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

A spherical interface lens of radius \(R\) separates two media of refractive indices \(1\) and \(1.4\) respectively as shown in the figure below. A point source is placed at a distance of \(4R\) in front of spherical interface. The magnitude of the magnification of point source image is _______.

  1. A \(1.66\)
  2. B \(2.33\)
  3. C \(2.66\)
  4. D \(1.33\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(1.66\)

Step-by-step Solution

Detailed explanation

Given: Refractive index of the first medium, \(n_1 = 1\) Refractive index of the second medium, \(n_2 = 1.4 = \dfrac{7}{5}\) Object distance, \(u = -4R\) Radius of curvature of the spherical interface, \(R = +R\) (since the surface is convex towards the rarer medium) Using the…
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