A graph is plotted between \(\text{ln}\ k\) and \(\frac{1}{T}\). What is the value of slope?

If the concentration of a reactant is reduced to half, the rate of reaction becomes \(\frac{1}{4}\). What will be the order of reaction?

Process of sone reflning is used in the purification of

The correct order of increasing acidic strength is
(A) Ethanol
(B) Phenol
(C) Chloroacetic acid
(D) Acetic acid
Choose the correct answer from the options given below:

Read the passage carefully and answer the questions
Carbohydrates are naturally formed organic compounds from various plants. The common chemical formula, \(C _x\left( H _2 O \right)_y\), was considered as hydrates of carbon to derive the various carbohydrates. For instance, the general formula for glucose ( \(C _6 H _{12} O _6\) ) easily fits into the above formula. Carbohydrates also called saccharides are classified on the basis of their behavior towards hydrolysis. Monosaccharides cannot be hydrolyzed further to simpler units of polyhydroxy aldehyde or ketones. About 20 monosaccharides are known to occur in nature. Carbohydrates that yield large number of monosaccharide units are called polysaccharides. Amino acids contain ( \(- NH _2\) ) and ( - COOH ), which can be classified in various forms. Proteins are polymers of alpha amino acids which are connected to each other by a peptide bond or peptide linkage. When a native protein is subjected to physical change, its globules unfold and helix get uncoiled and the protein loses its biological activity. The protein is said to be denaturated.
The peptide linkage formed between the reaction of glycine and alanine is represented as

\(0.1\) M aqueous solution of the following salts were prepared. Their conductivity values were measured at \(25\circ C\). Which of the following will possess least conductivity at \(25\circ C\)?

It was found that \(0.1 mol L ^{-1}\) of ammonia took 200 s to be decomposed to half the initial concentration. If the decomposition follows zero order reaction, then the rate constant is

The type of pollination which brings genetically different types of pollen grains to the stigma is -

Which of the following statements are incorrect with respect to nucleotides ?
(A) Purines and pyrimidines are nitrogenous bases.
(B) Nucleotides and nucleosides are same.
(C) Phosphate group is linked to - OH of 5' C of a nucleoside through phosphoester linkage.
(D) In RNA, every nucleotide residue has an additional - OH group present at 3' position in the ribose.
(E) Thymine is an example of Pyrimidine.
Choose the correct answer from the options given below :

In the given circuit when steady current flows, the potential drop across the capacitor is:

Match List I with List II

LIST I	LIST II
A. \(\int \sin x \cos x d x\)	I. \(\log _e\left(1+\sin ^2 x\right)+C\)
B. \(\int \frac{d x}{\sin ^2 x \cos ^2 x}\)	II. \(\tan \frac{x}{2}+C\)
C. \(\int \frac{\sin 2 x}{1+\sin ^2 x} d x\)	III. \(-\frac{1}{4} \cos 2 x+C\)
D. \(\int(1-\cos x)\operatorname{cosec}^2 x d x\)	IV. \(\tan x-\cot x+C\)

Large Identify "Y" in the following reaction:
\(R-Mg-X+CO_2 \xrightarrow{\text { Dry ether }} X \xrightarrow{H_3 O^{+}} Y\)
The options for \(Y\) are:

Area of a rectangle having vertices \(P, Q, R\) and \(S\) with position vectors \(-\hat{i}+\frac{1}{2} \hat{j}+4 \hat{k}, \hat{i}+\frac{1}{2} \hat{j}+4 \hat{k}, \hat{i}-\frac{1}{2} \hat{j}+4 \hat{k}\) and \(-\hat{i}-\frac{1}{2} \hat{j}+4 \hat{k}\) respectively is :