Question

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

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

For X- rays,

$eV=\frac{hc}{{\lambda }_{min}}$

Taking log on both sides,

$loge+logV=loghc-log{\lambda }_{min}$

$\Rightarrow logV=-log{\lambda }_{min}+constant$

So option $b$ is correct answer.