Which of the following combination of statements is true regarding the interpretation of the atomic orbitals ? (a) An electron in an orbital of high angular momentum stays farther from the nucleus tha

Question

Which of the following combination of statements is true regarding the interpretation of the atomic orbitals ?

(a) An electron in an orbital of high angular momentum stays farther from the nucleus than an electron in an orbital of lower angular momentum.

(b) For a given value of the principal quantum number, the size of the orbit is inversely proportional to the azimuthal quantum number.

(c) According to wave mechanics, the ground state angular momentum is equal to $\frac{3 h}{2 π}$ .

(d) The plot of $ψ$ vs. $r$ for various azimuthal quantum numbers shows the peak shifting towards a higher $r$ value.

TestHub · Accepted Answer

(a) True: For the same principal quantum number ( $n$ ), orbitals with higher azimuthal quantum number ( $l$ ) have electrons farther from the nucleus.

(b) False: Orbital size mainly depends on the principal quantum number ( $n$ ), not inversely on $l$ .

(c) False: In the ground state ( $1 s$ ), $l = 0$ , so angular momentum is $l (l + 1) \frac{h}{2 π} = 0$ .

(d) True: The radial probability (or $ψ$ vs. $r$ ) peak shifts to larger $r$ as $l$ increases.

Correct Answer: (B) (a), (d)

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