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QJEEM23Ch3ee8: JEE Main 2023 Chemistry - Class 11 JEEM23Ch3ee8 Solution: It is observed that characteristic X-ray spectra of elements…

It is observed that characteristic X-ray spectra of elements show regularity. When frequency to the power "n" i.e. vn{v^n} of X-rays emitted is plotted against atomic number "Z", following graph is obtained.

JEE Main 2023 (Online) 24th January Morning Shift Chemistry - Structure of Atom Question 51 English

The value of 'n' is :

Multiple Choice Options

  • A 1
  • B 12\frac{1}{2}
  • C 2
  • D 3

Step-by-Step Verified Solution

hv=ΔE=13.6×Z2(1n12−1n22)\mathrm{h} v=\Delta \mathrm{E}=13.6 \times \mathrm{Z}^{2}\left(\frac{1}{\mathrm{n}_{1}^{2}}-\frac{1}{\mathrm{n}_{2}^{2}}\right)

⇒v∝Z2\Rightarrow v \propto Z^{2}

⇒(v)1/2∝Z(n=12)\Rightarrow (v)^{1 / 2} \propto Z \quad\left(\mathrm{n}=\frac{1}{2}\right)

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