Question

The shortest wavelength produced in an X-ray tube operating at $0.5\times {10}^{6}V$ is

• A. Depending on the target element
• B. About $2.5\times {10}^{-12}m$
• C. Double of the shortest wavelength produced at $1$ million volt
• D. Dependent only on the target material

Answer 1

Answer: (B), (C)

The correct options are
B About $2.5\times {10}^{-12}m$
C Double of the shortest wavelength produced at $1$ million volt

Let Voltage be V
Energy = E
$E=\frac{hc}{\lambda }$ -------------(1)
Also $E=Ve$ --------------(2)
where $e=chargeonelectron$
$m=massofelectron$
Equating (1) and (2)
$\lambda =\frac{hc}{Ve}$
hence If V is doubled, wavelength is halved

placing the values of $h,c,e,v$ we get

$\lambda =2.5\times {10}^{-12}m$