Structure of Atom · Question 4

Energy and radius of first Bohr orbit of He+ and Li2+ are [Given RH = 2.18 10-18 J, a0 = 52.9 pm]

1. En (Li2+ ) = -19.62 10-16 J; rn (Li2+ ) = 17.6 pm En (He+ ) = -8.72 10-16 J; rn (He+ ) = 26.4 pm
2. En (Li2+ ) = -8.72 10-16 J; rn (Li2+ ) = 17.6 pm En (He+ ) = -19.62 10-16 J; rn (He+ ) = 17.6 pm
3. En (Li2+ ) = -19.62 10-18 J; rn (Li2+ ) = 17.6 pm En (He+ ) = -8.72 10-18 J; rn (He+ ) = 26.4 pm
4. En (Li2+ ) = -8.72 10-18 J; rn (Li2+ ) = 26.4 pm En (He+ ) = -19.62 10-18 J; rn (He+ ) = 17.6 pm

The energy of an electron in the ground state (n = 1) for He+ ion is -x J, then that for an electron in (n = 2) state for Be3+ ion in J is

1. -x
2. - x9
3. -4x
4. - 49x

Match List I with List II. Choose the correct answer from the options given below :

1. A-I, B-III, C-II, D-IV
2. A-III, B-IV, C-I, D-II
3. A-III, B-IV, C-II, D-I
4. A-II, B-I, C-IV, D-III

The quantum numbers of four electrons are given below : I. n = 4; l = 2; ml = -2; s = - 12 II. n = 3; l = 2; ml = 1; s = + 12 III. n = 4; l = 1; ml = 0; s = + 12 IV. n = 3; l = 1; ml = -1; s = + 12 The correct decreasing order of energy of these electrons is

1. IV > II > III > I
2. I > III > II > IV
3. III > I > II > IV
4. I > II > III > IV

Given below are two statements: In the light of the above statements, choose the correct answer from the options given below:

1. Statement I is true but Statement II is false
2. Statement I is false but Statement II is true
3. Both Statement I and Statement II are true
4. Both Statement I and Statement II are false

Select the correct Statements from the following : Choose the correct answer from the options given below.

1. C, D and E only
2. A and E only
3. B, C and E only
4. A, B and C only

The relation between nm (nm = the number of permissible values of magnetic quantum number (m)) for a given value of azimuthal quantum number (l), is

1. l = 2nm + 1
2. nm = 2l2 + 1
3. nm = l + 2
4. l = nm - 12

Identify the incorrect statement from the following.

1. All the five 5d orbitals are different in size when compared to the respective 4d orbitals.
2. All the five 4d orbitals have shapes similar to the respective 3d orbitals.
3. In an atom, all the five 3d orbitals are equal in energy in free state.
4. The shapes of dxy, dyz and dzx orbitals are similar to each other; and dx2-y2 and dz2 are similar to each other.

If radius of second Bohr orbit of the He+ ion is 105.8 pm, what is the radius of third Bohr orbit of Li2+ ion?

1. 158.7 pm
2. 15.87 pm
3. 1.587 pm
4. 158.7 A

Match List-I with List-II : Choose the correct answer from the options given below :

1. (a)-(iii), (b)-(iv), (c)-(ii), (d)-(i)
2. (a)-(iii), (b)-(iv), (c)-(i), (d)-(ii)
3. (a)-(iv), (b)-(iii), (c)-(i), (d)-(ii)
4. (a)-(iv), (b)-(iii), (c)-(ii), (d)-(i)