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 =$${\displaystyle \frac{-1.6\times {10}^{{}^{-19}}C}{9.1\times {10}^{-31}}}=-1.76\times {10}^{{}^{11}}C$$
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.