The number of electrons presents in 1 coulomb of charge is:

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SSC JE EE Previous Paper 10 (Held on: 10 Dec 2020)
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  1. 825 × 1016
  2. 625 × 1016
  3. 625 × 10-16
  4. 6.25 × 1016

Answer (Detailed Solution Below)

Option 2 : 625 × 1016
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Detailed Solution

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Concept:

Electric Current (I):

  • It is defined as the net amount of electric charge that flows through a cross-section of a conductor in an electric circuit in a per unit time.
  • S.I unit of electric current is Ampere(A).

 

1 Coulomb (C):

  • One Coulomb of charge is equal to the charge transported by an electric current of constant magnitude in one second of time.
  • It is defined as the product of a 6.24 × 1018 ​charge of an electron.
  • It is the S.I unit of electric charge.

Charge of one electron = 1.6 × 10-19 Coulomb.

Explanation:

We know that e = 1.6 × 10-19 C, i.e charge on the electron.

The total charge required is 1 Coulomb, q = 1C

Therefore we also know that q = n × e, (n = number of electrons on the charge)

Hence, n = q/e....(1)

Substituting all the values in the equation (1)

n = 1/1.6 × 10-19 ​= 625 × 1016

So, if 1A current flows through the conductor then 625 × 1016 electrons flow per second across the cross-section of the conductor.

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