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 $\frac{h}{2\pi }$.

d) The plot of $\psi$ vs various azimuthal quantum numbers, show peak shifting towards a higher value.

• A. $b,c$
• B. $a,d$
• C. $a,b$
• D. $a,c$

Answer 1

The correct option is D $a,c$

An electron in an orbital of high angular momentum stays away from the nucleus than an electron in the orbital of lower angular momentum.

According to Bohr's theory, angular momentum is an integral multiple of $\frac{h}{2\pi }$. Hence,the ground state angular momentum is h equal to $\frac{h}{2\pi }$.
Statements b and c are incorrect. As we know the principal quantum number depends on size whereas azimuthal quantum number doesn't depend on size.

Hence option D is the correct answer.