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If 109 electrons move out of a body to another body every second, how much time it requires to get a 1-coulomb charge on the other body?

[Given that ; 1yr ≈ 3 x 107 sec]


1. About 2000 years
2. About 200 years
3. About 20 years
4. About 02 years

1 Answer

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Correct Answer - Option 2 : About 200 years

Concept:

Electric charge: It is the transfer of electrons from one material to another. So negative charge means that there is an excess of electrons while a positive charge is a deficiency of electrons.

The quantization of charge means that the charge on an object is an integral multiple of the basic unit of charge( charge on one electron). It is given by

Q = n e

Where n = Some integer, e = Charge on an electron = 1.6 × 10-19C

Calculation:

Given:

N = 109 /s, Q = 1 C, 1yr ≈ 3 x 107 s

n = x × 109 

Here x is the time in seconds

Using Q = n e

1 = x × 109 ×  1.6 × 10-19 

x = 0.625 × 1010 s

For time in years, we have to divide by 1yr ≈ 3 x 107 sec

x = \(\frac {0.625\ \times \ 10^{10}}{3\ \times \ 10^7}\)

x = 208.33 years

Closest answer is 200 years

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