Question

what is the ratio of radii of orbits corresponding to first excited state and ground state of the hydrogen atoms​

Answer 1

The the ratio of radii of orbits corresponding to the first excited state and ground state in a hydrogen atom  is 4 : 1.

Explanation:

To find, the the ratio of radii of orbits corresponding to the first excited state and ground state in a hydrogen atom  = ?

We know that,

The radius of the nth orbit   ∝

For ground state n = 1,

The radius of the ground state,

For first excited state n = 2,

The radius of the ground state,

∴ The the ratio of radii of orbits corresponding to the first excited state and ground state in a hydrogen atom  

Hence, the the ratio of radii of orbits corresponding to the first excited state and ground state in a hydrogen atom  is 4 : 1.