Valence Bond Theory (VBT):
- VBT explains the bonding in coordination compounds by considering the hybridization of orbitals on the central metal atom or ion.
- The metal ion provides vacant orbitals to accommodate the lone pairs of electrons donated by ligands, forming coordinate covalent bonds.
- The geometry of the complex depends on the type of hybridization:
- \( sp^3 \): Tetrahedral
- \( dsp^2 \): Square planar
- \( d^2sp^3 \): Octahedral
Demerits of VBT:
1. Fails to explain the color of coordination compounds.
2. Cannot account for the magnetic properties of some complexes.
3. Does not provide a quantitative measure of bond strength or stability.
Find the values of \( x, y, z \) if the matrix \( A \) satisfies the equation \( A^T A = I \), where
\[ A = \begin{bmatrix} 0 & 2y & z \\ x & y & -z \\ x & -y & z \end{bmatrix} \]
(b) Order of the differential equation: $ 5x^3 \frac{d^3y}{dx^3} - 3\left(\frac{dy}{dx}\right)^2 + \left(\frac{d^2y}{dx^2}\right)^4 + y = 0 $