An electron beam is accelerated by a potential difference V to hi… - Vidyadip

MCQ

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 $λ_{min}$ is the smallest possible wavelength of $X-$ray in the spectrum, the variation of log $log$ $λ_{min}$ with $log\ V$ is correctly represented in

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Answer

Correct option: A.

a
In $\mathrm{X}$ -ray tube, $\lambda_{\min }=\frac{h c}{e V}$

$\ln \lambda_{\min }=\ln \left(\frac{h c}{e}\right)-\ln V$

Clearly, log $\lambda_{\min }$ versus log $V$ graph slope is negative hence option

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