Answer: The spacing between the crystal planes is [tex]4.07\times 10^{-10}m[/tex]
Explanation:
To calculate the spacing between the crystal planes, we use the equation given by Bragg, which is:
[tex]n\lambda =2d\sin \theta[/tex]
where,
n = order of diffraction = 2
[tex]\lambda[/tex] = wavelength of the light = [tex]154pm=1.54\times 10^{-10}m[/tex] (Conversion factor: [tex]1m=10^{12}pm[/tex] )
d = spacing between the crystal planes = ?
[tex]\theta[/tex] = angle of diffraction = 22.20°
Putting values in above equation, we get:
[tex]2\times 1.54\times 10^{-10}=2d\sin (22.20)\\\\d=\frac{2\times 1.54\times 10^{-10}}{2\times \sin (22.20)}\\\\d=4.07\times 10^{-10}m[/tex]
Hence, the spacing between the crystal planes is [tex]4.07\times 10^{-10}m[/tex]
