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  • The minimum wavelength of X-rays produced by an electron accelerated through a potential difference of V volts is proportional to:Option: 1 <img alt=

The minimum wavelength of X-rays produced by an electron accelerated through a potential difference of V volts is proportional to:

Option: 1

\sqrt{V}


Option: 2

\frac{1}{V}


Option: 3

\frac{1}{\sqrt{V}}


Option: 4

V^{2}


Answers (1)

best_answer

If whole energy of e^{-} is converted into x-rays then corresponding wavelength will be minimum.

\begin{aligned} & \because \mathrm{eV}=\frac{\mathrm{hc}}{\lambda_{\min }} \\ & \lambda_{\min }=\frac{\mathrm{hc}}{\mathrm{eV}} \Rightarrow \lambda_{\min } \propto \frac{1}{\mathrm{~V}} \end{aligned}

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vishal kumar

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