The complex \([\text{Co(NH}_3)_4(\text{NO}_2)_2]\text{Cl}\) exhibits :
A. Coordination isomerism
B. Linkage isomerism
C. Solvate isomerism
D. Ionisation isomerism
E. Geometrical isomerism
Choose the correct answer from the options given below :

The composition of Chromate ore is :

For the following reaction, at equilibrium the Nernst equation may be written as:
\(\mathrm{Zn}(\mathrm{s})+\mathrm{Cu}^{2+}(\mathrm{aq}) \rightarrow \mathrm{Zn}^{2+}(\mathrm{aq})+\mathrm{Cu}(\mathrm{s})\)

The synthesis of alkyl fluoride is best achieved through

The atomic number of Lanthanum is 57. Its electronic configuration will be ...........

What is the correct Nernst equation for the following cell?
\(Zn(s)|Zn^{2+}||Ag^{+}|Ag(s)\)

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.
Which of the following pairs exists as high-spin, tetrahedral complexes?

Match List-l with List-ll

List-l	List-ll
(A) \(\int_{-a}^a f(x) d x=0\)	(I) \(0\)
(B) \(\int_0^{2 a} f(x) d x=2 \int_0^a f(x) d x\)	(II) 1
(C) \(\int_{-\pi}^\pi \cos x d x\)	(III) \(f\) is an odd function
(D) \(\int_{-1}^1 x^{101} d x+1\)	(IV) \(f(2 a-x)=f(x)\)

Choose the correct answer from the options given below :

The value of \(\left|\begin{array}{lll}1 & b & c+a \\ 1 & c & a+b\end{array}\right|\) is

If \(y=e^{a \cos ^{-1} x},-1< x< 1\), then \(\left(1-x^2\right) \frac{d^2 y}{d x^2}-x \frac{d y}{d x}\) is equal to

If you place blood cells in a solution containing more than 0.9% (mass/volume) sodium chloride, water will flow out of the cells and they will shrink. Such a solution is called

The number of letters posted in a certain city on each day for a week is given as follows : 40, 55, 28, 25, 31, 52, 43
Which of the following is NOT an entry in the three-day moving averages?

In the (i) absence of electric field, and in the (ii) presence of electric field, the paths of electrons between successive collisions with the positive ions of the metal, are