JEE Mains · Physics · STD 12 - 9. Ray optics and optical instruments
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
- A \(\frac{\mathrm{h}}{\sqrt{2}}\)
- B \(\frac{3}{4} \mathrm{h} \sqrt{2}\)
- C \(\frac{\mathrm{h}}{2(\sqrt{2}+1)}\)
- D \(\frac{\mathrm{h}}{3 \sqrt{2}}\)
Answer & Solution
Correct Answer
(B) \(\frac{3}{4} \mathrm{h} \sqrt{2}\)
Step-by-step Solution
Detailed explanation
For near normal incidence, \(\mathrm{h}_{\mathrm{app}}=\frac{\mathrm{h}_{\mathrm{actal}}}{\left(\frac{\mu_{\mathrm{in}}}{\mu_{\mathrm{rat}}}\right)}\)…
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