Two solutions 'A' and 'B' are taken and diluted. On dilution, it was seen that the limiting molar conductivity of 'B' increases to a smaller extent while that of 'A' increases to a much larger extent comparatively, which of the two is a strong electrolyte ?

From the given standard reduction potentials, arrange the metals in decreasing order of their reducing power.
(A) \(E_{ Zn ^{2+} / Zn _{ n }}^0=-0.76 V\)
(B) \(E_{ Mg ^{2+} / Mg }^0=-2.37 V\)
(C) \(E_{ Al ^{3+} / Al }^0=-1.67 V\)
(D) \(E_{ Ag ^{+} / Ag }^0=+0.80 V\)
Choose the correct answer from the options given below:

Answer the question on the basis of passage given below :
One of the notable features of the transition element is the great variety of oxidation states it may show in its compounds. The elements which give the greatest number of oxidation states occur in or near the middle of the series. Manganese, for example exhibits all the oxidation states from +2 to +7. The lesser number of oxidation states at the extreme ends is either due to losing or sharing of few electrons (Sc, Ti) or too many d electrons of higher valence. Early in the first series scandium (II) is virtually unknown and titanium (IV) which is more stable than Ti (III) or Ti (II). On the other end, the only oxidation state of zinc is \(+ 2\).
Fe shows extra stability as \(Fe ^{3+}\) due to:

Neutral or weakly alkaline \(KMnO_4\) solution will oxidise iodide ion into :

Arrange the following amines in increasing order of basic strength in gaseous phase
(A) \(\left(\mathrm{CH}_3\right)_3 \mathrm{~N}\)
(B) \(\mathrm{CH}_3 \mathrm{NH}_2\)
(C) \(\mathrm{C}_6 \mathrm{H}_5 \mathrm{NH}_2\)
(D) \(\mathrm{C}_6 \mathrm{H}_5 \mathrm{CH}_2 \mathrm{NH}_2\)
Choose the correct answer from the options given below:

During bromination of phenol, Lewis acid is not necessary required because of :

Read the passage carefully and answer the Questions
Molar conductivity \(\left( \Lambda _m\right)\) of a solution at a given concentration (c) is the conductance of volume, V of solution, containing one mole of electrolyte kept between the two electrodes with area of cross-section A and at a distance of unit length. It increases with the decrease in concentration and when the concentration approaches zero, the molar conductivity is called limiting molar conductivity \(\Lambda_m^0\). For a strong electrolyte, \(\left( \Lambda _m\right)\) increases linearly with dilution and is given by \(\Lambda_m=\Lambda_m^0-A c^{1 / 2}\).The value of the constant A for a given solvent depends on the type of electrolyte along with temperature. According to Kohlrausch law, the value of \(\Lambda_m^0\) for an electrolyte is \(\Lambda_m^0=\nu_{+} \lambda_{+}^0+\nu_{-} \lambda_{-}^0\), where \(\nu_{+}\)and \(\nu_{-}\) where v₊ and v_- are the number of cations and anions, respectively, per molecule of the electrolyte and \(\lambda_{+}^0\) and \(\lambda_{-}^0\) are limiting molar conductivities of cation and anion, respectively. Kohlrausch law
finds many applications, like determining the solubility of a sparingly soluble salt, determining the degree of dissociation \(\left(\Lambda_m / \Lambda_m^0\right)\), and the dissociation constant of a weak electrolyte.
Which one of the following has a different value of constant A in water?

Name the reaction when Benzene is treated with ethanoyl chloride in the presence of anhydrous AlCl\(_3\)

The corner points of the bounded feasible region determined by the system of linear constraints are (0,0), (5,0), (6,5), (6,8), (4,10), (0,8).
Let \(z=3 x-4 y\) be the objective function. Then the minimum value of z occurs at :

The value of the determinant \(\left|\begin{array}{ccc}66 & 18 & 36 \\ 1 & 3 & 4 \\ 11 & 3 & 6\end{array}\right|\) is:

Identify the incorrect statement
A. Bakelite and urea-formaldehyde resins are elastomers
B. Polyamides like nylon 6, nylon 6, 6 are the examples of fibers.
C. Polystyrene, polyvinylchloride and polythene are thermoplastic polymers.
D. Thermoplastic polymers have intermolecular force between elastomers and fibers.
Choose the most appropriate answer from the options given below:

If \(\vec{a}+\vec{b}+\vec{c}=\overrightarrow{0}\) and \(|\vec{a}|=5,|\vec{b}|=3,|\vec{c}|=7\), then the acute angle between \(\vec{a}\) and \(\vec{b}\) is

In case of phosphorus, \(\text{PCl}_3\) and \(\text{PCl}_5\) are possible while nitrogen only forms \(\text{NCl}_3\), and not \(\text{NCl}_5\). This due to :