The number of correct statements from the fol | vedclass

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Question

(A) Let us evaluate each statement:$A.$ Correct. For $1s$ orbital,the probability density $\psi^2$ is maximum at the nucleus $(r=0)$.$B.$ Incorrect. F

Vedclass · Accepted Answer

$3$

Vedclass · Answer

(A) Let us evaluate each statement:$A.$ Correct. For $1s$ orbital,the probability density $\psi^2$ is maximum at the nucleus $(r=0)$.$B.$ Incorrect. For $2s$ orbital,the probability density $\psi^2$ is maximum at the nucleus,decreases to zero at the radial node,and then increases to a smaller maximum before decreasing again.$C.$ Incorrect. Boundary surface diagrams enclose a region of $90\%$ probability of finding the electron,not $100\%$.$D.$ Correct. The number of angular nodes is given by the azimuthal quantum number $l$. For $p$-orbitals $(l=1)$,there is $1$ angular node. For $d$-orbitals $(l=2)$,there are $2$ angular nodes.$E.$ Correct. $p$-orbitals have a nodal plane passing through the nucleus,so the probability density is zero at the nucleus.Thus,statements $A, D,$ and $E$ are correct. The total number of correct statements is $3$.

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