850 Upvotes Verified Answer
The correct answer is: $d\left(\frac{1}{\mu_{1}}+\frac{1}{\mu_{2}}\right)$
$\mathrm{h}^{\prime}=\frac{\mathrm{d}_{1}}{\mu_{1}}+\frac{\mathrm{d}_{2}}{\mu_{2}}=\mathrm{d}\left(\frac{1}{\mu_{1}}+\frac{1}{\mu_{2}}\right)$

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