OPERATOR FORM SCHRODINGER WAVE EQUATION,PLOT OF RADIAL WAVE FUNCTION 'R',PLOT OF RADIAL PROBABILITY DENSITY 'R^2

Schrodinger Wave Equation|Graph Of Radial Function [R (r) Or φ (r) ] VS r (Distance From Nucleus )|Radial Probability Density Function [ R2 (r) Or φ2 (r) ]|Questions|Summary

Wave Mechanics Model OF Atom || Schrodinger's Wave Equation || Nodes (Radial, Angular) || Nodal Plane

Quantum Mechanical Model and Schrodinger Wave Equation||Wave Function for Atomic Orbitals and their Graphs||Radial Probability Distribution Function and Graph

Concept of Wave function | Plots of Wave Function

Concept of Wave function | Plots of Wave Function

Concept of Wave function | Plots of Wave Function

Concept of Wave function | Plots of Wave Function

[" Which of the following "],[" statements is correct about "],[" angular nodes? "],[" (A) Angular nodes are directional "],[" in nature."],[" (B) Angular nodes are dependent "],[" on angle "(phi theta)],[" (C) Angular nodes are "],[" independent from the radial "],[" wave function "(R).],[" (D) These nodes are dependent "],[" on the radial wave function."]

The Schrodinger wave equation for H-atom is nabla^(2) Psi = (8pi^(2)m)/(h^(2)) (E-V) Psi = 0 Where nabla^(2) = (del^(2))/(delx^(2)) +(del^(2))/(dely^(2)) +(del^(2))/(delz^(2)) E = Total energy and V=potential energy wave function Psi_(((r, theta,phi)))R_((r))Theta_((theta))Phi_((phi)) R is radial wave function which is function of ''r'' only, where r is the distance from nucleus. Theta and Phi are angular wave function. R^(2) is known as radial probability density and 4pir^(2)R^(2)dr is known as radial probability function i.e., the probability of finding the electron is spherical shell of thickness dr. Number of radial node =n -l - 1 Number of angular node = l For hydrogen atom, wave function for 1s and 2s-orbitals are: Psi_(1s) = sqrt((1)/(pia_(0)^(a)))e^(-z_(r)//a_(0)) Psi_(2s) = ((Z)/(2a_(0)))^(½) (1-(Zr)/(a_(0)))e^(-(Zr)/(a_(0))) The plot of radial probability function 4pir^(2)R^(2) aganist r will be: Answer the following questions: The following graph is plotted for ns-orbitals The value of 'n' will be:

Radial probability density function || Illustration OF Radial probability density function