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A NaCl crystal is irradiated with a beam of X-ray of wavelength 0.3 nm and the first Bragg reflection is observed at an angle of 30°. Then the atomic spacing of NaCl is

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A NaCl crystal is irradiated with a beam of X-ray of wavelength 0.3 nm and the first Bragg reflection is observed at an angle of 30°. Then the atomic spacing of NaCl is
  1. 0.5 nm
  2. 0.4 nm
  3. 1.2 nm
  4. 0.3 nm

Answer and explanation

Correct answer: D - 0.3 nm
Bragg: nλ=2dsin⁡θn\lambda = 2d\sin\theta; 1×0.3=2d×0.51 \times 0.3 = 2d \times 0.5, so d=0.3 nmd = 0.3\ \mathrm{nm}.

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