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BITSAT 2020
Exam
BITSAT
Year
2020
Subject
Physics
Chapter
Ray Optics

BITSAT 2020 · Physics · Ray Optics

A vessel of depth 2 d cm is half filled with a liquid of refractive...

A vessel of depth 2dcm2 \mathrm{ d} \mathrm{ cm} is half filled 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. A(μ1μ2μ1+μ2)d\left(\frac{\mu_{1} \mu_{2}}{\mu_{1}+\mu_{2}}\right) \mathrm{d}
  2. B(1μ1+1μ2)d\left(\frac{1}{\mu_{1}}+\frac{1}{\mu_{2}}\right) \mathrm{d}
  3. C(1μ1+1μ2)2 d\left(\frac{1}{\mu_{1}}+\frac{1}{\mu_{2}}\right) 2 \mathrm{~d}
  4. D(1μ1μ2)2 d\left(\frac{1}{\mu_{1} \mu_{2}}\right) 2 \mathrm{~d}

Correct answer

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

Step-by-step solution

Apparent depth =d/μ1+d/μ2=\mathrm{d} / \mu_{1}+\mathrm{d} / \mu_{2}
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