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Chapter 7, Problem 94P

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QUESTION:

Problem 94P

A sample tube consisted of atomic hydrogens in their ground state. A student illuminated the atoms with monochromatic light, that is, light of a single wavelength. If only two spectral emission lines in the visible region are observed, what is the wavelength (or wavelengths) of the incident radiation?

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QUESTION:

Problem 94P

A sample tube consisted of atomic hydrogens in their ground state. A student illuminated the atoms with monochromatic light, that is, light of a single wavelength. If only two spectral emission lines in the visible region are observed, what is the wavelength (or wavelengths) of the incident radiation?

ANSWER:

Step 1 of 2

As only the Balmer series has emission lines lies in the Visible region of the spectrum of hydrogen atom. This means the two emission lines that were observed in visible region must be due to the transitions from . This implies that the initial transition must be from  orbit.

The energy gap between two orbits (final and initial orbits) is equals to

For hydrogen atom it is equal to

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