Modern Physics 4 Question 32

33. To produce characteristic $X$-rays using a tungsten target in an $X$-ray generator, the accelerating voltage should be greater than …… V and the energy of the characteristic radiation is …… eV. (The binding energy of the innermost electron in tungsten is $40 keV$ ).

(1983, 2M)

Analytical & Descriptive Questions

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Solution:

  1. Minimum voltage required is corresponding to $n=1$ to $n=2$.

Binding energy of the innermost electron is given as $40 keV$ i.e. ionisation potential is $40 kV$. Therefore,

$$ V _{\min }=\frac{40 \times 10^{3} \frac{1}{1^{2}}-\frac{1}{2^{2}}}{\frac{1}{1^{2}}-\frac{1}{\infty}}=30 \times 10^{3} V $$

The energy of the characteristic radiation will be $30 \times 10^{3} eV$.



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