Rate of physisorption increases with:

Reaction of \(C _6 H _5 CH _2 Br\) with aqueous sodium hydroxide follows preferably:

Select the correct relation between the electrochemical cell and Gibbs free energy for the following reaction
\(Zn (s)+ Cu ^{2+}(a q) \rightarrow Zn ^{2+}(a q)+ Cu (s)\)

Read the passage carefully and answer the Questions:
Amines are classified as primary \(\left(1^{\circ}\right)\), secondary \(\left(2^{\circ}\right)\) and tertiary \(\left(3^{\circ}\right)\) depending upon the number of hydrogen atoms replaced by alkyl or aryl groups in ammonia molecules. Aliphatic amines are a stronger bases due to \(+I\) effect of an alkyl groups. Intermolecular hydrogen bonding in primary and secondary amines affects the boiling points of amines. The intermolecular association is more in primary amines than in secondary amines as there are more number of hydrogen atoms available for hydrogen bond formation. Nitro compounds are reduced to amines by passing hydrogen gas in the presence of finely divided nickel, palladium or platinum and also by reduction with metals in an acidic medium. Gabriel synthesis is used for the preparation of primary amines. Primary amines react with nitrous acid to give unstable diazonium-salts which can be used to synthesize a variety of compounds.
The compound having the highest boiling point is:

Propene on addition with bromine in CCl4 gives

The decomposition of \(H _2 O _2\) in alkaline medium, in presence of \(I ^{-}\)ions occurs as follows :
\(2 H_2 O_2 \xrightarrow{I^{-}, \text {allaline medium }} 2 H_2 O+O_2\)
If the reaction occurs in the following two steps:
Step 1: \(H _2 O _2+ I ^{-} \xrightarrow{\text { Slow }} H _2 O + IO ^{-}\)
Step 2 : \(H _2 O _2+ IO ^{-} \xrightarrow{\text { Fast }} H _2 O + I ^{-}+ O _2\)
The correct rate law expression for the reaction is :

Out of the following half cells, which two half cell combination gives the largest \(E_{\text{cell}}\text{}\) value?
(I) \(A^{3-} \rightarrow A^{2-} + e^-\text{}\) \(E^{\circ} = +1.5\text{V}\)
(II) \(B^{+} + e^- \rightarrow B\) \(E^{\circ} = -0.5\text{V}\)
(III) \(C^{2+} + e^- \rightarrow C^{+}\) \(E^{\circ} = +0.5\text{V}\)
(IV) \(D \rightarrow D^{2+} + 2e^-\text{}\) \(E^{\circ} = -1.5\text{V}\)
Choose the correct answer from the options given below:

The function \(f: R \rightarrow R\) defined as \(f(x)=x^2+2 x\) is

Read the following passage carefully and answer the given questions.
During anaerobic sludge digestion, bacteria produce a mixture of gases such as methane, hydrogen sulphide and carbon dioxide. These gases form biogas and can be used as source of energy as it is inflammable. The bioactive molecule, cyclosporin A, that is used as an immunosuppressive agent in organ-transplant patients, is produced by the fungus Trichoderma polysporum. You must have noticed that bottled fruit juices bought from the market are clearer as compared to those made at home. This is because the bottled juices are clarified by the use of pectinases and proteases. Statins produced by the yeast Monascus purpureus have been commercialised as blood-cholesterol lowering agents. It acts by competitively inhibiting the enzyme responsible for synthesis of cholesterol. The BOD test measures the rate of uptake of oxygen by micro-organisms in a sample of water and thus, indirectly, BOD is a measure of the organic matter present in the water.
During anaerobic sludge digestion, bacteria produce the biogas. The composition of this biogas is -

What is the mathematical expression for potential gradient?

If \(A\) and \(B\) are non singular square matrices of the same order,
then which of the statements are true ?
(A) \((\operatorname{adj} A)(\operatorname{adj} B)=(\operatorname{adj} B)(\operatorname{adj} A)\)
(B) \((A B)^T=A^T B^T\), if \(A^T\) denotes transpose of \(A\)
(C) \((A B)^{-1}=B^{-1} A^{-1}\)
(D) Multiplication of matrices is not commutative

Which of the following statements related to Wheatstone Bridge are correct?
(A).The bridge is most sensitive when all the four resistances are of the same order
(B). The internal resistance of the cell and the resistance of the galvanometer affect the null point
(C). It does not involve measurement of current and potential difference
(D).Resistances of ammeters and voltmeters do not affect the measurements
Choose the correct answer from the options given below:

The process of cutting out of DNA fragments from agarose gel and their extraction from gel piece is known as: