JEE Mains · Physics · STD 12 - 9. Ray optics and optical instruments
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)
- A 100
- B 90
- C 80
- D 70
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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