Arrange the following oxidation states in increasing order
(A) characteristic oxidation state of lanthanoids
(B) most stable oxidation state of Mn in its oxides
(C) most stable oxidation state of Mn
(D) oxidation state of Mn in \(MnO ^2\)
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Which of the following statements is correct for enantiomers?
(A) They exist as a pair of non-superimposable mirror images.
(B) They possess identical physical properties.
(C) They differ with respect to the rotation of plane polarized light.
(D) A mixture containing a 1:1 ratio of enantiomers is optically inactive.
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Among the following, which is the correct set of reducing agents for conversion of nitrobenzene into aniline?
(A) \(H _2 / Pd\)
(B) \(Sn + HCl\)
(C) \(Fe + HCl\)
(D) \(NaBH _4\)
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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 measured potential for
\(A g ^{+}+ e ^{-} \rightarrow A g ( s )\)
does not change with

The amount of urea required to make a 500 mL solution of 0.25 molarity is
(Molar mass of Urea \(=60 g mol ^{-1}\) )

Read the passage carefully and answer the questions
Amines are considered as derivatives of ammonia obtained by replacement of hydrogen atoms with alkyl or aryl groups. In nature they occur among proteins, vitamins, alkaloids and hormones. These can be primary, secondary or tertiary depending on the number of hydrogen groups replaced. They can be prepared from nitro compounds, alkyl halides, nitriles, amides etc. Due to unshared pair of electrons they behave as Lewis bases. Influence of the number of hydrogen atoms at nitrogen atom is displayed in physical properties such as solubility, boiling point and chemical reactions including basicity. Basic character of amines is expressed in terms of their \(K_b\) and \(p K_b\) values. Three classes of amines can be distinguished with p-toluene sulphonyl chloride which reacts with primary and secondary ddu amines. Amino group when attached to benzene ring behaves as an activating and ortho para directing group.
Which of the following is a tertiary amine?

Among the following compounds, which will not undergo oxidation reaction?

Conversion of molecule X to Y follows second order kinetics. If concentration of X is increased to three times how will it affect the rate of formation of Y?

The semi vertical angle of a right circular cone of maximum volume of a given slant height is

Copying genetic information from one strand of DNA into mRNA is:

Arrange the following steps \(( A , B , C\) and D \()\) in proper sequence to determine the index correction in the given arrangement.

(A) The difference between the two gives the correction to be applied to the observed distance.
(B) The positions of the uprights are read on the scale. Their difference gives the observed distance between tip of the pin and the pole of the mirror.
(C) A thin straight index needle OP is placed so that its one end O touches the tip of the pin and the other end P touches the pole of the mirror.
(D) Length of the needle OP is measured by placing it on the scale which is the actual distance between the points in question.
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For \(y=x e^x\), which of the following is correct ?

Using monochromatic light for diffraction in a single slit of width 0.1 mm, with a central maximum of 5 mm width on a screen 50 cm away, the wavelength of light used is :