A 100 eV electron is projected directly toward a large metal plate that has surface charge density of −2.0×10−6 Cm−2. From what distance must the electron be projected, if it is to just fail to strike that plate?
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a
0.44 mm
b
0.20 mm
c
1 mm
d
0.30 mm
answer is A.
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Detailed Solution
Electric field due to large metal plate is σ/ε0. Since the electron has energy of 100 eV so it can cross a potential difference of 100 V only. So100=σε0d(solve to get d)
A 100 eV electron is projected directly toward a large metal plate that has surface charge density of −2.0×10−6 Cm−2. From what distance must the electron be projected, if it is to just fail to strike that plate?