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  4. An X -ray tube with a copper target emits Cu Kα line of wavelength 1.50 mathringA. What should be the minimum voltage through which electrons are to be accelerated to produce this wavelength of X rays? (h=6.63 × 10-34 J - sec , c=3 × 108 m / s )

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Q. An $X$ -ray tube with a copper target emits Cu $K_{\alpha}$ line of wavelength $1.50\, \mathring{A}$. What should be the minimum voltage through which electrons are to be accelerated to produce this wavelength of $X$ rays? $\left(h=6.63 \times 10^{-34} J - \sec ,\, c=3 \times 10^{8} m / s \right)$

Dual Nature of Radiation and Matter

Solution:

$eV =\frac{h c}{\lambda}$
$=\frac{6.63 \times 10^{-34} \times 3 \times 10^{8}}{1.5 \times 10^{-10}}$
$\Rightarrow V=\frac{6.63 \times 10^{-34} \times 3 \times 10^{8}}{1.5 \times 10^{-10}}$
$=8280$ Volt