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JEE Mains · Physics · STD 12 - 9. Ray optics and optical instruments

A printed page is pressed by a glass of water. The refractive index of the glass and water is \(1.5\) and \(1.33\), respectively. If the thickness of the bottom of glass is \(1\, cm\) and depth of water is \(5\, cm\) , how much the page will appear to be shifted if viewed from the top ?

  1. A \(1.033\,cm\)
  2. B \(3.581\,cm\)
  3. C \(1.3533\,cm\)
  4. D \(1.90\,cm\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(1.3533\,cm\)

Step-by-step Solution

Detailed explanation

Real depth \(=\,5\,cm\,\,+\,\,1\,cm\,=\,6\,cm\) Apparent depth \(=\frac{\mathrm{d}_{1}}{\mu_{1}}+\frac{\mathrm{d}_{2}}{\mu_{2}}+\dots\) \(=\frac{5}{1.33}+\frac{1}{1.5}\) \( \simeq 3.8+0.7 \simeq 4.5 \mathrm{cm}\)…
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