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Electron, Photon, Photo-electric Effect and X-Rays — JEE physics STD 12 Science — Question

CBSE BoardEnglish MediumSTD 12 ScienceJEE physicsElectron, Photon, Photo-electric Effect and X-Rays1 Mark
MCQ
Solid targets of different elements are bombarded by highly energetic electron beams. The frequency $(f)$ of the characteristic Xrays emitted from different targets varies with atomic number $Z$ as
  • A
    $f \propto \sqrt{Z}$
  • ✓
    $f \propto Z^2$
  • C
    $f \propto Z$
  • D
    $f \propto Z^{3 / 2}$
✓

Answer

Correct option: B.
$f \propto Z^2$
$\lambda \propto \frac{1}{Z^2} \Rightarrow \frac{c}{v} \propto \frac{1}{Z^2} \Rightarrow v \propto Z^2$

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