The wavelength of the radiation emmited. when an electron jumps from 4^th to 2^nd shell in a One electron species of atomic number X is same as the wavelength of the radiation emmited when the Electron jumps from 2^nd to 1^st shell in hydrogen atom. The value of X is ________

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answer is 2.

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Detailed Solution

$\bar{υ_{H}} = \frac{1}{λ} = R [\frac{1}{1} - \frac{1}{2^{2}}] \bar{υ_{x}} = \frac{1}{λ} = R z^{2} [\frac{1}{2^{2}} - \frac{1}{4^{2}}] R [\frac{1}{1} - \frac{1}{4}] = R z^{2} [\frac{1}{4} - \frac{1}{16}] Z = 2$

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