Question

If ${10}^{10}$ electrons are acquired by a body every second, the time required for the body to get a total charge of $1C$ will be :

• A. $20$ hours
• B. $20$ days
• C. $2$ years
• D. $20$ years

Answer 1

The correct option is D $20$ years

One electron has a charge of $1.6\times {10}^{-19}C$

So, ${10}^{10}$ would have a charge of $q=ne$

Thus in $1$ second, charge accumulated $=1.6\times {10}^{-9}C$

So, time taken to accumulate $1C=\frac{1}{1.6\times {10}^{-9}}=0.625\times {10}^9$

$=6.25\times {10}^{8}s=1736111h=20years$