题目内容
试计算氢原子光谱中莱曼系的最长波和最短波的波长各是多少?
1.22×10-7 m 9.66×10-6 m
根据莱曼系波长倒数公式:
=R(
-
),n=2,3,4…
可得λ=![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824120654801589.gif)
当n=2时波长最短,其值为
λ=
=
m=1.22×10-7 m
当n=∞时,波长最长,其值为
λ=
=
=
m=9.66×10-6 m.
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824120654754234.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824120654770229.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824120654785250.gif)
可得λ=
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824120654801589.gif)
当n=2时波长最短,其值为
λ=
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824120654801589.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824120654848794.gif)
当n=∞时,波长最长,其值为
λ=
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824120654957441.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824120654972240.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824120655160430.gif)
![](http://thumb.zyjl.cn/images/loading.gif)
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