题目内容
氢核(
H)和氦核(
He)垂直射入同一有界匀强电场,分别求在下列情况下离开电场时它们的横向位移之比:(1)初速相同;(2)初动能相同;(3)初动量相同;(4)先经过同一加速电场后进入偏转电场。![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241229492264165.jpg)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122949194307.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122949210316.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241229492264165.jpg)
粒子在匀强电场中偏转,做匀变速曲线运动:
L=v0t .........(1) (L为极板长)
y=![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122949241338.gif)
t2 .........(2) (y为横向位移)
由(1)(2)两式得:y=![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122949241338.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122949288441.gif)
(1)初速相同时,y∝
,
=
·
=
·
=
.
(2)初动能相同时y=
y∝q
=
=
.
(3)初动量相同时 y=
y∝qm
=
·
=
·
=
.
(4)先经过同一加速电场加速
由qU加=
mv02得y=
,与qm无关。
=1
L=v0t .........(1) (L为极板长)
y=
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122949241338.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122949257378.gif)
由(1)(2)两式得:y=
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122949241338.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122949288441.gif)
(1)初速相同时,y∝
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122949366352.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122949382378.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122949397379.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122949413385.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122949241338.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122949444338.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122949506339.gif)
(2)初动能相同时y=
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122949522447.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122949382378.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122949397379.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122949241338.gif)
(3)初动量相同时 y=
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122949584467.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122949382378.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122949397379.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122949647383.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122949241338.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122949678341.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122949694339.gif)
(4)先经过同一加速电场加速
由qU加=
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122949241338.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122949834423.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122949382378.gif)
略
![](http://thumb2018.1010pic.com/images/loading.gif)
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