Solid targets of different elements are bombarded by highly en...

Solid targets of different elements are bombarded by highly en ergetic electron beams. The frequency (f) of the characteristic X-rays emitted from different targets varies with atomic number

Z

Options

A $f \propto \sqrt{Z}$
B $f \propto Z^2$
C $f \propto Z$
D $f \propto Z^{3 / 2}$ .

Correct answer

B. $f \propto Z^2$

Step-by-step solution

According to Moseley's law

(Z-\sigma) \propto \sqrt{f} \quad

or,

f \propto(Z-\sigma)^2

. Note : The correct answer should have been

f \propto(Z-\sigma)^2

where

\sigma

is the screening constant. Many authors use at this level,

\sigma=1

approximately.

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