Question

Ratio of radius and velocity of electron in nth state of hydrogen atom is directly prportional to

Answer 1

Answer: (n) ^3 : (z) ^2 ---> for any atom

And for hydrogen atom, z=1 , so,

The ratio is directly propotional to "(n) ^3"!!!

Explanation:

The radius of an atom at its nth orbit is directly proportional (n) ^2/(z)

While the velocity at the nth orbit is directly proportional to (z) /(n)!

So while taking their ratios we get (n) ^3/(z) ^2 !!

Here - n is the orbit number where the electron is situated, and, z is the atomic number of the atom!