An electron from various excited states of hydrogen atom emit radiation of 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 $\bigwedge_{n}$ be the wavelength of the emitted photon in transition from the $n^{th}$ state to the ground state. For large $n$ (A, B are constants)

Question

( A ) $\bigwedge_n^2 = A + B\lambda_n^2$
( B ) $\bigwedge_n = A + \frac{B}{\lambda_n^2}$
( C ) $\bigwedge_n^2 = \lambda$
( D ) $\bigwedge_n = A + B\lambda_n$