an electron and a proton are initially very far apart. They are thenbrjought together to form a hydrogen atom, in which the electron orbits the proton at an average distance of 5.29x10^-11 m. What is the change in electric potential energy?

Respuesta :

Answer:

[tex]E=4.35\times 10^{-18}\ J[/tex]

Explanation:

Given that,

The distance between the electron and proton, [tex]r=5.29\times 10^{-11}\ m[/tex]

We need to find the change in electric potential energy. It can be calculated as follows :

[tex]E=\dfrac{kq_1q_2}{r^2}[/tex]

Where

k is the electrostatic constant

Change,

[tex]\Delta E=\dfrac{kq_1q_2}{r}-0[/tex]

Put all the values.

[tex]\Delta E=\dfrac{9\times 10^9\times (-1.6\times 10^{-19})^2}{5.29\times 10^{-11}}\\\\=-4.35\times 10^{-18}\ J[/tex]

So, the required change in electric potential energy is [tex]4.35\times 10^{-18}\ J[/tex].