If 109 electrons move out of a body to another body every second, then the time required to get a total charge of 1 C on the other body is

Question

If 109 electrons move out of a body to another body every second, then the time required to get a total charge of 1 C on the other body is (A) 250 years (B) 100 years (C) 198 years (D) 150 years

Tardigrade Admin · Accepted Answer

The charge given out in one second = 1.6 × 10-19 C × 109 = 1.6 × 10-10 C Time required to accumulate a charge of 1 C =(1/1.6×10-10)=6.25×109 s=198 years

Q. If $1 0^{9}$ electrons move out of a body to another body every second, then the time required to get a total charge of $1 C$ on the other body is

250 years

100 years

198 years

150 years

The charge given out in one second
$= 1.6 \times 1 0^{- 19} C \times 1 0^{9} = 1.6 \times 1 0^{- 10} C$
Time required to accumulate a charge of $1 C$
$= \frac{1}{1.6 \times 1 0 ^{- 10}} = 6.25 \times 1 0^{9} s = 198$ years

Q. If 109 electrons move out of a body to another body every second, then the time required to get a total charge of 1C on the other body is