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  4. An electron falls from rest through a vertical distance h in a uniform and vertically upward directed electric field E. The direction of electrio field is now reversed, keeping its magnitude the same. A proton is allowed to fall from rest in it through the same vertical distance h. The time of fall of the electron, in comparison to the time of fall of the proton is

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Q. An electron falls from rest through a vertical distance $h$ in a uniform and vertically upward directed electric field $E$. The direction of electrio field is now reversed, keeping its magnitude the same. A proton is allowed to fall from rest in it through the same vertical distance $h$. The time of fall of the electron, in comparison to the time of fall of the proton is

NEETNEET 2018Electric Charges and Fields

Solution:

$h = \frac{1}{2} \frac{eE}{m} t^{2} $
$\therefore t = \sqrt{\frac{2hm}{eE}} $
$\therefore t \propto \sqrt{m} $ as ‘ $e$’ is same for electron and proton.
$\therefore $ Electron has smaller mass so it will take smaller time.