The intensity distribution of X- rays from two coolidge tubes ope… - Vidyadip

MCQ

The intensity distribution of $X-$ rays from two coolidge tubes operated on different voltages $V_1$ and $V_2$ and using different target materials of atomic numbers $Z_1$ and $Z_2$ is shown in the figure. Which one of the following inequalities is true?

✓
$V_1$ > $V_2$, $Z_1$ < $Z_2$
B
$V_1$ > $V_2$, $Z_1$ > $Z_2$
C
$V_1$ < $V_2$, $Z_1$ > $Z_2$
D
$V_1$ = $V_2$, $Z_1$ < $Z_2$

✓

Answer

Correct option: A.

$V_1$ > $V_2$, $Z_1$ < $Z_2$

a
(a) ${\lambda _{\min }} = \frac{{hc}}{{eV}}$ ==>$\lambda \propto \frac{1}{V}$(see graph)

==>${V_1} > {V_2}$

$\sqrt \nu = a(Z - b)$ Moseley’s law
$\nu \propto {(Z - 1)^2}$

==> $\lambda \propto \frac{1}{{{{(Z - 1)}^2}}}$

${\lambda _1} > {\lambda _2}$ (see graph for characteristic lines)

==>${Z_2} > {Z_1}$.

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