logo

Ask Questions, Get Answers

 
X
 Search
Want to ask us a question? Click here
Browse Questions
Ad
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
x
JEE MAIN, CBSE, NEET Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App
...