题目内容
如下图所示,半径为R=10cm的匀强磁场区域边界跟Y轴相切于坐标原点O,磁感强度B=0.322T,方向垂直纸面向里,在O处有一放射源S,可沿纸面向各个方向射出速率为V=3.2×
的α粒子.已知α粒子质量m=6.4×
,电量q=3.2×
.
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241157169761380.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241157169762624.jpg)
(1)画出α粒子通过磁场空间做圆周运动的圆心点的轨迹.
(2)求出α粒子通过空间的最大偏转角
.
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241157169131020.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241157169451033.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241157169601011.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241157169761380.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241157169762624.jpg)
(1)画出α粒子通过磁场空间做圆周运动的圆心点的轨迹.
(2)求出α粒子通过空间的最大偏转角
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824115717023938.gif)
(1)α粒子做圆周运动圆心的轨迹如甲虚线所示
(2)
=![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824115717085962.gif)
(2)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824115717023938.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824115717085962.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241157171012093.gif)
(1)带电α粒子在磁场中运动的轨道半径
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241157171161173.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824115717132947.gif)
所以α粒子做圆周运动圆心的轨迹如甲虚线所示.
(2)α粒子偏转角随在圆形磁场区域内轨迹的变长而变大,如图乙所示,将磁场区域的直径作为α粒子运动轨迹的弦,对应的偏转角最大.
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241157171471158.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824115717023938.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824115717085962.gif)
![](http://thumb2018.1010pic.com/images/loading.gif)
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