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BITSAT 2011
Exam
BITSAT
Year
2011
Subject
Physics
Chapter
Ray Optics

BITSAT 2011 · Physics · Ray Optics

A vessel of depth 2 d cm . is halffilled with a liquid of...

A vessel of depth 2dcm2 \mathrm{ d} \mathrm{ cm}. is halffilled with a liquid of refractive index μ1\mu_{1} and the upper half with a liquid of refractive index μ2.\mu_{2}. The apparent depth of the vessel seen perpendicularly is -

Options

  1. Ad(μ1μ2μ1+μ2)d \left(\frac{\mu_{1} \mu_{2}}{\mu_{1}+\mu_{2}}\right)
  2. Bd(1μ1+1μ2)d \left(\frac{1}{\mu_{1}}+\frac{1}{\mu_{2}}\right)
  3. C2d(1μ1+1μ2)2 d \left(\frac{1}{\mu_{1}}+\frac{1}{\mu_{2}}\right)
  4. D2d(1μ1μ2)2 d \left(\frac{1}{\mu_{1} \mu_{2}}\right)

Correct answer

B. d(1μ1+1μ2)d \left(\frac{1}{\mu_{1}}+\frac{1}{\mu_{2}}\right)

Step-by-step solution

\mathrmh^{\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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