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MHT CET202519 Apr 2025Morning ShiftPhysicsWave OpticsActual

In a Fraunhoffer diffraction, light of wavelength ' ' is incident on slit of width ' d '. The diffraction pattern is observed on a screen placed at a distance ' D '. The linear width of central maximum is equal to two times the width of the slit, then 'D' has value

Options

  1. Ad ^2
  2. Bd ^2 2
  3. Cd ^2 3
  4. Dd ^2 4

Correct answer

A. d ^2

Step-by-step solution

Linear width of central maximum in Fraunhofer diffraction from a single slit is : W = 2 D d Given that the width of the central maximum equals twice the slit width, W = 2d . Equating both expressions: 2d = 2 D d Divide both sides by 2: d = D d Solving for D : d^2 = D D = d^2 This corresponds to option A.

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