An x-ray beam of wavelength 3 *10^-¹¹ m is incident on a calcite crystal of lattice spacing 0.3 nm. The smallest angle between crystal planes and the x-ray beam which will result in constructive interference is: A) 2.87° B) 5.73° C) 11.63° D) 23.27° E) none of these

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Quizplus · Accepted Answer

Bragg's law: 2d sin θ = nλFor constructive interference, n = 1d = 0.3 nm, λ = 3 × 10^-11 msin θ = nλ/2d = 1 × 3 × 10^-11 m / 2 × 0.3 × 10^-9 m = 0.05θ = sin^-1(0.05) = 2.87°

An X-Ray Beam of Wavelength 3 *10-11 M Is Incident

An X-Ray Beam of Wavelength 3 *10^-¹¹ M Is Incident