Atomic Structure Result Question 13-1

13. $P$ is the probability of finding the $1 s$ electron of hydrogen atom in a spherical shell of infinitesimal thickness, $d r$, at a distance $r$ from the nucleus. The volume of this shell is $4\pi r^2 d r$. The qualitative sketch of the dependence of $P$ on $r$ is

( 2016 Adv.)

alt text

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Answer:

Correct Answer: 13. ( c )

Solution:

  1. This graph shows the probability of finding the electron within shell at various distances from the nucleus (radial probability). The curve shows the maximum, which means that the radial probability is greatest for a given distance from the nucleus. This distance is equal to Bohr’s radius= $a _0$

alt text

(a) It is for $2 s$-orbital.

(b) It is radial wave function for $1 s$.

(c) Correct

(d) Probability cannot be zero at a certain distance from nucleus.



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