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Shapes of Orbitals and Nodes

22.Maximum nu...

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22.Maximum number of orbital are present for which set of quantum number? (1) l = 2, m = 2 (2) l = 1, m = 0 (3) l = 0, m = 0 (4) l = 3, m = 0

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Q. Consider the following sets of quantum numbers:

$n$	$l$	$m$	$s$
(A) $3$	$0$	$0$	$+ 1 / 2$
(B) $2$	$2$	$1$	$+ 1 / 2$
(C) $4$	$3$	$- 2$	$- 1 / 2$
(D) $1$	$0$	$- 1$	$- 1 / 2$
(E) $3$	$2$	$3$	$+ 1 / 2$

Which of the following sets of quantum numbers is not possible?

Q. If Azimuthal quantum number has possible values from

0

n + 1

3

possible values for spin quantum number

(+ \frac{1}{2}, 0, - \frac{1}{2})

, then maximum number of electrons which can be filled into

3

Q. Two electrons A and B in an atom have the following set of quantum numbers

A : 3, 2, - 2, + 1 / 2

B : 3, 0, 0, + 1 / 2

Which statements is correct for A and B.

Q. The radial wave function for an orbital in a hydrogen atom is:

ψ = \frac{1}{16 \sqrt{3}} {(\frac{1}{a_{0}})}^{\frac{3}{2}} [(x - 1) (x^{2} - 8 x + 12)] e^{- \frac{x}{2}}

x = \frac{2 r}{a_{0}}; a_{0} =

radius of first Bohr's orbit. The minimum and maximum position of radial nodes from the nucleus are:

Q. Given set of quantum numbers for a multi-electron atom is:

$n$	$l$	$m$	$s$
$2$	$0$	$0$	$+ 1 / 2$
$2$	$0$	$0$	$- 1 / 2$

What is the next higher allowed set of '

n

l

' quantum numbers for this atom in the ground state?

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