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BITSAT2016PhysicsRay OpticsActual

A biconvex lens has a radius of curvature of magnitude 20 ~cm . Which one of the following options best describe the image formed of an object of height 2 ~cm placed 30 ~cm from the lens?

Options

  1. AVirtual, upright, height =1 ~cm
  2. BVirtual, upright, height =0.5 ~cm
  3. CReal, inverted, height =4 ~cm
  4. DReal, inverted, height =1 ~cm

Correct answer

C. Real, inverted, height =4 ~cm

Step-by-step solution

In the branch containing (L ) and (R₂ ) ( aligned & i = E R ₂ (1- e ^ - R ₂ t L ) & di dt = E R ₂ e ^ - R ₂ t L R ₂ ~L = E L e ^ - R ₂ t L & V _ L = L di dt = Ee ^ - R ₂ t L &=12 e ^ - 2 t 400 10⁻³ =12 e ^ -5 t V aligned )

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