• # question_answer In a region magnetic field along x-axis changes with time according to the given graph. If time period, pitch and radius of helix path are ${{T}_{0}},\,\,{{P}_{0}}$ and R respectively, then which of the following is incorrect, if the particle is projected at an angle ${{\theta }_{0}}$ with the positive x-axis in $x-y$plane? A)  At $t=\frac{{{T}_{0}}}{2},$ coordinates of charge are $\left( \frac{{{P}_{0}}}{2},\,0,\,-2{{R}_{0}} \right)$ B)  At$t=\frac{3{{T}_{0}}}{2},$ coordinates of charge are $\left( \frac{3{{P}_{0}}}{2},\,0,\,2{{R}_{0}} \right)$ C)  Two extremes from x-axis are at a distance $2{{R}_{0}}$ from each other D)  Two extremes from x-axis are at a distance $4{{R}_{0}}$ from each other

At        $t=\frac{{{T}_{0}}}{2},\,\,x=\frac{{{P}_{0}}}{2}$ $\theta =\pi ;\,\,y=0$ and $z=-2{{R}_{0}}$ At         $t=\frac{3{{T}_{0}}}{2},\,\,x=\frac{3{{P}_{0}}}{2}$ $\theta =\pi ,$ $y=0$ and $z=2{{R}_{0}}$ Maximum distance $4{{R}_{0}}$. Here, three options are correct exceptane.