Question

An X-ray tube with Cu target is operated at 25 kV. The glancing angle for a NaCl. Crystal for the Cu $k_{\alpha}$ line is 15.8°. Find the wavelength of this line. (d for NaCl = 2.82 Å, h = 6.62 × 10⁻²⁷ erg-sec)(a) 3.06 Å(b) 1.53 Å(c) 0.75 Å(d) None of these

Answer 1

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♦ Option [B] is Correct

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Answer 2

Answer:

b) 1.53 Å

Explanation:

Energy of the xray tube = 25kV ( Given)

Angle formed with = NaCl crystal ( Given)

Cukα line = 15.8° ( Given)

The Bragg's law or condition is a special case of Laue diffraction, that gives the angles for coherent and incoherent scattering from a crystal lattice.

Thus, according to the Bragg's law -

2d Sin  θ = nλ,

where n = 1 for the first order -

= 2 × 2.82 sin 15.8 = λ

λ =  5.64 × 0.2723

λ = 1.53 A0

Therefore, the wavelength of the said line is 1.53 Å.