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(C) According to Moseley's law,the frequency $
u$ of a characteristic $X$-ray is related to the atomic number $Z$ of the target material by the equat

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(C) According to Moseley's law,the frequency $
u$ of a characteristic $X$-ray is related to the atomic number $Z$ of the target material by the equation:$\sqrt{
u} = a(Z - b)$where $a$ and $b$ are constants.Squaring both sides,we get:$
u = a^2(Z - b)^2$This equation is of the form $
u = k(Z - b)^2$,which represents a parabola opening upwards with its vertex at $(b, 0)$ on the $Z$-axis.Comparing this with the given options,the graph that represents a parabolic relationship between $
u$ and $Z$ is graph $C$.

The graph that correctly represents the relation of frequency $\nu$ of a particular characteristic $X$-ray with the atomic number $Z$ of the material is

Similar Questions

Which of the following is related to the characteristic emission of $X$-rays?

$X$-rays of wavelength $\lambda = 1\,\mathring{A}$ have a frequency of:

$X$-rays of which of the following wavelengths are hardest? (in $\mathring{A}$)

Moseley measured the frequency $(f)$ of the characteristic $X$-rays from many metals of different atomic number $(Z)$ and represented his results by a relation known as Moseley's law. This law is ($a, b$ are constants)

Assertion: $X-$rays travel with the speed of light.
Reason: $X-$rays are electromagnetic rays.

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