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Which of the following charge cannot exist in nature?
1. 3.2 × 10-19C
2. 6.4 × 10-19C
3. 5.4 × 10-19C
4. 4.8 × 10-19C

1 Answer

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Correct Answer - Option 3 : 5.4 × 10-19C

CONCEPT:

Electric charge:

  • It is an intrinsic property of the elementary particles of matter which gives rise to electric force between various objects.
    • It is a scalar quantity.
    • SI unit of electric charge is coulomb (C).

Quantisation of charge:

  • The experimental fact that electric charges occur in discrete amounts instead of continuous amounts is called quantization of charge.
  • All free charges are integral multiples of a basic unit of charge denoted by 'e'.
  • Thus, the possible charge on a body is given by 

⇒ q = ne

Where n is an integer e = 1.6 × 10-19C

CALCULATION:

\(n=\frac{q}{e}\)

Option 1:

q = 3.2 × 10-19 C
\(n=\frac{3.2\times 10^{-19}}{1.6\times 10^{-19}}=2\)n is an integer

Option 2:

q = 6.4 × 10-19C

\(n=\frac{6.4\times 10^{-19}}{1.6\times 10^{-19}}=4\) , n is an integer

Option 3:

q = 5.4 × 10-19C

\(n=\frac{5.4\times 10^{-19}}{1.6\times 10^{-19}}=3.375\) , n is not an integer

Option 4:

q = 4.8 × 10-19C
\(n=\frac{4.8\times 10^{-19}}{1.6\times 10^{-19}}=3\), n is an integer

  • Therefore, the charge is not quantized, which means 5.4 × 10-19C cannot exist in nature.
  • Hence option 3 is correct                                                 

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