Test Index

Structure of Atom

Section: Chemistry

© examsnet.com

Question : 13 of 24

Marks: +1, -0

P is the probability of finding the 1s electron of hydrogen atom in a spherical shell of infinitesimal thickness, dr, at a distance r from the nucleus. The volume of this shell is

4\pi r^2

dr. The qualitative sketch of the dependence of P on r is -

[JEE Adv 2016 P1]

Solution:

For 1s, radial part of wave function is

\Psi_{(r)} = 2\left(\frac{1}{a_0}\right)^{3/2} e^{-\frac{r}{a_0}}

probability of finding an

e^{-}

in a spherical shell of thickness, 'dr' at distance 'r' from nucleus

p = \Psi_{(r)}^2 \cdot 4\pi r^2

dr

16\pi r^2 \left(\frac{1}{a_0}\right)^3 e^{-\frac{2r}{a_0}}

dr

So P is zero at

r = 0

and

r = \infty

.

© examsnet.com

Go to Question:

Prev Question

Next Question