   Chapter 30, Problem 17PE

Chapter
Section
Textbook Problem

Do the Balmer and Lyman series overlap? To answer this, calculate the shortest-wavelength Balmer line and the longest-wavelength Lyman line.

To determine

Whether the Balmer and Lyman series overlap or not.

Explanation

Given Data:

Given Balmer and Lyman series.

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:

For Balmer Series,

We have

ni=

nf=2

R=1.097×107m1

Thus, wavelength is calculated as

1λB=1.097×107m1(12212)

1λB=1.097×107m1(140)

1λB=2742500m1

λB=3.6463×107m

λB=364.63nm

For Lyman Series

We have

ni=2

nf=1

R=1

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