List - I
(Number of d-electrons)List - II
(CFSE)A. $\text{d}^{6}$ I. $-0.4$ B. $\text{d}^{4}$ II. $-1.2$ C. $\text{d}^{7}$ III. $-0.8$ D. $\text{d}^{8}$ IV. $-0.6$
Choose the correct answer from the options given below :
This question requires matching the number of d-electrons in transition metal ions with their corresponding Crystal Field Stabilization Energy (CFSE) values specifically within tetrahedral complexes. We consider the standard splitting of d-orbitals in a tetrahedral ligand field.
In tetrahedral complexes, the d-orbitals split into a lower energy e set (2 orbitals) and a higher energy t2 set (3 orbitals). The energy difference is denoted as $ \Delta_t $. The CFSE calculation is based on the number of electrons occupying these sets, using coefficients relative to the barycenter:
$ \text{CFSE} = n_e \times (-0.4 \Delta_t) + n_{t_2} \times (+0.6 \Delta_t) $
The values in List-II are specific CFSE values provided for matching.
The correct option (C) provides the following pairings:
| List - I (Number of d-electrons) | List - II (CFSE Value) |
| A. $ \text{d}^{6} $ | IV. $-0.6$ |
| B. $ \text{d}^{4} $ | I. $-1.2$ |
| C. $ \text{d}^{7} $ | II. $-0.8$ |
| D. $ \text{d}^{8} $ | III. $-0.4$ |
This comprehensive matching, as indicated by the correct answer, connects each d-electron configuration from List-I to its specified CFSE value from List-II.
Arrange the Hydrogen of the following compounds from most acidic to least acidic :
Choose the correct answer from the options given below :
| List - I | List - II |
|---|---|
| A. Root mean square speed | I. $(8 \text{ kT}/\pi\mu)^{1/2}$ |
| B. Mean speed | II. $(8 \text{ RT}/\pi\text{M})^{1/2}$ |
| C. Most probable speed | III. $(3 \text{ RT}/\text{M})^{1/2}$ |
| D. Mean relative speed | IV. $(2 \text{ RT}/\text{M})^{1/2}$ |
| List-I | List-II |
| Electronic Configuration | First Ionisation energy (kJ mol$^{-1}$) |
| (A). ns$^2$ | (I). 2100 |
| (B). ns$^2$np$^1$ | (II). 1400 |
| (C). ns$^2$np$^3$ | (III). 800 |
| (D). ns$^2$np$^6$ | (IV). 900 |
| List-I | List-II |
| Spectroscopy | Property |
| (A). Raman | (I). Polarizability |
| (B). FTIR | (II). Dipole Moment |
| (C). UV-Visible | (III). Absorbance |
| (D). NMR | (IV). Spin |