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 away from the nucleus than

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 away from the nucleus than an electron in the 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 $\frac{h}{2 π}$ .

$(D)$ The plot of $ψ$ Vs $r$ for various azimuthal quantum numbers, shows peak shifting towards higher $r$ value.

TestHub · Accepted Answer

Statements (B) and (C) are incorrect.

For a given value of the principal quantum number, the size of the orbit is directly proportional to the azimuthal quantum number and not inversely proportional.
The formula for angular momentum is $\frac{h}{2 π} \sqrt{l (l + 1)}$
If the electron is in ground state, n will be 1 and the only azimuthal quantum number value can be 0. If l = 0, angular quantum momentum will also be 0. The plot of $ψ$ Vs $r$ for various azimuthal quantum numbers, shows peak shifting towards higher $r$ value.

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