Which of the following combination of statements is true regarding the interpretation of the atomic orbitals?
(1) An electron in an orbital of high angular momentum stays away from the nucleus than an electron in the orbital of lower angular momentum.
(2) For a given value of the principal quantum number, the size of the orbit is inversely proportional to the azimuthal quantum number
(3) According to wave mechanics, the ground state angular momentum is equal to
(4) The plot of for various azimuthal quantum numbers, shows peak shifting towards higher r value
(1) An electron in an orbital of high angular momentum stays away from the nucleus than an electron in the orbital of lower angular momentum.
(2) For a given value of the principal quantum number, the size of the orbit is inversely proportional to the azimuthal quantum number
(3) According to wave mechanics, the ground state angular momentum is equal to
(4) The plot of for various azimuthal quantum numbers, shows peak shifting towards higher r value
- (A)(1), (4)✓ Correct
- (B)(1), (2)
- (C)(1), (3)
- (D)(2), (3)
Answer: (A)
Solution
Judge the four statements. An electron in a higher angular-momentum orbital does on average stay farther from the nucleus, so the first statement is sound. The claim that orbital size is simply inversely proportional to the azimuthal quantum number is false, and the claim that the ground-state angular momentum equals is the old Bohr value -- wave mechanics puts the angular momentum at zero. The last statement, that the radial plot peaks at higher as the azimuthal quantum number changes for a given , is correct. So the correct pair is the first and fourth statements.
JEE Main · 2019 · 09 Jan 2019 · Shift 2 · Single correct option