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Concepts Of Physics MCQ Edition [Volume 2]
Exam
Concepts Of Physics MCQ Edition [Volume 2]
Subject
Physics
Chapter
X-rays

Concepts Of Physics MCQ Edition [Volume 2] · Physics · X-rays

Moseley's law describing characteristic X-rays is expressed as =...

Moseley's law describing characteristic X-rays is expressed as ν=a(Z−b)\sqrt{\nu} = a(Z - b). In this formula,

Options

  1. Aboth aa and bb are dependent on the material
  2. Bbb is independent of the material while aa depends on it
  3. Caa is independent of the material while bb depends on it
  4. Dboth aa and bb are independent of the material

Correct answer

D. both aa and bb are independent of the material

Step-by-step solution

Moseley's law is given by ν=a(Z−b)\sqrt{\nu} = a(Z - b), where ν\nu is the frequency of the characteristic X-ray and ZZ is the atomic number of the target material.

The constants aa and bb depend only on the type of the spectral series (such as KK-series, LL-series, etc.) and the specific transition line within that series (like KαK_{\alpha}, KβK_{\beta}).

For example, for the KαK_{\alpha} line, the screening constant is b≈1b \approx 1 and the proportionality constant is a=3Rc4a = \sqrt{\dfrac{3Rc}{4}}. These values remain the same for all elements.

Thus, both aa and bb are independent of the target material.
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