Match List-I with List-II and select the correct option.
Step 1: Analyze the given complexes and their coordination geometry
\([NiCl_4]^{2-}\) is a tetrahedral complex, typically exhibiting \(sp^3\) hybridization.
It also has a magnetic moment of 3.87 BM.
\([Ni(CN_4)]^{2-}\) is a square planar complex, usually exhibiting \(dsp^2\) hybridization.
It shows no unpaired electrons, so the magnetic moment is 0 BM.
\([CoCl_4]^{2-}\) is an octahedral complex, usually with \(sp^3d^2\) hybridization.
Its magnetic moment is 2.82 BM.
\([Ni(H_2O)_6]^{2+}\) is a tetrahedral complex, exhibiting \(sp^3\) hybridization and a magnetic moment of 2.82 BM.
Step 2: Match the complexes with their characteristics
A.
\([NiCl_4]^{2-}\) matches with IV.
\(sp^3\), tetrahedral, 3.87 BM.
B.
\([Ni(CN_4)]^{2-}\) matches with II.
\(dsp^2\), square planar, 0 BM.
C.
\([CoCl_4]^{2-}\) matches with I.
\(sp^3d^2\), octahedral, 2.82 BM.
D.
\([Ni(H_2O)_6]^{2+}\) matches with III.
\(sp^3\), tetrahedral, 2.82 BM.
The sum of the spin-only magnetic moment values (in B.M.) of $[\text{Mn}(\text{Br})_6]^{3-}$ and $[\text{Mn}(\text{CN})_6]^{3-}$ is ____.
In the given figure, the blocks $A$, $B$ and $C$ weigh $4\,\text{kg}$, $6\,\text{kg}$ and $8\,\text{kg}$ respectively. The coefficient of sliding friction between any two surfaces is $0.5$. The force $\vec{F}$ required to slide the block $C$ with constant speed is ___ N.
(Given: $g = 10\,\text{m s}^{-2}$) 
Two circular discs of radius \(10\) cm each are joined at their centres by a rod, as shown in the figure. The length of the rod is \(30\) cm and its mass is \(600\) g. The mass of each disc is also \(600\) g. If the applied torque between the two discs is \(43\times10^{-7}\) dyne·cm, then the angular acceleration of the system about the given axis \(AB\) is ________ rad s\(^{-2}\).

Match the LIST-I with LIST-II for an isothermal process of an ideal gas system. 
Choose the correct answer from the options given below: