Hard X-rays for the study of fractures in bones should have a minimum wavelength of $10^{- 11} m$ . The accelerating voltage for electrons in X-ray machine should be:

< 124 k V

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> 124 k V

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Between

60 k V

and

70 k V

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= 100 k V

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Solution

The correct option is D $< 124 k V$
From conservation of energy the electron kinetic energy equals the maximum photon energy (we neglect the work function $ϕ$ because it is normally so small compared to ${e V}_{0}$
${e V}_{0} = {h v}_{m a x}$
${e V}_{0} = \frac{h c}{λ_{m i n}}$
$V_{0} = \frac{h c}{{e λ}_{m i n}}$
$h$ (Plank's Constant) = $6.625 \times 10^{- 34} J - s$ , $c$ (Speed of light) = $3 \times 10^{8}$ $m / s$ ,
$e$ (Charge of electron) = $1.6 \times 10^{- 19} C$
$V_{0} = \frac{12400 \times 10^{- 10}}{10^{- 11}}$
$= 124 k V$
Hence, accelerating voltage for electrons in X-ray machine should be less than $124$ $k V$ .

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Hard X-rays for the study of fractures in bones should have a minimum wavelength of 10−11m. The accelerating voltage for electrons in X-ray machine should be:

Hard X-rays for the study of fractures in bones should have a minimum wavelength of $10^{- 11} m$ . The accelerating voltage for electrons in X-ray machine should be: