JEE Mains · Physics · STD 12 - Ray optics and optical instruments
- JEE Mains 2020
- Medium
- MCQ
A vessel of depth \(2 \mathrm{h}\) is half filled with a liquid of refractive index \(2 \sqrt{2}\) and the upper half with another liquid of refractive index \(\sqrt{2} .\) The liquids are immiscible. The apparent depth of the inner surface of the bottom of vessel will be
Pick an option to check your answer.
Answer & Solution
Correct Answer
(B) \(\frac{3}{4} \mathrm{h} \sqrt{2}\)
Step-by-step Solution
Detailed explanation
For near normal incidence,
\(\mathrm{h}_{\mathrm{app}}=\frac{\mathrm{h}_{\mathrm{actal}}}{\left(\frac{\mu_{\mathrm{in}}}{\mu_{\mathrm{rat}}}\right)}\)
\(\mathrm{h}_{\text {apparent }}=\frac{\frac{\mathrm{h}}{\left(\frac{2 \sqrt{2}}{\sqrt{2}}\right)}+\mathrm{h}}{\frac{\sqrt{2}}{1}}=\frac{3 \mathrm{h}}{2 \sqrt{2}}=\frac{3}{4} \mathrm{h} \sqrt{2}\)
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