Fuel cell involves _________

The correct IUPAC name of the following organic compound is

Match the complexes given in List - I with the geometry given in List - II

List - I (Complex)	List - II (Geometry)
(A) \(\left[ NiCl _4\right]^{2-}\)	(I) Tetrahedral, paramagnetic
(B) \(\left[ Ni ( CN )_4\right]^{2-}\)	(II) Square planer, diamagnetic
(C) \(\left[ CoF _6\right]^{3-}\)	(III) Octahedral, diamagnetic
(D) \(\left[ Co \left( NH _3\right)_6\right]^{3+}\)	(IV) Octahedral, paramagnetic

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Match List-I with List-II

List-I (Reaction property)	List-II (Formula)
(A) Half-life of decomposition of gaseous ammonia on hot platinum surface	(I) \(\frac{1}{t} \ln \left(\frac{[A]_0}{[A]_t}\right)\)
(B) Instantaneous rate	(II) \(\frac{[R]_0}{2 k}\)
(C) Rate constant of inversion of cane sugar	(III) \(-\frac{d x}{d t}\)
(D) Half-life of acid hydrolysis of methyl acetate	(IV) \(\frac{\ln (2)}{k}\)

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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 \(\left(\Lambda_m^0\right)\). For a strong electrolyte, \(\Lambda_m\) 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 \(\left(\Lambda_m^0\right)\) for an electrolyte is A\(\Lambda_m^0=\nu_{+} \lambda_{+}^0+\nu_{-} \lambda_{-}^0\), where \(\nu_{+}\)and \(\nu_{-}\) 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.
If the equivalent conductivity of 1 M Phthalic acid is \(12.8 S cm ^2 eq ^{-1}\) and the limiting equivalent conductivities of the
hydrogen and Phthalate ions are 42 and \(288.42 S cm ^2 eq ^{-1}\), respectively, the degree of dissociation of Phthalic acid will be :

Arrange the following compounds in increasing order of their solubility in water :
(A) n-butanol
(B) Butan-1-amine
(C) Methanamine
(D) Aniline

Aspartame is not used in hot drinks as sweetener because :

In an AC circuit, the current leads the voltage by \(\pi / 2\). The circuit is :

Which phenomenon occurs when an electric field is applied to a colloidal solution and electrophoresis is prevented?
(A) \quad Reverse osmosis takes place
(B) \quad Electroosmosis takes place
(C) \quad Dispersion medium begins to move in an electric field
(D) \quad Dispersion medium becomes stationary
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The function \(f: Z \rightarrow Z\) defined by \(f(x)=x^2+x\), where \(Z\) is the set of integers, is:

The kinetic energy of an electron in the H-atom in the second excited state is k units. Its total energy and potential energy, respectively, in the ground state will be

Which of the following could not be a rate determining step?

Water soluble vitamins are excreted out of our body through urination. Identify the vitamin which is stored in our body for a number of years?