   Chapter 30, Problem 16PE

Chapter
Section
Textbook Problem

Show that the entire Paschen series is in the infrared part of the spectrum. To do this, you only need to calculate the shortest wavelength in the series.

To determine

To prove:

The entire Paschen series is in the infrared part of the spectrum by calculating the shortest wavelength in the series.

Explanation

Given Data:

Given that entire Paschen series is in the infrared part of the spectrum.

Formula Used:

The relationship between the wavelength and energy level is given as

1λ=R(1nf21ni2)

Whereλ= Wavelength

R= Rydberg Constant

nf,ni = Energy levels

Calculation:

We have

ni=

nf=3

R=1.097×107m1

Thus, wavelength is calculated as

1λ=1

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