In X- ray tube when the accelerating voltage V is halved, the dif… - Vidyadip

MCQ

In $X-$ ray tube when the accelerating voltage $V$ is halved, the difference between the wavelength of $K_{\alpha}$ line and minimum wavelength of continuous $X-$ ray spectrum

A
Remains constant
B
Becomes more than two times
C
Becomes half
✓
Becomes less than two times

✓

Answer

Correct option: D.

Becomes less than two times

d
(d) $\Delta \lambda = {\lambda _{{K_\alpha }}} - {\lambda _{\min }}$ When $V$ is halved ${\lambda _{\min }}$ becomes two times but ${\lambda _{{K_\alpha }}}$remains the same.

$\Delta \lambda ' = {\lambda _{{K_\alpha }}} - 2{\lambda _{\min }}$$ = 2(\Delta \lambda ) - {\lambda _{{K_a}}}$

$\Delta \lambda \,' < 2\,(\Delta \lambda )$

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