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AP EAMCET20224 Jul 2022Evening ShiftPhysicsWave OpticsActual

When monochromatic light of wavelength 600 nm is used in Young's double slit experiment, the fifth order bright fringe is formed at 6 mm from the central bright fringe on the screen. If the experiment is conducted with light of wavelength 400 nm from the central bright fringe, the third order bright fringe will be located at

Options

  1. A1 . 6   mm
  2. B2   mm
  3. C2 . 4   mm
  4. D3   mm

Correct answer

C. 2 . 4   mm

Step-by-step solution

In Young's double slit experiment, fringe width is given by β = λ D d . Therefore, fringe width is proportional to the wavelength of the light used. Now fringe width in the first case is β 1 = 6 5 = 1 . 2   mm . Therefore, β 2 β 1 = λ 2 λ 1 ⇒ β 2 = 400 600 × 1 . 2 = 0 . 8   mm Therefore, the location of the third bright fringe will be 3 × 0 . 8 = 2 . 4   mm .

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