JEE MAIN - Chemistry (2023 - 24th January Morning Shift - No. 12)
It is observed that characteristic X-ray spectra of elements show regularity. When frequency to the power "n" i.e. $${v^n}$$ of X-rays emitted is plotted against atomic number "Z", following graph is obtained.
_24th_January_Morning_Shift_en_12_1.png)
The value of 'n' is :
1
$$\frac{1}{2}$$
2
3
Explanation
$\mathrm{h} v=\Delta \mathrm{E}=13.6 \times \mathrm{Z}^{2}\left(\frac{1}{\mathrm{n}_{1}^{2}}-\frac{1}{\mathrm{n}_{2}^{2}}\right)$
$\Rightarrow v \propto Z^{2}$
$\Rightarrow (v)^{1 / 2} \propto Z \quad\left(\mathrm{n}=\frac{1}{2}\right)$
$\Rightarrow v \propto Z^{2}$
$\Rightarrow (v)^{1 / 2} \propto Z \quad\left(\mathrm{n}=\frac{1}{2}\right)$
Comments (0)
