Modern Physics 2 Question 11
11. An electron beam is accelerated by a potential difference $V$ to hit a metallic target to produce $X$-rays. It produces continuous as well as characteristic $X$-rays. If $\lambda _{\min }$ is the smallest possible wavelength of $X$-rays in the spectrum, the variation of $\log \lambda _{\min }$ with $\log V$ is correctly represented in
(2017 Main)
(c)
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Solution:
- $\lambda _{\text {min }}=\frac{h c}{e V}$
$$ \begin{aligned} \log \left(\lambda _{\min }\right)=\log \frac{h c}{e} & -\log V \\ y & =c-x \end{aligned} $$