JEE Main · 2023 · Shift-IImediumPERI-001

Henry Moseley studied characteristic X-ray spectra of elements. The graph which represents his observation correctly…

Classification of Elements & Periodicity · Class 11 · JEE Main Previous Year Question

Question

Henry Moseley studied characteristic X-ray spectra of elements. The graph which represents his observation correctly is:

(Given: vv = Frequency of X-ray emitted, ZZ = Atomic number)

Options
  1. a

    Option (1): vv vs ZZ — curved

  2. b

    Option (2): vv vs ZZ — linear

  3. c

    Option (3): v\sqrt{v} vs ZZ — linear

  4. d

    Option (4): v\sqrt{v} vs ZZ — curved

Correct Answerc

Option (3): v\sqrt{v} vs ZZ — linear

Detailed Solution

🧠 Moseley's law is linear in v\sqrt{v}, not in vv Moseley found that ν=a(Zb)\sqrt{\nu} = a(Z - b). Plot ν\sqrt{\nu} on the y-axis and ZZ on the x-axis — you get a straight line. image 🗺️ Read the graph A plot of vv vs ZZ is curved because v(Zb)2v \propto (Z-b)^2. Only when you take the square root does the curve straighten out. So option (3) — v\sqrt{v} vs ZZ, linear — matches Moseley's equation exactly.

⚠️ Common mistake Many students confuse the axes. Notice the y-axis is v\sqrt{v}, not vv. A curved v\sqrt{v} vs ZZ graph (option 4) would mean the law does not hold — it does.

Answer: (c)\boxed{\text{Answer: (c)}}

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