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AP EAMCET201822 Apr 2018Morning ShiftPhysicsWave OpticsActual

Two polaroids are placed in the path of unpolarised light beam of intensity I₀ such that no light is emitted from the second polaroid. If a third polaroid whose polarisation axis makes an angle with that of the first polaroid is placed between the polaroids, then intensity of light emerging from the last polaroid is

Options

  1. A( I₀ 8 ) ^2 2
  2. B( I₀ 4 ) ^2 2
  3. C( I₀ 2 ) ^2
  4. DI₀ ^2

Correct answer

A. ( I₀ 8 ) ^2 2

Step-by-step solution

When unpolarised light passes through first polariser, it becomes polarised and its intensity becomes half. After first polariser, intensity I₁=I₀ / 2 After second polariser, intensity I₂= I₀ 2 ^2 (Malus law) After third polariser, intensity I₃= I₀ 2 ^2 ^2 (90^ - ) (because this is at 90^ angle from first polariser) I₃= I₀ 2 ^2 ^2 = I₀ 8 (2 )^2= I₀ 8 ^2 2

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