There exists a uniform magnetic and electric | vedclass

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Question

The particle will move in a non-uniform helical path with increasing pitch as shown below:

Its time period will be:

Changing the view, the parti

Vedclass · Accepted Answer

$(0,  {\pi ^2}/2, 2)$

Vedclass · Answer

The particle will move in a non-uniform helical path with increasing pitch as shown below:

Its time period will be:

Changing the view, the particle is seemed to move in a circular path in $(\mathrm{x}-\mathrm{z})$ plane as below

Its time period will be $\mathrm{T}=\frac{2 \pi \mathrm{m}}{\mathrm{qB}}=2 \pi \mathrm{sec}$

Changing the view the particle is seemed to move in a circular path in $(\mathrm{x}-\mathrm{z})$ plane as below

After $\pi$ -seconds the particle will be at point $'P',$ hence $x$ coordinate will be $0$

For linear motion along $y$ - direction.

$\mathrm{y}(\pi)=0(\pi)+\frac{1}{2} \frac{\mathrm{E} \mathrm{q}}{\mathrm{m}}(\pi)^{2}$

$\mathrm{y}(\pi)=\frac{\pi^{2}}{2}$ and $\mathrm{OP}=2$ Hence the coordinate

$\left(0, \frac{\pi^{2}}{2}, 2\right)$

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