JEE MAIN - Chemistry (2023 - 11th April Evening Shift - No. 19)
The number of correct statements from the following is ___________.
A. For $$1 \mathrm{s}$$ orbital, the probability density is maximum at the nucleus
B. For $$2 \mathrm{s}$$ orbital, the probability density first increases to maximum and then decreases sharply to zero.
C. Boundary surface diagrams of the orbitals encloses a region of $$100 \%$$ probability of finding the electron.
D. p and d-orbitals have 1 and 2 angular nodes respectively.
E. probability density of p-orbital is zero at the nucleus
Explanation
Let's look at each statement individually:
A. For 1s orbital, the probability density is maximum at the nucleus.
This statement is correct. For a 1s orbital, the electron is most likely to be found closest to the nucleus.
_11th_April_Evening_Shift_en_19_1.png)
B. For 2s orbital, the probability density first increases to maximum and then decreases sharply to zero.
This statement is incorrect. For a 2s orbital, the probability density is maximum at the nucleus, then decreases to zero (this is the radial node), and then rises again to a secondary peak before gradually tapering off.
_11th_April_Evening_Shift_en_19_2.png)
C. Boundary surface diagrams of the orbitals encloses a region of 100% probability of finding the electron.
This statement is incorrect. The boundary surface usually encloses a region where there is approximately a 90% chance of finding the electron, not 100%.
_11th_April_Evening_Shift_en_19_3.png)
D. p and d-orbitals have 1 and 2 angular nodes respectively.
This statement is correct. The number of angular nodes corresponds to the orbital angular momentum quantum number (l). For a p-orbital, l=1, thus there is one angular node. For a d-orbital, l=2, thus there are two angular nodes.
E. Probability density of p-orbital is zero at the nucleus.
This statement is correct. The probability density of a p-orbital is indeed zero at the nucleus because p-orbitals have one angular node at the nucleus.
So, the total number of correct statements is 3 (A, D, E).
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