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MHT CET 2021 (21 Sep, Shift 2) · YDSE: Fringe Width & Fringe Positions

YDSE: Fringe Width & Fringe Positions question from MHT CET 2021 (21 Sep, Shift 2)

Q56MHT CET 2021 · 21 SEP · SHIFT 2Medium

YDSE: Fringe Width & Fringe Positions

In Young's experiment, fringes are obtained on a screen placed at a distance 75 cm75\text{ cm} from the slits. When the separation between two narrow slits is doubled, then the fringe width is decreased. In order to obtain the initial fringe width, the screen should be moved through.

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Answer: (c)

  1. β=λDd\beta = \frac{\lambda D}{d}; to keep β\beta fixed when d→2dd \to 2d, need D→2DD \to 2D
  2. D′=2×75=150D' = 2 \times 75 = 150 cm, so the screen moves 150−75=75150 - 75 = 75 cm
  3. So the answer is (c) 7575 cm away from the slits.
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