Question

What is the amount of charge possessed by \[1\] kg of electrons?
1.\[1.76 \times {10^{11}}C\]
2.\[1.76 \times {10^{ - 9}}C\]
3.\[1.76 \times {10^{ - 7}}C\]
4.\[1.76 \times {10^{ - 5}}C\]

Answer 1

Hint: The atoms are tiny particles consisting of sub-atomic particles like electrons, protons and neutrons. Electrons are a subatomic particle consisting of negative charge, and have very low mass compared to the mass of neutrons and protons. The amount of charge possessed by \[1\] kg of electrons can be calculated from the mass and charge of one electron.

Complete answer:
Electron is a subatomic particle consisting of negative charge, the charge of the electron will be equal to\[ - 1.6 \times {10^{^{ - 19}}}C\], the mass of one electron is equal to \[9.1 \times {10^{ - 31}}kg\].
Thus, the mass of one electron i.e.., \[9.1 \times {10^{ - 31}}kg\]contains the charge of \[ - 1.6 \times {10^{^{ - 19}}}C\].
But we have to find the amount of charge possessed by \[1\] kg of electrons will be determined by dividing the charge on an electron by the mass of one electron.
The amount of charge possessed by \[1\] kg of electrons =\[\dfrac{{ - 1.6 \times {{10}^{^{ - 19}}}C}}{{9.1 \times {{10}^{ - 31}}}} = - 1.76 \times {10^{^{11}}}C\]
The charge on an electron will always be negative as it is a negatively charged subatomic particle. The amount of charge will be the number. So, the amount of charge possessed by \[1\] kg of electrons will be \[1.76 \times {10^{^{11}}}C\].
In the given options the answer matches with the option \[1\].

So, the correct answer is “Option 1”.

Note:
The mass of an electron is very lighter compared to the mass of the proton and neutron, the mass of the proton is \[1,836\] times more than the mass of an electron. Thus, the weight of electrons is very small. J.J. Thomson discovered the electron and named it from a cathode ray experiment.