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MHT CET202410 May 2024Morning ShiftPhysicsWave OpticsActual

In young's double slit experiment, the n ^ th maximum of wavelength ₁ is at a distance of y₁ from the central maximum. When the wavelength of the source is changed to ₂, ( n 3 )^ th maximum is at a distance of y₂ from its central maximum. The ratio y₁ y₂ is

Options

  1. A3 ₁ ₂
  2. B3 ₂ ₁
  3. C₁ 3 ₂
  4. D₂ 3 ₁

Correct answer

A. 3 ₁ ₂

Step-by-step solution

y _ n = n D ~d For n ^ th maximum y ₁= n ₁ D ~d ...(i) For ( n 3 )^ rd maximum y₂= n 3 ₂ D ~d ...(ii) y₁ y₂ = n ₁ D d n 3 ₂ D d [ From ( i ) and (ii) ] y ₁ y ₂ = 3 ₁ ₂

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