Question

Any circuit can have a charge of 8.4 x 10^-18 C.

• A. True
• B. False

Answer 1

The correct option is B False

Step1: Given data

Total charge on a body is $q=8.4\times {10}^{-18}C$

We know, Charge on an electron $e=1.6\times {10}^{-19}C$

Step2: Concept of electric charge and quantization of charge

1. Charge is the property of an object.
2. There are two types of charges - positive and negative
3. When a body has excess electrons, it is negatively charged and when a body has a deficit of electron, it is positively charged.
4. An atom is electrically neutral as it has the same number of positive (protons) and negative (electrons) charges.
5. Quantization of Charge: The total charge on a charged body must be an integral multiple of the basic charge on an electron.

$q=ne[q=charge,n=aninteger,e=chargeofelectrons]$

Step3: Analyzing for the given charge

$$\begin{gathered} n=\frac{q}{e} \\ n=\frac{8.4\times {10}^{-18}}{1.6\times {10}^{-19}} \\ n=5.25\times {10}^1=525 \end{gathered}$$

The value of $n$ is not an integer. Hence the value of the given charge is not possible.

Hence, a circuit cannot have a charge of $8.4\times {10}^{-18}C$. The given statement is false.