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JEE Main 2021 (18 Mar, Shift 1) · YDSE: Fringe Width & Fringe Positions

YDSE: Fringe Width & Fringe Positions question from JEE Main 2021 (18 Mar, Shift 1)

Q51JEE Main 2021 · 18 MAR · SHIFT 1Easy

YDSE: Fringe Width & Fringe Positions

In Young's double slit arrangement, slits are separated by a gap of 0.5 mm, and the screen is placed at a distance of 0.5 m from them. The distance between the first and the third bright fringe formed when the slits are illuminated by a monochromatic light of 5890 A˚\text{Å} is :-

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Answer: (b)

  1. Distance between 1st and 3rd bright fringes =2β=2λDd= 2\beta = \frac{2\lambda D}{d}
  2. =2×5890×10−10×0.50.5×10−3=1.178×10−3 m= \frac{2 \times 5890\times10^{-10} \times 0.5}{0.5\times10^{-3}} = 1.178\times10^{-3}\text{ m}
  3. So the answer is (b) 1178×10−61178\times10^{-6} m.
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