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For which of the following hydrogen-like species, the wavelength of radiation emitted due to electron shifts from n = 2 to n = 1, has a maximum value?

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$H e^{+}$

$L i^{2 +}$

$B e^{3 +}$

answer is A.

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Detailed Solution

$\frac{1}{λ} = Z^{2} R_{\infty} (\frac{1}{n_{1}^{2}} - \frac{1}{n_{2}^{2}}) = Z^{2} R_{\infty} (\frac{1}{1^{2}} - \frac{1}{2^{2}}) = \frac{3}{4} Z^{2} R_{\infty} . H e n c e, λ = \frac{4}{3 Z^{2} R_{\infty}}$

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