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Structure of Atom question

2023 · 8 Apr · Shift 2 · Q5
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  5. /2023 · 8 Apr · Shift 2 · Q5

Structure of Atom question

2023 · 8 Apr · Shift 2 · Q5

JEE MainChemistryStructure of AtomMCQ+4 / −1
Henry Moseley studied characteristic X-ray spectra of elements. The graph which represents his observation correctly is Given v=v=v= frequency of X\mathrm{X}X-ray emitted Z = atomic number
  1. A
    JEE Main 2023 (Online) 8th April Evening Shift Chemistry - Structure of Atom Question 49 English Option 1
  2. B
    JEE Main 2023 (Online) 8th April Evening Shift Chemistry - Structure of Atom Question 49 English Option 2
  3. C
    JEE Main 2023 (Online) 8th April Evening Shift Chemistry - Structure of Atom Question 49 English Option 3
  4. D
    JEE Main 2023 (Online) 8th April Evening Shift Chemistry - Structure of Atom Question 49 English Option 4
View written solutionFree

Correct answer: B

  1. Moseley’s law

Henry Moseley found that for characteristic X-rays, the frequency ν\nuν is related to atomic number ZZZ by

ν=a(Z−b)\sqrt{\nu} = a(Z-b)ν​=a(Z−b)

where aaa and bbb are constants for a given series.

Equivalently,

ν=k(Z−b)2\nu = k(Z-b)^2ν=k(Z−b)2

So:

  • ν\nuν is not linear in ZZZ.
  • ν\sqrt{\nu}ν​ is linear in ZZZ.
  1. What graph should represent Moseley’s observation?

Since the question states the axes involve frequency ν\nuν and atomic number ZZZ, the correct observation is:

ν∝(Z−b)2\nu \propto (Z-b)^2ν∝(Z−b)2

Thus the graph of ν\nuν versus ZZZ must be an upward-opening parabola.

If the graph were ν\sqrt{\nu}ν​ versus ZZZ, it would be a straight line.

  1. Selecting the option

Among the given options, the one corresponding to Moseley’s observation is Option B.

  1. Comparison with stored answer

Stored correct answer: B

My derived answer: B

Hence, they agree.

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