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

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.