In the plane mirror, the coordinates of image of a charged particle (initially$$ at origin as shown in $$figure) after two and a half time periods are (initial$$ velocity of charge particle is $$V0$$, in the $$x-y$$ plane and the plane mirror is perpendicular to the $$x-axis$$. A uniform magnetic field $$Bi^$$ exists in the space. $$P0$$ is pitch of helix, $$R0$$ is radius of helix.$$)

Question

In the plane mirror, the coordinates of image of a charged particle (initially$$ at origin as shown in $$figure) after two and a half time periods are (initial$$ velocity of charge particle is $$V0$$, in the $$x-y$$ plane and the plane mirror is perpendicular to the $$x-axis$$. A uniform magnetic field $$Bi^$$ exists in the space. $$P0$$ is pitch of helix, $$R0$$ is radius of helix.$$)

Infinity Learn · Accepted Answer

After two and a half time periods, its $$x-coordinate$$ will be $$2.5P0$$ (so$$ $$x-coordinate$$ of image will be $$10P0+7.5P0=17.5$$ $$P0).It will be at distance $$2R0$$ (equal$$ to $$diameter) on the negative $$z-axis$$ and $$y-coordinate$$ will be zero.

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