Calculate the shortest wavelength in the Balmer series of hydrogen atom. In which region ( infrea-red, visible, ultraviolet) of hydrogen spectrum does this wavelength lie ?

Explanation

To calculate the shortest wavelength in the Balmer series of the hydrogen atom, we follow these steps:

### Step 1: Understand the Balmer Series
The Balmer series corresponds to transitions of electrons in a hydrogen atom that end at the n=2 energy level. The shortest wavelength corresponds to the transition from the highest energy level (n=infinity) to n=2.

### Step 2: Use the Rydberg Formula
The Rydberg formula for the wavelength of emitted light during electron transitions is given by:

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