Courses for Kids
Free study material
Offline Centres
Store Icon

Calculate the charge on a body if two billion electrons are added to it.

Last updated date: 14th Jul 2024
Total views: 345.6k
Views today: 4.45k
345.6k+ views
Hint: The electron is the world's lightest and most stable subatomic particle. It has a negative charge of \[1.602176634\] coulomb, which is the fundamental unit of electric charge. The electron has a rest mass of \[9.1093837015 \times {10^{ - 31}}{\text{ }}kg\], which is just \[1/1,836\] that of a proton. In contrast to a proton or a neutron, an electron is virtually massless, and its mass is not taken into account when measuring an atom's mass number.

Complete step-by-step solution:
Electrons are subatomic particles that have an elementary charge of \[ - 1\] . The charge that an electron carries is the same as the charge that a proton carries (but has an opposite sign). Electrically neutral atoms/molecules will have the same number of protons and electrons as a result of this.
The charge borne by a single electron, known as the elementary charge, has a value of approximately \[ - 1.6 \times {10^{ - 19}}\] coulombs.
Therefore, the charge of 2 billion electrons is:
\[Q = 2 \times {10^9} \times ( - 1.6) \times {10^{ - 19}}\]
\[Q = - 3.2 \times {10^{ - 10}}C\]
So, it's right to assume that the body would have a charge of \[Qo - 3.2 \times {10^{ - 10}}\]coulombs after adding 2 billion electrons, where \[Qo\] is the charge before the electrons were applied.

 Note:Electrons are also needed for atoms to bond together. Matter would not be able to interact in the many reactions and ways we see every day if it didn't have this bonding force between atoms. The association between an atom's outer electron layers is known as atomic bonding. It can take one of two types.