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  4. The shortest wavelength of X-rays coming from an X-ray tube depends on the

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Q. The shortest wavelength of $X$-rays coming from an $X$-ray tube depends on the

J & K CETJ & K CET 2009Dual Nature of Radiation and Matter

Solution:

When the electron loses whole of its energy in a single collision with the atoms, an $X$-ray photon of maximum energy
$h_{\max }$ is emitted ie, $\frac{1}{2} m v^{2}=e V$
$=h v_{\max }=\frac{h c}{\lambda_{\min }}$
Minimum wavelength = cut-off wavelength of $X$-ray
$\lambda_{\min }=\frac{h c}{e V}=\frac{12375}{V_{(\text {in out })}} \,\mathring{A}$