Moderate

According to Bragg's law

Correct answer: B. 2d \(\sin \theta = m\lambda\)

  • A. d \(\sin \theta = m\lambda\)
  • B. 2d \(\sin \theta = m\lambda\)
  • C. d \(\sin \theta = 2m\lambda\)
  • D. d \(\sin \theta = m + 1\)

Explanation

Bragg's law is given by the formula 2d \(\sin \theta = m\lambda\), where \(d\) is the distance between crystal planes, \(\theta\) is the angle of incidence, \(\lambda\) is the wavelength of the incident wave, and \(m\) is an integer representing the order of the reflected wave. This equation describes the condition for constructive interference of X-rays scattered by crystal lattice planes. Option A is incorrect because it lacks the '2' factor, which is crucial for the path difference. Option C misplaces the '2' factor, incorrectly applying it to the wavelength. Option D introduces a nonsensical term 'm + 1', which does not apply to Bragg's law.

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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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