题目内容
(2010年济宁模拟)根据巴耳末公式,指出氢原子光谱在可见光范围内波长最长的两条谱线所对应的n,它们的波长各是多少?氢原子光谱有什么特点?
6.5×10-7 m 4.8×10-7 m 不连续的线状谱
根据巴耳末公式
=R(
-
),得
当n=3,4时氢原子发光所对应的波长最长
当n=3时有
=1.10×107×(
-
)
解得λ1=6.5×10-7m
当n=4时有
=1.10×107×(
-
)
解得λ2=4.8×10-7 m.
除巴耳末系外,在红外和紫外光区的其他谱线也都是满足与巴耳末公式类似的关系式,即
=R(
-
).其中a分别为1,3,4,…对应不同的线系,由此可知氢原子光谱是由一系列线系组成的不连续的线状谱.
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824140646367362.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824140646413407.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824140646476414.png)
当n=3,4时氢原子发光所对应的波长最长
当n=3时有
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824140646523394.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824140646413407.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824140646663393.png)
解得λ1=6.5×10-7m
当n=4时有
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824140646757424.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824140646413407.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824140647115380.png)
解得λ2=4.8×10-7 m.
除巴耳末系外,在红外和紫外光区的其他谱线也都是满足与巴耳末公式类似的关系式,即
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824140646367362.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824140647396397.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824140646476414.png)
![](http://thumb2018.1010pic.com/images/loading.gif)
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