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Electrochemistry is the study involving two types of processes. One type involves the production of electricity from the energy released during a spontaneous chemical reaction. Galvanic cells like Daniel cells are used to produce electricity from the redox reaction. Nernst equation of a galvanic cell gives the relation between the standard cell potential and the concentration of the species involved in the redox reaction. The second type of study involves the cells in which electrical energy is used to bring about the chemical reactions in a non-spontaneous process. The conductance of electrolytic solution depends on many factors including the nature of the electrolyte and the dimensions of the electrolytic cell.
The following equation represents the reaction taking place in a Galvanic cell:
Mg(s) + 2Ag\(^+\)(0.001 M) \(\rightarrow\) Mg\(^2+\)(0.01 M) + 2Ag(s)
Calculate its \(E_{\text {cell }}\) at 298 K if \(E_{\text {cell }}^{\circ}=2.91 \mathrm{~V}\).

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In the formation of coordination complexes, if the inner \(d\) orbital \((n-1) d\) is used in hybridisation, the complex, is called an inner orbital or low spin or spin paired complex. And if it uses outer \(d\) orbital ( \(n d\) ) in hybridisation (like \(s p^3 d^2\) ), it is called outer orbital or high spin or spin free complex. The degeneracy of the \(d\) orbitals has been removed due to ligand electron-metal electron repulsions in the complex. This splitting of the degenerate levels due to the presence of ligands in a definite geometry is termed as crystal field splitting. For coordination complexes, the magnetic moment is determined by the number of unpaired electrons and is calculated by using the 'spin-only' formula, \(\mu=\sqrt{n(n+2)}\) where \(n\) is the number of unpaired electrons and \(\mu\) is the magnetic moment in units of Bohr magneton (BM). The coordination compounds are of great importance. These compounds are widely present in the mineral, plant and animal worlds and are known to play many important functions in the area of analytical chemistry, metallurgy, biological systems, industry and medicine.
Fe(II) octahedral complexes can show different 'spin only' magnetic moments for arrangements in the presence of weak and strong ligands. The 'spin only' magnetic moments of these complexes with weak and strong ligands, respectively, are

The chemical formula of mineral beryl is

Arrange the following electrolytes in the increasing order of van't Hoff factor (i) for complete dissociation of solute.
A. \(\left[ Co \left( NH _3\right)_6\right] Cl _3\)
B. \(MgCl _2\)
C. \(K _4\left[ Fe ( CN )_6\right]\)
D. KCl
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Molar conductivity \(\Lambda_m^0\)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, \(\Lambda_m\) 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, they value of \(\Lambda_m^0\) for an electrolyte is \(\Lambda_m^0=\nu_{+} \lambda_{+}^0+\nu_{-} \lambda_{-}^0\), 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 molar conductance values of Ca²⁺ and Cl^- at infinite dilution are, respectively, 118.8 × 10^-4 ohm^-1 m² mol^-1 and 77.33 × 10^-4 ohm^-1 m² mol^-1, then the molar conductance of CaCl₂ at infinite dilution will be :

Which of the following hormone is released by pancreas and regulates body metabolic pathway?

Match List-I with List-II

List - I (Name of compound)	List - II (Structure)
(A). Resorcinol	(I)
(B). Catechol	(II)
(C). Hydroquinone	(III)
(D). p-Cresol	(IV)

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Frequencies in the UHF range normally propagate by means of :

Read the passage and answer the question : There are thousands of varieties of rice in India alone. The diversity of rice in India is one of the richest in the world. Basmati rice is distinct for its unique aroma and flavour and 27 documented varieties of Basmati are grown in India. There is reference to Basmati in ancient texts, folklore and poetry, as it has been grown for centuries. Several attempts have also been made to patent uses, products and processes based on Indian traditional herbal medicine, e.g. turmeric, neem. There has been growing realisation of the injustice, inadequate compensation and benefit sharing between developed and developing countries. The Indian Parliament has recently cleared a Bill that takes such issues into consideration, including patent terms emergency provisions and research and development initiative.
Identify the statements explaining biopracy
(A) Unauthorised exploitation of bio-resoures of a country
(B) Adequate compensation is given to one country from where bioresource is taken
(C) Exploitation of traditional knowledge to develop modern applications
(D) Equal benefit sharing between developed and developing nations
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The inverse of the matrix \(\left[\begin{array}{cc}5 & 11 \\ 1 & 2\end{array}\right]\) is:

If \(A=\left[\begin{array}{ll}3 & -2 \\ 4 & -2\end{array}\right], \quad I=\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right]\) and \(A^2=K A-2 I\), then the value of \(K\) is

The quantity of charge required to obtain \(2\text{ mol}\) of \(\text{Mn}^{2+}\) from \(\text{MnO}_4^{-}\) is:

Which of the following is/are not the factor(s) causing the poor health of a person?
(A) Genetic disorders
(B) Infections
(C) Intake of unbalanced diet and un-clean water
(D) Having good eating habits
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