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Chapter 37: Q. 1 - Excercises And Problems (page 1081)

What are the wavelengths of spectral lines in the Balmer series with n = $6$ , $8$ , and $10$ ?

Short Answer

Expert verified

The wavelengths of spectral lines in the Balmer series with n= $6$ , $8$ , and $10$ are:

role="math" localid="1649848736527" $位_{6} = 410.31 n m$

role="math" localid="1649848781747" $位_{8} = 389.03 n m$

$位_{10} = 379.92 n m$

Step by step solution

01

To calculate:

The wavelength of the spectral lines in the Balmer series with n = $6$ , $8$ and $10$ .

02

Simplification

We know, the formula for the Balmer series is :

$\frac{1}{2^{2}} - \frac{1}{n^{2}} = \frac{91.18 (n m)}{位}$ (where n= $3$ , $4$ , $5$ .....)

$位 = \frac{91.18 (n m)}{\frac{1}{2^{2}} - \frac{1}{n^{2}}}$

For n= $6$ :

$位 = \frac{91.18 (n m)}{\frac{1}{2^{2}} - \frac{1}{6^{2}}}$

$位 = 410.31 n m$

For n= $8$ :

$位 = \frac{91.18 (n m)}{\frac{1}{2^{2}} - \frac{1}{8^{2}}}$

$位 = 389.03 n m$

For n= $10$ :

$位 = \frac{91.18 (n m)}{\frac{1}{2^{2}} - \frac{1}{10^{2}}}$

$位 = 379.92 n m$

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Most popular questions from this chapter

Suppose that in a hypothetical oil-drop experiment you measure the following values for the charges on the drops: $3.39 脳 10^{- 19} C, 6.65 脳 10^{- 19} C, 2.66 脳 10^{- 19} C, 10.64 脳 10^{- 19} C a n d 9.31 脳 10^{- 19}$ $C$ . What is the largest value of the fundamental unit of charge that is consistent with your measurements?

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