A proton sits at coordinates (x, y) = (0, 0) , and an electron at (d, h) , where d >> h .

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1. Electric Charges and Fields

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A proton sits at coordinates $(x, y) = (0, 0)$, and an electron at $(d, h)$, where $d >> h$. At time $t = 0$, $a$ uniform electric field $E$ of unknown magnitude but pointing in the positive $y$ direction is turned on. Assuming that $d$ is large enough that the proton-electron interaction is negligible, the $y$ coordinates of the two particles will be equal (at equal time)

A

at about $y = h/2000$

B

at an undetermined value since $E$ is unknown

C

at about $y = h/43$

D

now here : they move in opposite directions

Solution

$y_{p}=\frac{1}{2} a_{p} t^{2}=\frac{1}{2} \frac{q E}{m_{p}} t^{2}$

$y_{e}=d-\frac{1}{2} a_{e} t^{2}=\frac{1}{2} \frac{q E}{m_{e}} t^{2}$

$y_{p}=y_{e}$

Standard 12

Physics

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