Question

One coulomb charge is equivalent to the charge contained in:
A) \[26 \times {10^{19}}\,\,electrons\]
B) \[2.65 \times {10^{18}}\,\,electrons\]
C) \[6.2 \times {10^{19\,}}electrons\]
D) \[6.25 \times {10^{18}}\,elctrons\]

Answer 1

Hint: As we know \[Q\] coulomb (\[C\]) charge contains\[n\]times the charge of electron, electrons, and can be expressed as \[Q = ne\], where \[e\]is the charge of electron and\[n\]is the number of electron. Here, we have to find the number of electron contained in \[1\,C\]

Complete step by step answer:
As we know \[Q\] coulomb (\[C\]) charge contains n times the charge of electron, electrons, and can be expressed as \[Q = ne\], where \[e\]is the charge of electron (\[i.e.\] \[1.6 \times {10^{ - 19}}C\])
Now, according we have to find the number of electrons in 1 coulomb charge
\[ \Rightarrow \]\[Q = ne\]
On putting the values of \[Q\]and \[e\]we get,
\[ \Rightarrow \]\[1 = n \times 1.6 \times {10^{ - 19}}\]
\[ \Rightarrow \]\[n = 6.25 \times {10^{18}}\]

Hence, the number of electrons contained in \[1\,C\]charge is \[6.25 \times {10^{18}}\] that is option (D)

Additional information:
A coulomb is an enormous charge – two \[1\,C\]charges that are \[1\,\,m\] apart exert a force of \[9 \times {10^9}Newton(N)\]. That's over two million tonnes, 720 times as much as the thrust of a space shuttle solid rocket booster during lift-off.

Note: As we can see here that this is a complete formula based question. For solving this type of questions we should memorize the basic concepts and their important formulas. Here we had to find the number of electrons which we have find with the formula