Answer: The wavelength of X-ray is [tex]7.27\times 10^{-11}m[/tex]
Explanation:
To calculate the wavelength of the radiation, we use the equation given by Bragg, which is:
[tex]n\lambda =2d\sin \theta[/tex]
where,
n = order of diffraction = 1
[tex]\lambda[/tex] = wavelength of the X-ray = ?
d = spacing between the crystal planes = [tex]287pm=2.87\times 10^{-10}[/tex] (Conversion factor: [tex]1m=10^{12}pm[/tex] )
[tex]\theta[/tex] = angle of diffraction = 7.28°
Putting values in above equation, we get:
[tex]1\times \lambda=2\times 2.87\times 10^{-10}\times \sin (7.28)\\\\\lambda=\frac{2\times 2.87\times 10^{-10}\sin (7.28)}{1}\\\\\lambda=7.27\times 10^{-11}m[/tex]
Hence, the wavelength of X-ray is [tex]7.27\times 10^{-11}m[/tex]
