An electron from various excited states of hydrogen atom emit radiation to come to the ground state. Let ${\lambda _n}$, ${\lambda _g}$ be the de Broglie wavelength of the electron in the nth state and the ground state respectively. Let ${\Lambda _n}$ be the wavelength of the emitted photon in the transition from the nth state to the ground state. For large n, (A, B are constants)

Question

An electron from various excited states of hydrogen atom emit radiation to come to the ground state. Let ${\lambda _n}$, ${\lambda _g}$ be the de Broglie wavelength of the electron in the n^th state and the ground state respectively. Let ${\Lambda _n}$ be the wavelength of the emitted photon in the transition from the n^th state to the ground state. For large n, (A, B are constants)

${\Lambda _n} \approx A + {B \over {\lambda _n^2}}$

${\Lambda _n} \approx A + B{\lambda _n}$

$\Lambda _n^2 \approx A + B\lambda _n^2$

$\Lambda _n^2 \approx \lambda$

Solution

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