09. A negatively charged oil drop is prevented from failing under gravity by
applying a vertical electric field 100 V m-1. If the mass of the drop is 1.6 x 10
g, the number of electrons carried by the drop is (g = 10 ms)
a) 10^18
b) 10^6
c) 10^9
d) 10^12
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Answer:
10^(19) electrons (if mass of drop given is correct)
Explanation:
Weight of the drop = mg
Electric force = Eq
Both the forces are acting in equal & opposite directions to prevent falling of drop
Therefore,
mg = Eq
q = mg / E
= (1.6 × 10 g × 10 m/s²) / (100 V/m)
= 1.6 C
Number of electrons = q/e
= (1.6 C) / (1.6 × 10^(-19))
= 10^(19)
P.S: Please check the mass of drop which you've provided, there must be a typo in it.
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