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JEE Main20262 April 2026Morning ShiftPhysicsRay OpticsActual

Refer the figure given below. ₁ and ₂ are refractive indices of air and lens material. The height of image will be _______ cm.

Options

  1. A1
  2. B0.5
  3. C1.2
  4. D0.25

Correct answer

A. 1

Step-by-step solution

Taking the pole P as the origin and the direction of incident light as positive: ₁ = 1 (air), ₂ = 1.5 (lens) u = -40 cm R = -20 cm (centre of curvature lies to the left of P ) h_o = +2 cm Using the formula for refraction at a single spherical surface: ₂ v - ₁ u = ₂ - ₁ R 1.5 v - 1 -40 = 1.5 - 1 -20 1.5 v + 1 40 = - 1 40 1.5 v = - 2 40 = - 1 20 v = -30 cm The negative sign indicates a virtual image formed 30 cm to the left of P . The transverse magnification for refraction at a spherical surface is: m = ₁ v ₂ u = 1

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