A neutron spectroscopy a beam of mono energetic neutrons is obtained by reflecting reactor neutrons from a beryllium crystal

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Prince Budha · Accepted Answer

Solution : Here is given, Separation between the atomic plane (d) = 0.732 A° = 0.732 (times ) 10-10 m Wavelength of monochromatic beam of neutrons (λ) = 0.1 A° = 0.1 (times ) 10-10 m Angle between the incident neutron beam and the atomic planes (θ) = ? From Bragg's Law, 2d sinθ = nλ or sinθ = (frac{nlambda}{2d})                    [Since, n = 1, for first order] or, θ = sin-1(left ( frac{lambda}{2d} right ) ) or, θ = sin-1(left ( frac{0.1 times 10^{-10}}{2times 0.732 times 10^{-10}} right ) ) ∴ θ =3.92° Hence, required angle between the incident neitron beam and the atomic plane is 3.92°.

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