Question

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

Answer 1

`1/sqrt(2)` times

Explanation:

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

That is, `mvr=C` (where, `m` is the mass,`v` is the velocity and `r` is the radius , `C` is a constant)

Now,mass of electron being constant we can say, `r prop 1/v`

Now,kinetic energy of an electron can be written as `K=1/2 mv^2`

So, `K prop v^2`

so,if kinetic energy is doubled,its velocity will become `sqrt(2)` times than the initial.

So,its radius being inversely proportional to its velocity in an orbit,it will be `1/sqrt(2)` times the initial value!