The coordination number \(( CN )\) and oxidation state \(( OS )\) of Co in \(\left[ Co \left( C _2 O _4\right)_3\right]^{3-}\) is. \(\_\_\_\_\)

Answer the question on the basis of passage given below :
A colloid is a heterogeneous system in which a substance is dispersed (dispersed phase) as fine particles in another substance called dispersion medium.
Their particle size is intermediate between that of pure solutions (less than 1 nm) and suspensions (greater than 1000 nm). They are known for interesting properties such as enormous surface area, Tyndall effect, Brownian motion etc.
They are widely used in industries and day to day life.
Some prominent uses of colloids are those in smoke precipitators, purification of water, medicines, cleansers etc.
Which of the following statement is false regarding charge on sol particles ?

Which of the following statements is correct?

Four different electrolyte solutions with the concentrations given below have the same molar conductivity value of \(1.29 \times 10^{-4} \mathrm{~S} \mathrm{~m}^2 \mathrm{~mol}^{-1}\). Arrange them in increasing order of their conductivity values:
(A) 0.1 M
(B) 0.075 M
(C) 0.15 M
(D) 0.05 M
Choose the correct answer from the options given below:

The Galvanic cells will behave like an electrolytic cell when

How many \(Cr-O\) bonds in dichromate ions are of the same bond length and are in resonance?

Which of the following statement is incorrect about aldol condensation?

Read the passage carefully and answer
The crystal field theory (CFT) is an electrostatic model which considers the metal-ligand bond to be ionic arising purely from electrostatic interactions between the metal ion and the ligand. Ligands are treated as point charges in case of anions or dipoles in case of neutral molecules. The five d orbitals in an isolated gaseous metal atom/ion have same energy, i.e., they are degenerate. This degeneracy is maintained if a spherically symmetrical field of negative charges surrounds the metal atom/ion. However, when this negative field is due to ligands (either anions or the negative ends of dipolar molecules like NH3 and H2O) in a complex, it becomes asymmetrical and the degeneracy of the d orbitals is lifted. It results in splitting of the d orbitals. The pattern of splitting depends upon the nature of the crystal field.
In tetrahedral coordination complexes, low-spin configurations are rare because:

If a line makes angles \(\frac{2 \pi}{3}\) and \(\frac{\pi}{3}\) with positive direction of \(x\)-axis and \(y\)-axis respectively,
then the acute angle made by the line with positive \(z\)-axis is:

In the following which plant is also called 'Terror of Bengal'?

A parallel combination of three resistors takes a current of 7.5 A from a 30 V battery.
If the resistances of two resistors are \( 12 \text{ } \Omega \) and \( 10 \text{ } \Omega \), then the resistance of the third resistor is:

The age distribution plotted for the population is known as the 'Age pyramid'. Select the three types of age pyramids based on the shape and age groups:
(A) Expanding
(B) Inverted
(C) Stable
(D) Declining
Choose the correct answer from the options given below:

If \(A\) and \(B\) are non singular square matrices of the same order,
then which of the statements are true ?
(A) \((\operatorname{adj} A)(\operatorname{adj} B)=(\operatorname{adj} B)(\operatorname{adj} A)\)
(B) \((A B)^T=A^T B^T\), if \(A^T\) denotes transpose of \(A\)
(C) \((A B)^{-1}=B^{-1} A^{-1}\)
(D) Multiplication of matrices is not commutative