# If kinetic energy of electron is double then its radius becomes?

##### 1 Answer

Aug 11, 2018

#### Explanation:

For,an electron moving round the nucleus in its orbit,its angular momentum is conserved.

That is,

Now,mass of electron being constant we can say,

Now,kinetic energy of an electron can be written as

So,

so,if kinetic energy is doubled,its velocity will become

So,its radius being inversely proportional to its velocity in an orbit,it will be