Question

How many electrons are there in one coulomb of electricity?
(A)-$6.023\times {{10}^{23}}$
(B)- $1.64\times {{10}^{24}}$
(C)- $6.24\times {{10}^{18}}$
(D)- $6.24\times {{10}^{24}}$

Answer 1

Hint:. To answer this question we should know that a single electron has a charge of
$1.6\times {{10}^{-19}}$ Coulombs. Coulomb (symbolized as C) is the standard unit of electric charge in the International System of Units (SI).

Complete step by step answer:
-Quantization of charge implies that assuming that charge can only have discrete values, that is the observed value of electric charge (represented q) of a particle will be integral multiples of the charge of the electron (that is e). This can be written in the form,
$q=ne$, where n = 0, 1, 2, 3, 4, ……(both positive and negative integers)
Therefore, we can say that the charge cannot assume any value other than integers.
-According to question, we are given the value of charge (q) = 1 Coulomb
And the charge of the electron (e) $1.6\times {{10}^{-19}}$
-Finding the number of electrons (n) present in 1 Coulomb of electricity using the quantization of energy,
$\begin{align}
 & q=ne \\
 & 1=n\times 1.6\times {{10}^{-19}} \\
 & \Rightarrow n=\dfrac{1}{1.6\times {{10}^{-19}}}=6.24\times {{10}^{18}}{{e}^{-}} \\
\end{align}$
So, the correct answer is “Option C”.

Note: We should note that electrons are the lightest stable subatomic particle known. It carries a negative charge of $1.6\times {{10}^{-19}}$ coulomb, which is considered the basic unit of electric charge. The rest mass of the electron is $9.10\times {{10}^{-31}}kg$ which is $\dfrac{1}{1836}\text{mass of a proton}\text{.}$ An electron is therefore considered nearly massless in comparison with a proton or a neutron, and the electron mass is not included in calculating the mass number of an atom. We should know that under ordinary conditions electrons are bound to the positively charged nuclei of atoms by the attraction between opposite electric charges. We know that in a neutral atom the number of electrons is identical to the number of positive charges on the nucleus. Any atom, however, that has more or fewer electrons than positive charges and thus be negatively or positively charged, these charged atoms are known as ions.