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

Two transparent media having refractive indices \(1.0\) and \(1.5\) are separated by a spherical refracting surface of radius of curvature \(30\,cm\). The centre of curvature of surface is towards denser medium and a point object is placed on the principle axis in rarer medium at a distance of \(15\,cm\) from the pole of the surface. The distance of image from the pole of the surface is .......\(cm\)

  1. A \(30\)
  2. B \(15\)
  3. C \(7.5\)
  4. D \(66\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(30\)

Step-by-step Solution

Detailed explanation

\(\frac{\mu_2}{ v }-\frac{\mu_1}{ u }=\frac{\mu_2-\mu_1}{ R }\) \(\frac{1.5}{ v }-\frac{1}{-15}=\frac{1.5-1}{30}=\frac{1}{60}\) \(\frac{1.5}{ v }+\frac{1}{15}=\frac{1}{60}\) \(\frac{1.5}{ v }=\frac{1}{60}-\frac{1}{15}=\frac{-1}{20}\)…
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