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Which of the following cannot be the magnitude of the charge on a body:
1. 3.2 × 10-19 C
2. 4.8 × 10-19 C
3. 6.4 × 10-19 C
4. 6 × 10-19 C

1 Answer

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Best answer
Correct Answer - Option 4 : 6 × 10-19 C

CONCEPT:

Electric Charge

  • It is defined as the intrinsic property of certain fundamental particles like electrons, proton, etc, due to which they produce electric and magnetic effects.
  • Types of electric charge
    1. ​Positive charge: A body having a deficiency of electrons.
    2. ​Negative charge: A body having an excess of electrons.
  • Properties of electric charge
    • Like charges repel and unlike charges attract each other.
    • A charge is a scalar quantity.
    • If a system contains a number of point charges, then the total charge of the system is obtained simply by adding all the charges algebraically.
    • A charge is always quantized.
    • A charge will always remain conserved.
    • A charge is always associated with mass.
    • The unit of charge is the coulomb.


⇒ 1 coulomb= charge on 625 × 1016 electrons

EXPLANATION:

Quantisation of charge:

  • Experimentally it is established that all free charges are integral multiples of a basic unit of charge denoted by e.
  • This basic unit of charge is the charge that an electron or proton carries.
  • Thus charge q on a body is always given by:


⇒ q = ne

Where n = integer and e = 1.6 × 10-19 C

When n = 2

⇒ q = 3.2 × 10-19 C

When n = 3

⇒ q = 4.8 × 10-19 C

When n = 4

⇒ q = 6.4 × 10-19 C

  • We can not generate 6 × 10-19 C by any value of n.
  • So 6 × 10-19 C cannot be the magnitude of the charge on a body. Hence, option 4 is correct.

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