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JEE Main202118 Mar 2021Morning ShiftPhysicsWave OpticsActual

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 o is :-

Options

  1. A1178   ×   10 – 9   m
  2. B1178   ×   10 – 6   m
  3. C1178   ×   10 – 12   m
  4. D5890   ×   10 – 7   m

Correct answer

B. 1178   ×   10 – 6   m

Step-by-step solution

β = λ D d = 5890 × 10 - 10 × 0 . 5 0 . 5 × 10 - 3 = 589 × 10 - 6   m Distance between first and third bright fringe is 2 β = 2 × 589 × 10 - 6   m = 1178 × 10 - 6   m

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