How many C \(\text{mol}^{-1}\) are required to convert 1 mol of \(\text{MnO}_4^-\) to \(\text{Mn}^{2+}\)?
[1F = 96500 C]

Read the passage carefully and answer the questions
The coordination compounds are of great importance. These compounds are widely present in the mineral, plants and animal world and are known to play many important functions in the area of analytical chemistry, metallurgy, biological systems, industry and medicine. For example, coordination compounds find use in many qualitative and quantitative chemical analysis. Some important metal extraction and purification make use of complex formation. Hardness of water can be estimated by stable complex formation of Ca\(^{2+}\) and Mg\(^{2+}\)
Impure nickel is converted to which of its complex to be decomposed to yield pure nickel?

Allyl chloride on dehydrochlorination gives:

Question based on the following passage :
P-Block elements are placed in group 13 to 18 in the periodic table. Group 15 is nitrogen family.
Nitrogen can react with hydrogen, oxygen, halogens etc. It shows multiple oxidation states in its various oxides i.e. \(N_2O, N_2O_3, N_2O_5\) etc. Important allotropic forms of phosphorus are white, red and black phosporus. Various compounds of phosphorus are phosphine, \(PCl_3, PCl_5\) and oxoacids of phosphorus. Oxidation states \(+1\) to \(+5\) are seen in various oxoacids of phosphorus. Group 17 elements are collectively known as halogens. Bond dissociation enthalpy of \(F_2\) is smaller than \(Cl_2\).
The gases present in group 18 are chemically unreactive, they form only few compounds. Neil Bartlett (in 1962) observed the reaction of a noble gas. Since then, many noble gas compounds have been synthesised.
The bond angle in \(PH_3\) is less than \(PH_4^+\) due to :

The product in the following reaction is

Choose the correct statements from the following :
(A) two different solutions of sucrose of same molality prepared in different solventswill have the same depression in freezing point.
(B) the osmotic pressure of a solution is given by the equation \(II = CRT\) (where C is the molarity of the solution)
(C) decreasing order of osmotic pressure for 0.01 M aqueous solution of \(BaCl _2, KCl , CH _3 COOH\), and sucrose is \(BaCl _2 > KCl > CH _3 COOH >\) sucrose
(D) according to Raoult's law the vapor pressure exerted by a volatile component of asolution is directly proportional to its mole fraction in the solution
Choose the correct answer from the options given below :

\(C_2 H_5 OH \xrightarrow{X} C_2 H_5 Cl \xrightarrow{Y} C_2 H_5 CN\)
\(X\) and \(Y\) used in the above reaction are :

If a line makes angles \(\alpha, \beta, \gamma\) with the positive directions of the coordinate axes, then the value of \(\cos 2 \alpha+\cos 2 \beta+\cos 2 \gamma\) is

The Mutual inductance \(M _{12}\) of coil 1 with respect to coil 2-

A resistor, a capacitor and an inductor are joined in series with an alternating current source. If the frequency of the source is slightly increased from a very low value, then :

A monochromatic visible light consists of

Match List I with List II

List I	List ll
(A) Pneumonia	(I) Wuchereria bancrofti
(B) Typhoid	(II) Streptococcus pneumoniae
(C) Filariasis	(III) Entamoeba histolytica
(D) Amoebiasis	(IV) Salmonella typhi

Choose the correct answer from the options given below:

The equation of the tangent to the curve \(y=\frac{x-5}{(x-3)(x+2)}\) at the point where it cuts the \(x\)-axis is :