\(CH_3CH_2COCH_3 \xrightarrow{Y} CH_3CH_2CH_2CH_3\) The reagent Y is:

Match List - I with List - II.

List - I	List - II
(A) Oxalic acid	(I) Hexane-1,6-dioic acid
(B) Acetophenone	(II)Ethane-1,2-dioic acid
(C) Phthalic acid	(III) Benzene-1,2-dicarboxylic acid
(D) Adipic acid	(IV) \(\Delta T_b=k_b m\)

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Limiting molar conductivity of \(H_2O\) is equal to :

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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 \((nd)\) in hybridisation (like \(sp^3d^2\)), 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.
Which of the following complex has the highest magnetic moment?

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When a metal is placed in a solution of its ions, the metal can lose electron and can go in the solution as ion or the metal ion in the solution can take electron from the electrode and get deposited as metal. Thus, the electrode acquires either positive or negative charge with respect to the solution leading to the development of a potential difference between the metal electrode and the solution. This potential difference is called the electrode potential of the metal. The electrode potential of a metal is a measure of relative tendency to undergo oxidation (loss of electron) or reduction (gain of electron). When the concentration of the ions in the solution is unity, the electrode potential is called standard electrode potential. The magni of potential depends upon the nature of electrode, concentration of ions in solution and the temperature. In a galvanic cell, the electrode at which oxidation occurs is known as anodic half-cell and the electrode at which reduction occurs is known as cathodic half cell. The emf of the cell in terms of standard reduction potential is given by \(E_{\text {cell }}^{\circ}=E_{\text {cathode }}^{\circ}-E_{\text {anode. }}^{\circ}\).The standard free energy change of the redox reaction taking place in the cell is related to \(E_{\text {cell }}^{\circ}\) by \(\Delta G^{\circ}=-n F E^{\circ}\). A redox reaction would occur spontaneously if the free energy change is negative. The equilibrium constant of the reaction is related to the standard free energy change by \(\Delta G^{\circ}=-R T \ln K\).
The equillibrium constant of a feasible cell reaction is

An element has a cubic close packing (ccp) structure with an edge length 297 pm . The density of mass \(=107.9 g / mol\).)
the element is (Given molar mass = \(107.9 g / mol\).)

Which metal has the highest oxidation state in the first row transition series?

Let \(\vec{a}=\hat{i}+2 \hat{j}+3 \hat{k}, \vec{b}=-\hat{i}+2 \hat{j}+\hat{k}, \vec{c}=3 \hat{i}+\hat{j}\) be three vectors. If \((\vec{a}+\lambda \vec{b})\) is perpendicular to \(\vec{c}\), then the value of \(\lambda\) is

Match List-I with List-II

List-I (Contraceptive methods)	List-II (Examples)
(A) Non-medicated IUD	(I) LNG-20
(B) Hormone releasing IUD	(II) Multiload 375
(C) Copper releasing IUD	(III) Vaults
(D) Barrier method	(IV) Lippes loop

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In a single slit experiment, a diffraction pattern is obtained on the screen for yellow light. What will be the effect on the diffraction pattern, if yellow light is replaced by X-rays?

The following statements are made on the basis of given graph.
(A) OB represents the cost function.
(B) MA represents the cost function.
(C) Loss occurs at x = 5.
(D) Loss occurs at x = 15.
(E) Profit occurs at x = 10.

If \(A\) is a non-singular matrix of order 3 such that \(|\operatorname{adj}(A)|=121\), then \(\left|A A^T\right|\) is equal to :

Consider the following data:

Year (x)	2004	2005	2006	2007	2008	2009	2010
Profit (₹) (y)	114	130	126	144	138	156	164

The equation of straight line trend by using least square method is, y =138.86 + 7.64 (x - 2007), then the trend values for the year 2004 is