The area of an orbit is proportional to the square of its radius.
For hydrogen atoms, the radius of the first excited state is four times the radius of the ground state.
Since the area is proportional to \( r^2 \), the ratio of the areas is:\(\ \left(\frac{4r}{r}\right)^2 = 16:1\)
A hydrogen atom consists of an electron revolving in a circular orbit of radius r with certain velocity v around a proton located at the nucleus of the atom. The electrostatic force of attraction between the revolving electron and the proton provides the requisite centripetal force to keep it in the orbit. According to Bohr’s model, an electron can revolve only in certain stable orbits. The angular momentum of the electron in these orbits is some integral multiple of \(\frac{h}{2π}\), where h is the Planck’s constant.
Ion | Q4+ | Xb+ | Yc+ | Zd+ |
---|---|---|---|---|
Radius (pm) | 53 | 66 | 40 | 100 |
Q4+, Xb+, Yc+, Zd+ are respectively