Name the following reaction.
\(ArN_2^{+} X^{-} \xrightarrow{Cu / HBr} ArBr+N_2+CuX \)

oxidation states of which of the following oxides are same?
(A) \(ClO_2\): +4
(B) \(Cl_2O_3\): +3
(C) \(BrO_2\): +4
(D) \(I_2O_4\): +5
(E) \(I_2O_5\): +5
Choose the correct answer from the options given below :

Arrange the following compounds in increasing order towards Nucleophilic addition reactions:
(A) Propanal
(B) Benzaldehyde
(C) Acetone
(D) Di-tert-butyl ketone
Choose the correct answer from the options given below:

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, and pK; values. Three classes of amines can be distinguished with p-toluene sulphonyl chloride which reacts with primary and secondary mines. Amino group when ttached to benzene ring behaves as an activating and ortho para directing group.
Give the IUPAC name of the compound

Read the passage carefully and answer the Questions
\(KMnO _4\) is prepared by the fusion of \(MnO _2\) with an alkali metal hydroxide and an oxidizing agent like \(KNO _3\) to give a dark-green manganate ion which disproportionate to give permanganate as follows.
\(\begin{array}{l}2 MnO _2+4 KOH + O _2 \rightarrow 2 K_2 MnO _4+2 H _2 O \\ 3 K_2 MnO _4+4 H ^{+} \rightarrow 2 KMnO _4+ MnO _2+2 H _2 O \end{array}\)
On heating \(K _2 MnO _4\) decomposes at 513 K to give \(K _2 MnO _4\). Permanganate ion is tetrahedral and diamagnetic
Acidified \(KMnO _4\) acts a strong oxidizing agent which oxidizes oxalic acid, ferrous ions, nitrite ion and iodides.
Equivalent weight of \(KMnO _4\) in its oxidising reactions in acidic medium is taken as

Read the passage below and answer the question:
The accumulation of molecular species at the surface rather than in the bulk of a solid or liquid is termed as adsorption. There are two types of adsorption. In physisorption, attractive forces are mainly Van der Waals while in chemical adsorption adsorbate is held with chemical bonds adsorbent. Adsorption increases with increase in pressure and decreases as temperature is increased.
For Freundlich isotherm, graph of log(x/m) is plotted against logp. The slope of line and its Y axis intercepts respectively are:

Camphor in nitrogen gas is a type of solution:

If \(\vec{a}=2 \hat{j}-\hat{k}, \vec{b}=2 \hat{i}-3 \hat{j}+\hat{k}\) and \(\vec{c}=-\hat{i}+\hat{k}\) are three vectors, then the area (in sq, units) of the parallelogram whose diagonals are \((\vec{b}+\vec{c})\) and \((\vec{a}+\vec{c})\) is

The condition for observing diffraction from a single slit is that the light wavefront incident on the slit should be

The general solution of the differential equation \(\frac{d y}{d x}=-4 x y^2\) is given by

The values of x and y in \(\left[\begin{array}{l}2 x+y \\ x+2 y\end{array}\right]=\left[\begin{array}{l}4 \\ 5\end{array}\right]\) are :

If an electron and a photon have energy, then,
(A) Electrons and photons both have wavelengths
(B) Electron and photon both have momentum
(C) Both electron and photon do not have momenta
(D) The electron has energy and momentum and the photon has energy only
Choose the correct answer from the options given below:

Arrange the steps for transformation of recombinant DNA in sequence -
(A). For heat shock, bacterial cells are placed at 42°C; and then they are placed on ice.
(B). The bacterial cells must be made 'competent' to take up DNA by treating them with a specific concentration of divalent cation such as calcium.
(C). The bacteria are now able to take up the recombinant DNA.
(D). Recombinant DNA can then be forced into those cells by incubating the cells with recombinant DNA on ice.
Choose the correct answer from the options given below:(C)
(C), (B), (D), (A)