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The number of electrons present on a charged body are 6.25 × 109. Find the magnitude of charge on the body. (charge on an electron is -1.6 × 10-19 C).
1. 1 μC
2. 1 nC
3. 1 mC
4. 1C

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Correct Answer - Option 2 : 1 nC

CONCEPT:

  • Electric charge: A physical property of matter due to which the body experiences a force when it is placed in the electric field is known as an Electric charge.
  • There are two types of electric charge
  1. positive
  2. negative
  • When an electron is given to a body or one electron is taken out of the body it has 1 electron charge.

When n electron is given or taken out of a body, the charge it has given by the formula:

q = n × e

where q is the charge on a body, n is no. of electron and e is the charge on one electron. 

and e = -1.6 × 10-19 C (charge on one electron)

Formula q = ne (represents quantization of charge)

  • It tells us that charge is quantized ( in the form of electrons)
  • Every charge has to be an integral multiple of ‘e’.

​CALCULATION:

given that charge on the body n = 6.25 × 109

e = 1.6 × 10-19 C

⇒ q = n × e = 6.25 × 109 × (1.6 × 10-19) = = 10-9 C

q = 1 nC 

  • So the correct answer will option 2.

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