Question

A charge of 100 elementary charges is equivalent to (1) 1.60 times 10^-21 C (2) 1.60 times 10^-17 C (3) 6.25 times 10^16 C (4) 6.25 times 10^20 C

Answer 1

(2) 1.60 times 10^-17 C

Step-by-step explanation:

The value of one elementary charge is

`1 e = 1.60\cdot 10^(-19) C`

In this problem, we have 100 elementary charges: to find how many Coulombs it corresponds, we have to set up the following proportion

`1 e: 1.60\cdot 10^(-19)C= 100 e : x`

And solving for x, we find

`x=((1.6\cdot 10^(-19)C)(100 e))/(1 e)=1.6\cdot 10^(-17)C`

So, the correct answer is

(2) 1.60 times 10^-17 C