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MHT CET202616 April 2026Morning ShiftPhysicsWave OpticsActual

The ratio of intensities at two points on the screen in Young's double slit experiment when waves from the two slits have a path difference of zero and /4 is ( is the wavelength of light used) ( 0^ = 1 , /2 = 0 )

Options

  1. A1 : 2
  2. B2 : 1
  3. C1 : 4
  4. D4 : 1

Correct answer

B. 2 : 1

Step-by-step solution

The phase difference is related to the path difference x by the relation = 2 x . The intensity at any point on the screen is given by I = I₀ ^2 ( 2 ) , where I₀ is the maximum intensity. For the first point, the path difference is x₁ = 0 . ₁ = 0 I₁ = I₀ ^2(0) = I₀ For the second point, the path difference is x₂ = 4 . ₂ = 2 4 = 2 I₂ = I₀ ^2 ( 4 ) = I₀ ( 1 2 )^2 = I₀ 2 The ratio of intensities is I₁ I₂ = I₀ I₀/2 = 2 1 . Answer: 2 : 1

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