If limiting molar conductance of \(NaCl , K _3 PO _4\) and KCl are \(110.2,98.8\) and \(134.6 \Omega^{-1} cm^2 mol^{-1}\) respectively, the limiting molar conductance of \(Na _3 PO _4\) will be: \(\left(\Omega^{-1} cm^2 mol^{-1}\right)\)

Choose the correct statement from the following:

Read the passage carefully and answer the questions
Sodium dichromate \(Na _2 Cr _2 O _7\) and Potassium dichromate \(K _2 Cr _2 O _7\) are strong oxidizing agents; in acidic solution, its oxidising action can be represented as follows :
\(Cr _2 O _7^{2-}+14 H ^{+}+6 e^{-} \rightarrow 2 Cr ^{3+}+7 H _2 O \left( E ^{\circ}=1.33 V\right)\)
The chromates and dichromates are interconvertible in aqueous solution depending upon pH of the solution.
The chromate ion is tetrahedral whereas the dichromate ion consists of two tetrahedra sharing one corner with \(Cr - O - Cr\) bond angle of \(126^{\circ}\)
Potassium permanganate is prepared by fusion of \(MnO _2\) with an alkali metal hydroxide and an oxidising agent like \(KNO _3\).
This produces the dark green \(K _2 MnO _4\) which disproportionates in a neutral or acidic solution to give permanganate. It is a strong oxidizing agent. Hydrogen ion concentration of the solution plays 
an important part in the reduction of permanganate to manganate, manganese dioxide and manganese(II) salt.
Potassium permanganate forms dark purple (almost black) crystals which are isostructural with those of \(KClO _4\).
The salt is not very soluble in water \((6.4 g / 100 g\) of water at 293 K ), but when heated it decomposes at 513 K.
The number of moles of KMnO₄ required to react with one mole of sulphide ion in acidic solution is

Match List-I with List-II

List-I (Term)	List-II (Formula/expression)
(A) Raoult's law	(I) \(\frac{p_1^{\circ}-p_1}{p_1^{\circ}}=x_2\)
(B) Henry's Law	(II) \(p_{\text {total }}=p_1^{\circ}+\left(p_2^{\circ}-p_1^{\circ}\right) x_2\)
(C) Dalton's Law of partial pressure	(III) \(p=K_{H} x\)
(D) Relative lowering of vapor pressure	(IV) \(p_2=p_2^{\circ} x_2\)

choose the correct answer from the options given below:

Read the passage carefully and answer the questions
Amines are considered as derivatives of ammonia obtained by replacement of hydrogen atoms with alkyl or aryl groups. In nature they occur among proteins, vitamins, alkaloids and hormones. These can be primary, secondary or tertiary depending on the number of hydrogen groups replaced. They can be prepared from nitro compounds, alkyl halides, nitriles, amides etc. Due to unshared pair of electrons they behave as Lewis bases. Influence of the number of hydrogen atoms at nitrogen atom is displayed in physical properties such as solubility, boiling point and chemical reactions including basicity. Basic character of amines is expressed in terms of their \(K_b\) and \(p K_b\) values. Three classes of amines can be distinguished with p-toluene sulphonyl chloride which reacts with primary and secondary ddu amines. Amino group when attached to benzene ring behaves as an activating and ortho para directing group.
Which of the following is a tertiary amine?

Which of the following compounds will not give azo coupling reaction with benzene diazonium chloride?

Match List - I with List - II

List - I (Order of reaction)	List - II (Unit)
(A). Zero order reaction	(I). \(L ^2 mol^{-2} s^{-1}\)
(B). First order reaction	(II). \(mol ^{-1} L s ^{-1}\)
(C). Second order reaction	(III). \(mol L ^{-1} s^{-1}\)
(D). Third order reaction	(IV). \(s ^{-1}\)

Choose the correct answer from the options given below:

A simple random sample of 100 items from a population with \(\sigma=8\) has a standard error of mean :

Eli Lilly, in 1983, developed human insulin using rDT by combining chain A and chain B with:

A motor has an armature resistance \( 4 \, \Omega \). It is operating on 220 V. At its full speed, it develops a back emf of 200 V. The current in the armature when the motor is switched on will be :

The difference of two different skew-symmetric matrices is :

Which one of the following statement is incorrect about sinking fund?

The variance of the number of heads in two tosses of a coin is :