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Standard XIII

Chemistry

Bragg's Equation

The second or...

Question

The second order Bragg diffraction of x-rays with $λ = 1.00 \circ A$ from a set of parallel planes in metal occurs at an angle $60^{\circ}$ . The distance between the scattering planes in the crystal is

$2.00 \circ A$

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$1.00 \circ A$

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$0.575 \circ A$

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$1.15 \circ A$

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Solution

The correct option is D
$1.15 \circ A$

Bragg's Equation:
$n λ = 2 d s i n θ$
Now, $n = 2, λ = 1.00 \circ A, θ = 60^{\circ}, d = ? \Rightarrow d = \frac{1}{s i n 60^{\circ}} = \frac{2}{\sqrt{3}} = 1.15 \circ A$

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The correct option is D
$1.15 \circ A$

Bragg's Equation:
$n λ = 2 d s i n θ$
Now, $n = 2, λ = 1.00 \circ A, θ = 60^{\circ}, d = ? \Rightarrow d = \frac{1}{s i n 60^{\circ}} = \frac{2}{\sqrt{3}} = 1.15 \circ A$