Atomic Spectra

Step 1: The wavelength of the emitted radiation corresponds to a specific transition in the hydrogen atom. Based on the energy difference between the levels, we can identify the series of the hydrogen spectrum. Step 2: The energy levels of the hydrogen atom are given by the formula: where is the principal quantum number. Step 3: The energy difference between two levels, say and , is given by: Step 4: The transition that corresponds to the wavelength is associated with the and levels of the hydrogen atom. This is part of the Balmer series, which involves transitions from higher levels (with ) to . Step 5: Since the wavelength 486 nm corresponds to this transition, it falls in the Balmer series of the hydrogen spectrum.