The radial distribution function [P(r)] is used to determine the most probable radius, which is used tofind the electron in a given orgital (dP(r))/(dr) for 1s-orbital of hydrogen like atom having atomic number Z, is (dP)/(dr) = (4Z^3)/(a_0^3) (2r-(2Zr^2))/(a_0) e^(-27 x//a_0) : Then which is the following statements is/are correct ?

The radial distribution function [P(r)] is used to determine the most

1.	The radial distribution function [P(r)] is used to determine the most probable radius, which is used tofind the electron in a given orgital (dP(r))/(dr) for 1s-orbital of hydrogen like atom having atomic number Z, is (dP)/(dr) = (4Z^3)/(a_0^3) (2r-(2Zr^2))/(a_0) e^(-27 x//a_0) : Then which is the following statements is/are correct ?
Answer» At the point of maximum value of radial distribution function `(dP(r))/(dr)=0`, one anti-node is PRESENT Most probable RADIUS of `Li^(2+)` is `(a_0)/(3) ` pm Most probable radius of `He^+` is `(a_0)/(2)` Most probable radius of hydrogen atom is (a_0) SOLUTION :(a,b,c,d) At the point of maximum value of RDF `(dP)/(dr) = 0 ` `(2r - (2Zr^2)/(a_0))= 0,r =(a_0)/(Z)` Where Z = 3 for `Li^(2+)` and Z= 2FOR the `He^+` , Z=1 for hydrogen.