Ask Questions, Get Answers

Want to ask us a question? Click here
Browse Questions
0 votes

The first order reflection of a beam of X-rays of wavelength $1.54A^{\large\circ}$ from the (1 0 0) plane of a crystal of the simple cubic type occurs at an angle of $11.29^{\large\circ}$.Calculate the length of the unit cell.

$\begin{array}{1 1}3.933\times 10^{-8}\\2.933\times 10^{-8}\\1.933\times 10^{-8}\\0.933\times 10^{-8}\end{array} $

Can you answer this question?

1 Answer

0 votes
We have $n\lambda =2d\sin \theta$
$1\times (1.54 \times 10^{-8})=2\times d \times \sin 11.29$
$\Rightarrow d=3.933\times 10^{-8}cm$
Further $d=\large\frac{a}{\sqrt{h^2+k^2+l^2}}$
$3.933\times 10^{-8}=\large\frac{a}{1^2+0^2+0^2}$
$\therefore a=3.933\times 10^{-8}$ cm
answered Aug 1, 2014 by sreemathi.v

Related questions

Ask Question
student study plans
JEE MAIN, CBSE, NEET Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App