SATHEE: Modern Physics 4 Question 32

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 $40 k e V$ ).

(1983, 2M)

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Solution:

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

Binding energy of the innermost electron is given as $40 k e V$ i.e. ionisation potential is $40 k V$ . 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 $30 \times 10^{3} e V$ .

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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 40keV ).

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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 $40 k e V$ ).