An electron in the first excited state of if atom obserbed a photon and further excited .The de broglie wavelength of the electron in this state is found to be `13.4Å` Find the wavelength of the photon abserbed by the electron in angstroms Also find the longest and the shorted wavelength emitted when this electron de-excited back to the ground state

Explanation

To solve the problem step by step, we will follow the outlined process based on the information provided in the video transcript.

### Step 1: Understand the Problem
An electron in the first excited state (n=2) of a hydrogen atom absorbs a photon and gets excited to a higher energy level. The de Broglie wavelength of the electron in this excited state is given as 13.4 Å. We need to find the wavelength of the absorbed photon and the longest and shortest wavelengths emitted when the electron de-excites back to the ground state.

### Step 2: Calculate the Velocity of the Electron
Using the de Broglie wavelength formula:
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