Moderate

The path differnce 'd' for constructive interference should be:

Correct answer: D. d = m λ

  • A. d = λ /2
  • B. d = 3 λ /2
  • C. d = 5 λ /2
  • D. d = m λ

Explanation

For constructive interference to occur, the path difference between the two interfering waves must be an integer multiple of the wavelength. This condition ensures that the two waves reinforce each other, leading to a stronger resultant wave. Options A, B, and C do not meet this criterion and thus do not result in constructive interference. Option D correctly states the relationship between the path difference 'd' and the wavelength 'λ', making it the correct choice.

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Light is studied through reflection, refraction, dispersion, interference, diffraction and polarization, linking ray behavior with its wave nature. Questions may involve mirrors, lenses, optical instruments, refractive index and image formation, while geometrical optics deals with rays and wave optics explains effects such as interference and diffraction.

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