A) \[4\,\pi \,r\,dr\,{{\psi }^{2}}\]
B) \[4\,\pi \,{{r}^{2}}\,dr\,\psi \]
C) \[4\,\pi \,{{r}^{2}}\,dr\,{{\psi }^{2}}\]
D) \[4\,\pi \,r\,dr\,\psi \]
Correct Answer: C
Solution :
The radial probability distribution of electron may be obtained by plotting the function \[\text{4}{{\text{ }\!\!\pi\!\!\text{ }}^{\text{2}}}{{\text{r}}^{\text{2}}}\text{R}_{\text{n,l}}^{\text{2}}\]against r, its distance from the nucleus. Such graphs are known as radial probability distribution curves. Similar curves are obtained if the complete wave function \[\psi \]is taken in the expression \[4{{\pi }^{2}}{{R}^{2}}.dr.\]when the latter becomes \[4{{\pi }^{2}}{{r}^{2}}{{\psi }^{2}}dr.\] So, the probability function\[\sigma =4\pi {{r}^{2}}dr{{\psi }^{2}}\]
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