A 100 eV electron is projected directly toward a large metal plate that has surface charge density of $- 2.0 \times 10^{- 6} C m^{- 2} .$ From what distance must the electron be projected, if it is to just fail to strike that plate?

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1 mm

0.44 mm

0.20 mm

0.30 mm

answer is A.

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Detailed Solution

Electric field due to large metal plate is $σ / ε_{0} .$ Since the electron has energy of 100 eV so it can cross a potential difference of 100 V only. So

$100 = \frac{σ}{ε_{0}} d (s o l v e t o g e t d)$

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