Question

What is the charge developed, if a body gains $50\times {10}^{18}$electrons by rubbing it with another body ?

• A. $2C$
• B. $16C$
• C. $8C$
• D. $-8C$

Answer 1

The correct option is D

$-8C$

Step 1: Analyse the given solution -

We know that the elementary charge is the smallest charge.

So, the total electric charge has to be an integer multiple of the elementary charge $e$ i.e., $Q=ne$

$e$ is the charge on a single electron which is $-1.6\times {10}^{-19}C$

Step 2: Calculate the total charge

The body gains $50\times {10}^{18}$electrons by rubbing it with another body, so we are given $n=50\times {10}^{18}$

So, $Q=ne=-1.6\times {10}^{-19}\times 50\times {10}^{18}=-8\hspace{0.17em}C$

So, the correct option is (D) $-8C$