A) \[1 : 10\]
B) \[10: 1\]
C) \[1 : 100\]
D) \[100 : 1\]
Correct Answer: B
Solution :
\[\operatorname{de}-Broglie\,\,wavelength\,\,\lambda \,\,=\,\,\,\frac{h}{\sqrt{2eVm}}\] \[\operatorname{X}-ray wavelength \lambda ' =\,\frac{hc}{eV}\,\,\] \[\frac{\lambda '}{\lambda }=\frac{hc}{eV}\times \frac{\sqrt{2eVm}}{h}\,\,=\,\,c\sqrt{\frac{2m}{eV}}\] \[=3\times 1{{0}^{8}}\,\times \,\,\sqrt{\frac{2\times 9\times {{10}^{-\,31}}}{1.6\times {{10}^{-\,19}}\times (10\times {{10}^{3}})}}=10\] \[\Rightarrow \,\,\,\,\,\,\,\frac{\lambda '}{\lambda }=10\]
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