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NEET2009PhysicsWave OpticsActual

In Young's double slit experiment, the two slits act as coherent sources of equal amplitude a and of wavelength . In another experiment with the same set up, the two slits are sources of equal amplitude a and wavelength , but are incoherent. The ratio of intensities of light at the mid point of the screen in the first case to that in the second case is

Options

  1. A2: 1
  2. B1: 2
  3. C3: 4
  4. D4: 3

Correct answer

A. 2: 1

Step-by-step solution

When sources are coherent, intensity at mid point is I_ =(a+a)^2=4 a^2 When sources are incoherent, no interference occurs. Intensity at mid point is aligned & I=I₁+I₂=a^2+a^2=2 a^2 & I_ max I = 4 a^2 2 a^2 =2: 1 aligned

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