The 1s radial distribution determines the most probable radius. For a hydrogen-like atom of atomic number Z , d r d P = a 0 3 4 Z 3 ( 2 r − a 0 2 Z r 2 ) e − 2 Z r / a 0 . Which statements

Question

The 1s radial distribution determines the most probable radius. For a hydrogen-like atom of atomic number Z , d r d P ​ = a 0 3 ​ 4 Z 3 ​ ( 2 r − a 0 ​ 2 Z r 2 ​ ) e − 2 Z r / a 0 ​ . Which statements are correct?

TestHub · Accepted Answer

The nonzero maximum follows from 2r-2Zr²/a₀=0, giving r=a₀/Z. A 1s radial distribution has one maximum and no radial nodes. Substitution gives a₀/3 for Li²⁺, a₀/2 for He⁺ and a₀ for H. Therefore A,B,C,D. The printed 'a₀ pm' is understood as the numerical Bohr radius in pm.

Chemistry - Atomic Structure Question with Solution | TestHub

Options:(select one or more)

Doubts & Discussion