Indium is mainly refined by :

Calculate the spin only magnetic moment of a \(Ni ^{2+}\) in \(\left[ Ni ( CN )_4\right]^{2-}\) (atomic number of Ni is 28 ).

The synthesis of alkyl fluoride is best achieved through

What types of bond (linkage) are present in nucleotide?

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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

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Aldehydes, carboxylic acids and ketones are widespread in the animal and plant kingdoms.
They play a pivotal role in various biochemical processes of life. Their presence in nature adds fragrance and flavor. These compounds are widely used in food products, pharmaceuticals, paints, resins and other important product industries. These compounds are prepared by various laboratory methods, which mainly include oxidation, formylation, acylation and reduction. Due to the polar nature of the carbonyl group in aldehydes and ketones, they can exhibit different reactions like nucleophilic addition. They do exhibit redox and various condensation reactions which lead to the formation of various important compounds. On the other hand, the carboxylic acids are mainly prepared by oxidation and hydrolysis of different compounds. The carboxylic acid consists of a carbonyl group and the hydroxy group (attached to the carbonyl carbon atom). This makes it possible for the carboxylic acid to participate in various chemical reactions which involve cleavage of the C-OH bond and the O_H bond along with the reactions involving the complete -COOH group.
Propyne on hydration in presence of mercury ions produce

1 mole of a symmetrical alkene on ozonolysis gives 2 moles of an aldehyde with molecular mass 44w. The alkene is

The curve \(y = f ( x )\) is normal probability curve, then which of the following statements are correct?
(A) mean, median and mode of the distribution coincide.
(B) the area bounded by the curve \(y = f ( x )\) and \(x\)-axis is one unit.
(C) The curve is symmetrical about the line \(x =\mu\), where \(\mu\) is the mean.
(D) y -axis is an asymptote to the curve.
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An electromagnetic wave moves in vacuum. Its speed is c. Choose the correct options about the characteristics of electromagnetic waves:
(A) \( c = \frac{1}{\sqrt{\mu_0 \epsilon_0}} \)
(B) Electromagnetic waves are transverse in nature.
(C) Both the electric field and magnetic field vibrate perpendicular to the direction of propagation of waves
(D) Electromagnetic waves are longitudinal in nature.
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The figure shows a current loop having two circular arcs joined by two radial lines. If radius OA is 'a' and OD is 'b', the magnetic field at the centre O is.

Which of the following statements are correct?
(A) Magnetic susceptibility is defined as ratio of Intensity of magnetisation to magnetic field intensity.
(B) Magnetic susceptibility is a ratio of similar quantities therefore has no unit.
(C) The value of magnetic susceptibility for vacuum is one.
(D) Greater is the value of intensity of magnetisation, smaller is the value of susceptibility.
(E) Smaller is the value of magnetic field intensity, smaller is value of susceptibility.
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The area (in sq.units) of the region enclosed by the curve \(y = cos\) \(x\), \(-\frac{\pi}{2} \leq x \leq \frac{\pi}{2}\) and the \(x\) - axis is:

A. General solution of \(\frac{d y}{d x}=\frac{1+y^2}{1+x^2}\) is \(\tan ^{-1} y=\tan ^{-1} x+c\); Where c is a constant
B. General solution of \(\frac{d y}{d x}+\frac{\sqrt{1-y^2}}{\sqrt{1-x^2}}=0\) is \(\sin ^{-1} y-\sin ^{-1} x=c\); Where c is a constant
C. General solution of \(\frac{y d x-x d y}{y}=0\) is \(y=c x\); Where c is a constant
D. General solution of \(\frac{d y}{d x}=e^{x+y}\) is \(e^x+e^y=c\); Where c is a constant
E. \(\left(x^2+x y\right) d y=\left(x^2+y^2\right) d x\) is a homogeneous differential equation
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