JEE Mains · Physics · STD 12 - Ray optics and optical instruments
- JEE Mains 2025
- Medium
- Numerical
A container contains a liquid with refractive index of 1.2 up to a height of 60 cm and another liquid having refractive index 1.6 is added to height H above first liquid. If viewed from above, the apparent shift in the position of bottom of container is 40 cm. The value of H is ______ cm.
(Consider liquids are immisible)
Pick an option to check your answer.
Answer & Solution
Correct Answer
(C) 80
Step-by-step Solution
Detailed explanation
\(y=\) apparent depth of bottom
\(\frac{\mathrm{y}}{1}=\frac{\mathrm{H}}{1.6}+\frac{60}{1.2}\)
Shift \(=40\)
\(H+60-y=40\)
\(\mathrm{H}+60-\frac{\mathrm{H}}{1.6}-\frac{60}{1.2}=40\)
\(\frac{6}{16} \mathrm{H}=30\)
\(\mathrm{H}=80 \mathrm{~cm}\)
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