To determine the number of CO stretching bands in the infrared (IR) spectrum of \(Fe(CO)_5\), we need to consider the molecular geometry and symmetry of the complex.
The iron pentacarbonyl, \(Fe(CO)_5\), has a trigonal bipyramidal geometry. This structure has a central iron atom surrounded by five carbon monoxide (CO) ligands. Two of the CO ligands are axial, and three are equatorial.
For such geometries, the vibrational modes can be analyzed using group theory. Each type of CO bond can have different vibrational modes based on their positions:
Therefore, by applying group theoretical analysis, we find:
Each type of stretching will result in a distinct band in the IR spectrum. Hence, the number of distinct CO stretching bands in the IR spectrum of \(Fe(CO)_5\) is 2.
Therefore, the correct answer is 2.

The UV-visible spectrum of [Ni(en)\(_3\)]\(^{2+}\) (en = ethylenediamine) shows absorbance maxima at 11200 cm\(^{-1}\), 18350 cm\(^{-1}\), and 29000 cm\(^{-1}\).

[Given: Atomic number of Ni = 28] The correct match(es) between absorbance maximum and electronic transition is/are
One mole of a monoatomic ideal gas starting from state A, goes through B and C to state D, as shown in the figure. Total change in entropy (in J K\(^{-1}\)) during this process is ............... 
The number of chiral carbon centers in the following molecule is ............... 
A tube fitted with a semipermeable membrane is dipped into 0.001 M NaCl solution at 300 K as shown in the figure. Assume density of the solvent and solution are the same. At equilibrium, the height of the liquid column \( h \) (in cm) is ......... 