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JEE Main 2013 (22 Apr, Shift 1) · YDSE: Fringe Width & Fringe Positions

YDSE: Fringe Width & Fringe Positions question from JEE Main 2013 (22 Apr, Shift 1)

Q72JEE Main 2013 · 22 APR · SHIFT 1Medium

YDSE: Fringe Width & Fringe Positions

This question has Statement-1 and Statement-2. Of the four choices given after the Statements, choose the one that best describes the two Statements.

Statement-1: In Young's double slit experiment, the number of fringes observed in the field of view is small with longer wavelength of light and is large with shorter wavelength of light. Statement-2: In the double slit experiment the fringe width depends directly on the wavelength of light.

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Answer: (a)

  1. Fringe width β=λDd\beta = \frac{\lambda D}{d}, so β∝λ\beta \propto \lambda: Statement-2 is true.
  2. Number of fringes in a fixed field of view =widthβ= \frac{\text{width}}{\beta}, so longer λ\lambda gives fewer fringes: Statement-1 is true.
  3. Statement-1 follows directly from Statement-2.
  4. So the answer is (a).
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