Dual Nature Of Light Question 381

Question: Electrons with energy 80 keV are incident on the tungsten target of an X-ray tube. K-shell electrons of tungsten have 72.5 keV energy. X- rays emitted by the tube contain only

Options:

A) a continuous X-ray spectrum (Bremsstrahlung) with a minimum wavelength of $ 0\text{.155}\overset{o}{\mathop{A}}, $

B) a continuous X-ray spectrum (Bremsstrahlung) with all wavelengths

C) the characteristic X-ray spectrum of tungsten

D) a continuous X-ray spectrum (Bremsstrahlung) with a minimum wavelength of $ 0\text{.155}\overset{o}{\mathop{A}}, $ and the characteristic X-ray spectrum of tungsten..

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Answer:

Correct Answer: D

Solution:

[d] $ {\lambda_{\min }}=\frac{hc}{E}\text{ }\therefore {\lambda_{\min }}=\frac{12400}{80\times 10^{3}}\overset{o}{\mathop{A}},=0.155\overset{o}{\mathop{A}}, $ Energy of incident electrons is greater than the ionization energy of electrons in K-shell, the K-shell electrons will be knocked off. Hence, characteristic X-ray spectrum will be obtained.