Atomic Structure Test

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Atomic Structure Test - 10

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Weekly Quiz Competition

Question 1
1 / -0

A 3d electron having s = + 1/2 can have magnetic quantum number

A
+2

B
+3

C
-3

D
-4

Solution

3d electrons having s = +1/2
l = 2,
It can have the following values of magnetic quantum number: -2, -1, 0, +1, +2
Question 2
1 / -0

The number of nodal points in the plot of R_{n, 0} versus r is equal to the value of

A
n

B
l

C
n – l

D
n – (l + 1)

Solution

The number of nodal points in the plot of R_{n, 0} versus r is n – (l + 1). For example, R_{1, 0} (i.e. 1s orbital) has no node, and R_{2, 0} (i.e. 2s orbital) has one node.
Question 3
1 / -0

For 2s orbital, the nodal surface exists at a distance _____ from the nucleus.

A
a₀

B
1.5a₀

C
2a₀

D
infinity

Solution

At r = 2a₀, there is a node as the value of function R_{2, 0} is zero at this distance.
Question 4
1 / -0

The maximum number of 3d electrons having spin quantum number s = +1/2 is

A
10

B
6

C
5

D
Any number from 1 to 10

Solution

The total number of 3d subshells is 10, but the number of electrons with s = + 1/2 is 5.
Question 5
1 / -0

The energy of an orbital in a multielectron atom depends on the

A
principal quantum number only

B
principal and azimuthal quantum numbers only

C
principal, azimuthal and magnetic quantum numbers

D
principal, azimuthal, magnetic and spin quantum numbers

Solution

The energy of a single electron species such as H, He⁺ and Li²⁺ depends only on the principal quantum number, whereas for a multielectron species it depends on the principal as well as azimuthal quantum number.
Question 6
1 / -0

Which of the following orbital notations does not have spherical node?

A
n = 2, l = 0

B
n = 2, l = 1

C
n = 3, l = 0

D
n = 1, l = 0

Solution

The number of nodes is equal to (n – 1) and the number of spherical nodes is given by the expression (n – l – 1).
Question 7
1 / -0

Which of the following sets of quantum numbers (n, l, m and m_s, respectively) is not possible?

A
2, 1, 0, –1/2

B
2, 2, 0, 1/2

C
3, 2, 1, 1/2

D
3, 2, 0, 1/2

Solution

The value of l cannot exceed n – 1.

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Atomic Structure Test - 10

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Atomic Structure Test - 10

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Question 1

+2

+3

-3

-4

Solution

Question 2

n

l

n – l

n – (l + 1)

Solution

Question 3

a0

1.5a0

2a0

infinity

Solution

Question 4

10

6

5

Any number from 1 to 10

Solution

Question 5

principal quantum number only

principal and azimuthal quantum numbers only

principal, azimuthal and magnetic quantum numbers

principal, azimuthal, magnetic and spin quantum numbers

Solution

Question 6

n = 2, l = 0

n = 2, l = 1

n = 3, l = 0

n = 1, l = 0

Solution

Question 7

2, 1, 0, –1/2

2, 2, 0, 1/2

3, 2, 1, 1/2

3, 2, 0, 1/2

Solution

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a₀

1.5a₀

2a₀