Which of the following is the correct plot for the probability density 𝜓2(r) as a function of distance ‘r’ of the electron from the nucleus for 2s orbital?
Question
Which of the following is the correct plot for the probability density 𝜓2(r) as a function of distance ‘r’ of the electron from the nucleus for 2s orbital?
Solution
As a text-based AI, I'm unable to directly show plots or images. However, I can describe it to you.
The plot of the probability density 𝜓^2(r) as a function of distance 'r' from the nucleus for a 2s orbital would start at a positive value at r=0, then decrease to a point where it crosses the x-axis (this is the nodal point), then increase again to a maximum, and finally decrease asymptotically as 'r' goes to infinity.
This is because the 2s orbital has one radial node, which is a region where there is 0 probability of finding the electron. This is represented by the point where the plot crosses the x-axis. The probability density then increases again after the node, representing the region where the electron is most likely to be found.
Similar Questions
Draw radial probability distribution curve for the hydrogen atomic orbital with principalquantum number, n = 3 and azimuthal quantum number, l = 1. (4πr2ψ2 = radial probability densityfunction and r = radial distance from the nucleus)
Here is a sketch of a 2py orbital:This sketch is about 800pm wide.The coordinate (x, y, and z) axes are also shown.You can rotate the sketch for a better view of the orbital by dragging the slider with your mouse.Suppose an atom with its nucleus at the origin has an electron in a 2py orbital. Complete each row of the table below by deciding how PA, the probability of finding the electron at point A, compares to PB, the probability of finding the electron at point B.point A point B compare PA to PB100 pm below the nucleus along the -z axis. 100 pm to the right of the nucleus, along the +x axis. <PAPB=PAPB>PAPB100 pm in front of the nucleus, along the -y axis. 100 pm above the nucleus, along the +z axis. <PAPB=PAPB>PAPB100 pm behind the nucleus, along the +y axis. 100 pm to the left of the nucleus, along the -x axis. <PAPB=PAPB>PAPB
Here is a sketch of a 3d−x2y2 orbital:This sketch is about 1800pm wide.The coordinate (x, y, and z) axes are also shown.You can rotate the sketch for a better view of the orbital by dragging the slider with your mouse.Suppose an atom with its nucleus at the origin has an electron in a 3d−x2y2 orbital. Complete each row of the table below by deciding how PA, the probability of finding the electron at point A, compares to PB, the probability of finding the electron at point B.point A point B compare PA to PB200 pm above the nucleus, along the +z axis. 200 pm to the left of the nucleus, along the -x axis. <PAPB=PAPB>PAPB200 pm to the right of the nucleus, along the +x axis. 200 pm in front of the nucleus, along the -y axis. <PAPB=PAPB>PAPB200 pm behind the nucleus, along the +y axis. 200 pm below the nucleus along the -z axis. <PAPB=PAPB>PAPB
The radius of an orbit of hydrogen atom is 0.85 nm, then calculate thevelocity of electron in this orbit ?
The number of given orbitals which have electron density along the axis ispx,py,pz,dxy,dyz,dxz,d2z,dx2−y2
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.