There exists a uniform magnetic and electric field of magnitude $$1$$ T and $$1$$ V $$/m$$, respectively, along positive $$y-axis$$. A charged particle of mass $$1$$ kg and of charge $$1$$ C is having velocity $$1$$ $$m/s$$ along $$x-axis$$ and is at origin at t $$=$$ $$0$$. Then the $$co-ordinates$$ of particle at time−π seconds will be

Question

There exists a uniform magnetic and electric field of  magnitude $$1$$ T and $$1$$ V $$/m$$, respectively, along positive $$y-axis$$. A charged particle of mass $$1$$ kg and of charge $$1$$ C is having velocity $$1$$ $$m/s$$ along $$x-axis$$ and is at origin at t $$=$$ $$0$$. Then the $$co-ordinates$$ of particle at time−π seconds will be

Infinity Learn · Accepted Answer

The particle will move in a $$non-uniform$$ helical path with increasing pitch as shown below.Its time period will be:  $$T=2$$$$π$$$$mqB=2$$π  secondsChanging the view, the particle is seemed to move in a circular path in (X$$ $$-$$ $$Z) plane as shown belowAfter π$$-seconds$$ the particle will be at point 'P' (after$$ completing half $$circle), hence X coordinate of P will be $$0$$.yπ$$=0$$π$$+12$$  Eqm$$π$$$$2$$ $$=$$ π$$22z=2r=2mv/qB=2mHence$$,  the  coordinate  $$0$$, π$$22$$,  $$2$$

There exists a uniform magnetic and electric field of magnitude 1 T and 1 V /m, respectively, along positive y-axis. A charged particle of mass 1 kg and of charge 1 C is having velocity 1 m/s along x-axis and is at origin at t = 0. Then the co-ordinates of particle at time−π seconds will be

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