00:01
In this problem, we have been given that we have two protons and we are required to determine the separation between these two protons, provided that the electrostatic force, which is exerted on each one of them, it is equal to the weight of the electron.
00:18
So here we use this equation according to coulomb's law to get the electrostatic force between two point charges.
00:24
And this force which is k times q1 q2 by r square it is equal to the weight of electron so we use this equation to get the weight according to which the weight is mass times acceleration due to gravity so let's put the values into this equation so we get k that's ccolum's constant which is 9 into 10 raise to 9 and q1 and q2 these are the charges carried by proton which is 1 .6 times 10 raised to minus 19.
00:55
So we just take it square because both the charges are same as we have same particles separated by distance r.
01:02
So this divided by r square, it is equal to weight of electron.
01:06
So the weight of electron is the mass of electron, which is 9 .1 times 10 raised to minus 31 kg, and this multiplied with the acceleration due to gravity, which is 9 .81 meter per second square...