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Electrically neutral ink droplets pass through an electron gun in an ink-jet printer and capture some electrons, ending with a net charge of -1 x 10^-10 C. Given that a single electron carries -1.602 x 10^-19 C, about how many electrons did the droplet capture?
AAbout 6 x 10^18 electrons
BAbout 1.6 x 10^8 electrons
CAbout 6 x 10^-8 electrons
DAbout 6 x 10^8 electrons
Answer & Solution
Correct answer: D. About 6 x 10^8 electrons
1. The number of electrons captured equals the droplet's total charge divided by the charge on one electron.
2. n = (-1 x 10^-10 C) / (-1.602 x 10^-19 C) = 6.24 x 10^8.
3. Rounding gives about 6 x 10^8 electrons.
4. Option A is off by ten orders of magnitude from a slipped exponent, option B drops a factor from the exponent, and option C wrongly leaves the answer as a tiny fraction instead of a whole count.
_Source: OpenStax Physics (CC BY 4.0), Ch 18 "Static Electricity", section Transfer and Separation of Charge_
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