The region where probability density function reduces to zero is called

Probability density is given by

Probability density is given by

When Schrodinger wave equation in polar coordinates is solved the solution for Phi is of the form Psi (r, theta , phi)= R(r) , Y(theta , phi) . Here R(r) is radial part of wave function and Y(theta, phi) is angular part of the wave function. The region or space where probability of finding electron is zero is called nodal surface. If the probability of finding electron is zero then Psi^2 (r, theta, phi)=0 implies Psi (r, theta, phi)=0 If the radial wave function is equal to zero we get radial node and if angular part is equal to zero we get angular nodes. Total no. of nodes for any orbital = n - 1. Where ‘n’ is principal quantum number. Number of radial nodes for 4f orbital

Write the probability density function of the normal variable.

Statement-1: For a 2p-orbtial the probaility density function is zero on the plane where the two lobes touch each other. Statement-2: Such a plane is called nodal plane.

If the probability density function of a random variable X is given as then F(0) is equal to