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

A concave mirror has radius of curvature of \(40\, cm\). It is at the bottom of a glass that has water filled up to \(5\, cm\) (see figure). If a small particle is floating on the surface of water, its image as seen, from directly above the glass, is at a distance \(d\) from the surface of water. The value of \(d\) is close to ......\(cm\) (Refractive index of water \(= 1.33\))

  1. A \(13.4\)
  2. B \(8.8\)
  3. C \(6.7\)
  4. D \(11.7\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(8.8\)

Step-by-step Solution

Detailed explanation

Light incident from particle \(P\) will be reflected at mirror. \({\text{u}} = - 5\,{\text{cm}},\) \({\text{f}} = {\text{m}} - \frac{{\text{R}}}{2}\) \( = - 20\,{\text{cm}}\) \(\frac{1}{v} + \frac{1}{u} = \frac{1}{f}\) ; \(\boxed{{v_1} = + \frac{{20}}{3}\,\,cm}\) This image will…
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