JEE Main 2023 · 8 April · evening · Single correct · +4 / −1

Henry Moseley studied characteristic X-ray spectra of elements. The graph which represents his observation correctly is
Given v= frequency of X-ray emitted
Z = atomic number

  1. (a)
    Option (a)
  2. (b)
    Option (b)
  3. (c)
    Option (c)
  4. (d)
    Option (d)
Answer and solution

Answer (b)

Solution

Chemistry ma’am · 3 steps

Moseley's law makes √ν, not ν itself, a straight line against the atomic number Z.

  1. Moseley's law. Moseley measured the X-ray frequency ν given out by many elements. He found that the square root of the frequency rises in a straight line with the atomic number Z.

    √ν = a(Z - b)

  2. What it means. Here a and b are constants. Squaring gives ν ∝ (Z-b)², so a plot of ν itself against Z is a curve. Only the √ν against Z plot is a straight line. Strictly, that line meets the Z axis at Z = b, a small number, but the straight-line shape is what matters here.
    OptionPlotRelation it claimsFits Moseley?
    (a)ν² against Zν ∝ √ZNo
    (b)√ν against Z√ν ∝ ZYes
    (c)ν against Zν ∝ ZNo, ν grows as Z²
    (d)√Z against νν ∝ √ZNo
  3. So. The straight line of √ν against Z in (b) is Moseley's observation.

The idea to keep. Remember Moseley as √ν ∝ Z. Because ν follows Z and not atomic mass, atomic number became the basis of the modern periodic law.

Answer from the NTA final answer key. Solution by PrepWiser.

Study Periodic Table & Periodicity

Asked about 120 times in JEE Main since 2020. This question is from 2023.