The wavelength of characteristic X-rays Kα line emitted by hydrogen like atom is 0.32A˚. The wavelength of Kβ line emitted by the same element is

Name: Video solution 1: The wavelength of characteristic X-rays Kα line emitted by hydrogen like atom is 0.32A˚. The wavelength of Kβ line emitted by the same element is
Uploaded: 2022-07-02T18:42:16.000Z
Duration: 14 min
Description: Video solution 1: The wavelength of characteristic X-rays Kα line emitted by hydrogen like atom is 0.32A˚. The wavelength of Kβ line emitted by the same element is

λKα1=R(Z−b)2[121−221]λKβ1=R(Z−b)2(121−321)λKαλKβ=(8/9)(3/4)=43×89=3227or λKβ=3227×λKα=3227×0.32=0.27A˚.

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Dual Nature of Radiation and Matter

Electron Emission

The wavelength of characteristic X-rays K_{} line emitted by h

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The wavelength of characteristic $X$ -rays $K_{α}$ line emitted by hydrogen like atom is $0.32 \overset{˚}{A}$ . The wavelength of $K_{β}$ line emitted by the same element is

0.21 \overset{˚}{A}

0.27 \overset{˚}{A}

0.33 \overset{˚}{A}

0.40 \overset{˚}{A}

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Updated on: Jul 2, 2022

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The wavelength of characteristic

X

-rays

K_{α}

line emitted by hydrogen like atom is

0.32 \overset{˚}{A}

. The wavelength of

K_{β}

line emitted by the same element is

8 mins ago

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Text solutionVerified

\frac{1}{λ _{K_{α}}} = R (Z - b)^{2} [\frac{1}{1 ^{2}} - \frac{1}{2 ^{2}}]

\frac{1}{λ _{K_{β}}} = R (Z - b)^{2} (\frac{1}{1 ^{2}} - \frac{1}{3 ^{2}})

\frac{λ _{K β}}{λ _{K_{α}}} = \frac{( 3/4 )}{( 8/9 )} = \frac{3}{4} \times \frac{9}{8} = \frac{27}{32}

λ_{K_{β}} = \frac{27}{32} \times λ_{K_{α}} = \frac{27}{32} \times 0.32 = 0.27 \overset{˚}{A} .

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Question Text	The wavelength of characteristic $X$ -rays $K_{α}$ line emitted by hydrogen like atom is $0.32 \overset{˚}{A}$ . The wavelength of $K_{β}$ line emitted by the same element is
Updated On	Jul 2, 2022
Topic	Dual Nature of Radiation and Matter
Subject	Physics
Class	Class 12
Answer Type	Text solution:1 Video solution: 1
Upvotes	115
Avg. Video Duration	14 min

The wavelength of characteristic $X$ -rays $K_{α}$ line emitted by hydrogen like atom is $0.32 \overset{˚}{A}$ . The wavelength of $K_{β}$ line emitted by the same element is

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The wavelength of characteristic $X$ -rays $K_{α}$ line emitted by hydrogen like atom is $0.32 \overset{˚}{A}$ . The wavelength of $K_{β}$ line emitted by the same element is