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# The number of electrons present in $1C$ of charge is ______.A) $4.25 \times {10^{18}}$B) $6.25 \times {10^{18}}$C) $3.25 \times {10^{18}}$D) $2.25 \times {10^{18}}$

Last updated date: 20th Jun 2024
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Hint: We are given with a charge of $1C$ . To find the number of electrons present, we will use the expression of quantization of charge which will give a relation between charge on an electron, number of electrons. Using the given information, we will calculate the number of electrons.

Complete step by step solution:
The charge is given in Coulomb and we know the expression of quantization of charge is given by,
$Q = ne$
Here, Q is the charge on the object
n is the number of electrons present.
And e is the charge on an electron.
The charge is quantized therefore, n will be an integer.
Using the above equation, we have
$n = \dfrac{Q}{e}$
Substituting the value of charge on an electron $e = 1.6 \times {10^{ - 19}}C$ and $Q = 1C$ in the above equation, we get
$n = \dfrac{1}{{1.6 \times {{10}^{ - 19}}}}$
$\Rightarrow n = 6.25 \times {10^{18}}$
Therefore, the number of electrons is $6.25 \times {10^{18}}$

Thus, option B is the correct option.