Question

C Determine the coulomb's force between the electron and the nucleus in

a hydrogen atom. The mean distance of electron from the nucleus of the atom
is 1x10-10m?
[Ans. 2.3x10-8N​

Answer 1

F = 2.3 x 10⁻⁸ N

Step-by-step explanation:

Given,

The mean distance between the electron and the nucleus, x = 1 x 10⁻¹⁰ m

The number of protons present in the nucleus of the hydrogen atom is 1.

The charge of the proton and electron, q = 1.602 x 10⁻¹⁹ C

Since they have opposite charges, the force between them is attractive,

The coulomb law of force between two charges is given by the formula,

`F=(1)/(4\pi\epsilon_(0))(qq)/(x^(2))`

`(1)/(4\pi\epsilon_(0))` = 9 x 10⁹ Nm²C⁻²

Substituting the values in the above equation

F = 9 x 10⁹ X (1.602 x 10⁻¹⁹)² / (1 x 10⁻¹⁰)²

= 2.31 x 10⁻⁸ N

Hence, the force between the nucleus and electron of hydrogen atom is, F = 2.3 x 10⁻⁸ N