Home
Class 11
CHEMISTRY
The radial distribution function [P(r)] ...

The radial distribution function [P(r)] is use to determine the most probable radius, which is used to find the electron in a given orbital `(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^(-2Ze//a_(0))`. Then which of the following statements is/are correct

A

At the point of maximum value of radial distribution function `(dP(r))/(dr) = 0`, one antinode is present

B

Most probable radius of `Li^(2+)` is `(a_(0))/(3)` pm

C

Most probable radius of `He^(+)` is `(a_(0))/(2)` pm

D

Most probable radius of hydrogen atom is `a_(0)` pm

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
Promotional Banner

Topper's Solved these Questions

  • ATOMIC STRUCTURE

    AAKASH SERIES|Exercise Level - II (Type-I) (Practice sheet - 6 (Section - B : Linked comprehension Type questions))|5 Videos
  • ATOMIC STRUCTURE

    AAKASH SERIES|Exercise Level - II (Type-I) (Practice sheet - 6 (Section -C : Matching/Straight objective type questions))|2 Videos
  • ATOMIC STRUCTURE

    AAKASH SERIES|Exercise Level - II (Type-I) (Lecture Sheet- 6 (Section -C : Matching/Straight objective type questions))|2 Videos
  • AROMATIC HYDROCARBONS

    AAKASH SERIES|Exercise OBJECTIVE EXERCIES - 3 (RECENT AIPMT/NEET QUESTIONS)|10 Videos
  • CHEMICAL BONDING

    AAKASH SERIES|Exercise OBJECTIVE EXERCISE -3 (RECENT AIPMT/NEET QUESTIONS )|39 Videos

Similar Questions

Explore conceptually related problems

The schrodinger wave equation for hydrogen atom is Psi_2 = (1)/(4sqrt(2pi))((1)/(a_0))^(3//2) (2-(r)/(a_0))e^(-r//a_0) where a_0 is Bohr.s radius. If the radial node in 2s be at r_0 would be equal to

(A) : The radial probability distribution curves of 1s, 2p, 3d orbitals are identical in shape (R) : The number of nodal planes present in these orbitals is different

From quantization of angular momentum, one gets for hydrogen atom. the radius of the n^(th) orbit as r_(n) = (n^(2))/(m_(e)) ((h)/(2 pi))^(2) ((4 pi^(2) epsilon_(0))/(e^(2)) ) for a hydrogen like atom of atomic number 'Z'.

The electronic configuration of an atom is as follows 1s^2,2s^2,2p^2 . Which orbital is the last electron in ?

The radial probability distribution curve obtained for an orbital wave function has 3 peaks and 2 radial nodes. The valence electron of which one of the following metals does this wave function correspond to ?

(a) Using the Bohr’s model calculate the speed of the electron in a hydrogen atom in the n = 1, 2, and 3 levels. (b) Calculate the orbital period in each of these levels.

If the d.c's of the two lines are (2)/(3),(2)/(3),(1)/(3),(5)/(13),(12)/(13),0 then the d.r.s of the line bisecting the angle between the lines are