An electron in \( \mathrm{Li}^{2+} \) ion makes a transition from higher state \( \mathrm{n}_{2}...

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An electron in \( \mathrm{Li}^{2+} \) ion makes a transition from higher state \( \mathrm{n}_{2} \) to lower state \( \mathrm{n}_{1}=6 \). The emitted photons is used to ionize an electron in \( \mathrm{H} \)-atom from \( 2^{\text {nd }} \) excited state. The electron on leaving the \( \mathrm{H} \)-atom has a de-Broglie wavelength \( \lambda=12.016 \AA \). Find the value of \( \mathrm{n}_{2} \).
Note: Use \( (12.016)^{2}=\frac{150 \times 144}{13.6 \times 11}, \lambda_{\AA}=\sqrt{\frac{150}{\mathrm{KE}_{\mathrm{eV}}}} \)
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