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In a Young's double slit experiment, a student observes 8 fringes in a certain segment of screen when a monochromatic light of 600   nm wavelength is used. If the wavelength of light is changed to 400   nm , then the number of fringes he would observe in the same region of the screen is:

Options

  1. A8
  2. B9
  3. C12
  4. D6

Correct answer

C. 12

Step-by-step solution

Wavelength of light used is inversely proportional to number of fringes observed. Hence, we can write: n 1 λ 1 = n 2 λ 2 ⇒ n 2 = n 1 λ 1 λ 2 = 8 × 600 × 10 - 9 400 × 10 - 9 = 12

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