Which of the following statements is wrong?

1. The uncertainty principle is $∆x·∆p\ge \frac{h}{4\mathrm{\pi }}$

2. Half-filled and fully filled orbitals have greater stability due to greater exchange energy,

greater symmetry, and a more balanced arrangement.

3. The energy of the 2s orbital is less than the energy of the 2p orbital in the case of hydrogen-like atoms.

4. De-Broglie's wavelength is given by $\lambda =\frac{h}{mv}$, where m= mass of the particle, v = group velocity of the particle.

A pair of d-orbitals having electron density along the axes is

1. $d_{z^2}, d_{xz}$

2. $d_{xz}, d_{zy}$

3. $d_{z^2}, d_{x^2-y^2}$

4. $d_{xy}, d_{x^2-y^2}$

The incorrect statement among the following is

1. Total orbital angular momentum of an electron in 's' orbital is equal to zero.

2. An orbital is designated by three quantum numbers, while an electron in an atom is designated by four quantum numbers.

3. The electronic configuration of N atom is 
       

4. The value of m for d_z² is zero.

How many electrons can fit in the subshell for which n = 3 and l = 1?
1.  2
2.  6
3.  10
4.  14

The element Z = 114 has been discovered recently. 
It will belong to which of the following family/group and electronic configuration.
1. $Carbon family\left[Rn\right]5 f^{14} 6d^{10}7s^{2}7p^2$
2. $Oxygen family\left[Rn\right]5 f^{14} 6d^{10}7s^{2}7p^4$
3. $Nitrogen family\left[Rn\right]5 f^{14} 6d^{10}7s^{2}7p^6$
4. $Ha\log en family\left[Rn\right]5 f^{14} 6d^{10}7s^{2}7p^5$

The electronic configurations of Eu (Atomic no. 63), Gd (Atomic no. 64) and Tb (Tb Atomic no. 65) are

1. [Xe]4f⁶5d¹6s², [Xe]4f⁷5d¹6s² and [Xe]4f⁹6s²

2. [Xe]4f⁶5d¹6s², [Xe]4f⁷5d¹6s² and [Xe]4f⁸5d¹6s²

3. [Xe]4f⁷6s², [Xe]4f⁷5d¹6s² and [Xe]4f⁹6s²

4. [Xe]4f⁷6s², [Xe]4f⁸6s² and [Xe]4f⁸5d¹6s² 

Two electrons occupying the same orbital are distinguished by

(1) Magnetic quantum number

(2) Azimuthal quantum number

(3) Spin quantum number

(4) Principal quantum number

Which of the following pairs of d-orbitals will have electron density along the axes?

(1) d_z²,d_xz

(2) d_xz,d_yz

(3) d_z²,d_x²-y²

(4) d_xy,d_x²-y²

The number of electrons that can be fit into the orbital for which n = 3 and l = 1, is 

1. 2

2. 6

3. 10

4. 14