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Calculate the number of electrons consit...

Calculate the number of electrons consituting one coulomb of charge.

A

`6.25 xx 10^(17)`

B

`6.25 xx 10^(18)`

C

`6.25 xx 10^(19)`

D

`6.25 xx 10^(20)`

Text Solution

Verified by Experts

The correct Answer is:
B
We know that the chare of an electron is `1.6 xx 10^(-19)` coulomb (or `1.6 xx 10^(-19)C)`. Now, if charge is `1.6 xx 10^(-19)C`, No. of electrons = 1
So, If charge is 1C, then No. of electrons `= (1)/(1.6 xx 10^(-19)) xx 1`
`= (10^(19))/(1.6)`
`= (10)/(16) xx 10^(18)`
`= 6.25 xx 10^(18)`
Thus, `6.25 xx 10^(18)` electrons taken together constitute 1 coulomb of charge.
The above example tells us that the SI unit of electric charge 'coulomb' (C) is equivalent to the charge contained in `6.25 xx 10^(18)` electrons. Thus, coulomb is a very big unit of electric charge.
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