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Moseley's Law MCQ - Practice Questions with Answers

Edited By admin | Updated on Sep 25, 2023 25:23 PM | #NEET

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  • 14 Questions around this concept.

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If the frequency of K_{\alpha } X−rays emitted from the element with atomic number 31 is v , then the frequency of K_{\alpha } X−rays emitted from the element with atomic number 51 would be

The value of the wave length k_\alpha- line of Silver (z=47).

(Given R= 109737 \mathrm{~cm}^{-1} )

The $\mathrm{k}_{\alpha}$ radiation of $\mathrm{M}_0(\mathrm{z}=42)$ has a wavelength of $0.71 \dot{\mathrm{~A}}$, the wave length of the corresponding radiation of $\mathrm{Cu}(z=29)$

\mathrm{X} ray from a tube with a target \mathrm{A} of atomic number \mathrm{Z} shows strong \mathrm{K} lines for target \mathrm{A} and weak \mathrm{K} lines for impurities. The wavelength of \mathrm{K_\alpha} lines is \mathrm{\lambda_z} for target \mathrm{A \: and\: \lambda_1 \: and \: \lambda_2} for two impurities. \mathrm{ \frac{\lambda_z}{\lambda_1}=4 \text { and } \frac{\lambda_z}{\lambda_2}=\frac{1}{4} . }  Screening constant of \mathrm{K}_\alpha lines is unity. Select the correct statement(s).
 

\mathrm{K_\alpha} wavelength emitted by an atom of atomic number \mathrm{Z=11} is \mathrm{\lambda}. Find the atomic number for an atom that emits \mathrm{K_\alpha} radiation with wavelength \mathrm{4 \lambda} :

Characteristic X-rays of frequency 4.2 \times 10^{18} \mathrm{~Hz} are produced when transitions from K-shell take place in a certain target material. Use Mosley's law to determine the atomic number of the target material. Given Rydberg constant \mathrm{R=1.1 \times 10^7 \mathrm{~m}^{-1}}
 

Which element has a \mathrm{K_\alpha} line of wavelength \mathrm{1.785 \AA}?
 

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An X-ray tube with a copper target is found to emit lines other than those due to copper. The\mathrm{\mathrm{K}_\alpha} line of copper is known to have a wavelength 1.5405 A0 and the other two \mathrm{\mathrm{K}_\alpha} lines observed have wavelengths \mathrm{0.7092 \mathrm{~A}^0} and \mathrm{1.6578 \mathrm{~A}^0} . Identify the impurities (find the value of Z, atomic number).

Concepts Covered - 1

Moseley's Law

Moseley's Law-

During the time when the periodic table is arranged with atomic weight, Moseley measured the frequency of charcterstic X -rays from a large number of elements and plotted the square root of the frequency against its position number in the periodic table. He discovered that the plot is very close to a straight line. A portion of Moseley's plot is shown in figure where $\sqrt{\nu}$ of $\mathrm{K}_\alpha \mathrm{X}$-rays is plotted against the position number. From this linear relation, Moseley concluded that there must be a fundamental property of the atom which increases by regular steps as one moves from one element to the other. This quantity was later identified to be the number of protons in the nucleaus and was referred to as the atomic number.

                                                             

The frequency $\nu$ of a characteristic X -ray of an element is related to its atomic number Z by

$$
\sqrt{\nu}=a(Z-b)
$$

where a and b are constants called proportionality and screening (or shielding) constants. For K series, $a=\sqrt{\frac{3 R c}{4}}$ and that of b is 1 . Here R is Rydberg's constant and c is speed of light (as in Bohr's model).

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Moseley's Law

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