The radius of the second Bohr orbit of Li+2 ion, in terms of the Bohr radius (a0) of hydrogen atom is
Question
The radius of the second Bohr orbit of Li<sup>+2</sup> ion, in terms of the Bohr radius (a<sub>0</sub>) of hydrogen atom is
Solution
The Bohr model of an atom states that the radius of an electron's orbit around the nucleus of an atom is directly proportional to the square of the electron's energy level (n^2) and inversely proportional to the atomic number (Z).
The Li+2 ion has an atomic number of 3 (Z=3) and we are looking for the radius of the second Bohr orbit, so the energy level is 2 (n=2).
The formula for the radius of a Bohr orbit is:
r = n^2/Z * a0
Substituting the given values:
r = (2^2/3) * a0 = 4/3 * a0
So, the radius of the second Bohr orbit of Li+2 ion, in terms of the Bohr radius (a0) of hydrogen atom is 4/3 a0.
Similar Questions
The radius of the 2nd orbit of Li2+ is x. The expected radius of the 3rd orbit of Be3+ is94x49x2716x1627x
The radius of the innermost electron orbit of a hydrogen atom is5.3×10–11 m. The radius of the n =3 orbit is
According to Bohr’s model, the radius of Ne9+ ion in ground state should be (in Å)
How many times does the electron go round the firstBohr orbit of hydrogen atoms in 1 s?
The radius of an orbit of hydrogen atom is 0.85 nm, then calculate thevelocity of electron in this orbit ?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.