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题图1示为一固定不动的绝缘的圆筒形容器的横截面,其半径为 R,圆筒的轴线在 O 处.圆筒内有匀强磁场,磁场方向与圆筒的轴线平行,磁感应强度为 B.筒壁的H处开有小孔,整个装置处在真空中.现有一质量为 m、电荷量为 q 的带电粒子 P 以某一初速度沿筒的半径方向从小孔射入圆筒,经与筒壁碰撞后又从小孔射出圆筒.设:筒壁是光滑的,P 与筒壁碰撞是弹性的,P 与筒壁碰撞时其电荷量是不变的.若要
Figure 1 shows a cross-section of a fixed, insulative cylindrical container with a radius R and the axis of the cylinder at O. The cylinder has a uniform magnetic field and the magnetic field is parallel to the axis of the cylinder. The magnetic induction intensity is B. Holes are formed in the wall of H. The whole device is in a vacuum. A charged particle P with a mass of m and a charge quantity q is shot from the hole at a certain initial velocity in the direction of the radius of the tube. Into the cylinder, after colliding with the cylinder wall and then out of the cylinder from the hole. Design: The cylinder wall is smooth, P and the barrel wall collision is elastic, P and the cylinder wall when the charge is constant. want