n-Hexane is obtained when glucose is

Which of the following statement(s) is/are correct with reference to electrophilic aromatic substitution of \(\text{C}_6\text{H}_5\text{Cl}\)?
(A) Cl acts as an activating and o/p directing group
(B) Cl acts as a deactivating and o/p directing group
(C) acts as an activating and m directing group
(D) Cl acts as a deactivating and m directing group
(E) Presence of \(\text{NO}_2\) at p-position facilitates the reactions
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The chemical reactions proceed at different rates which depend on various factors like concentration, temperature, etc. Rate law is an expression which relates the rate of reaction with concentration of various reacting species in the reaction. For a first order reaction, the concentration of the reactant after time \(t\) is related with its initial concentration by the relation, \(C=C_0 e^{-k t}\). The rate constants for different orders have different expressions. For a first order reaction, \(k=\frac{2.303}{t} \log \frac{a}{a-x}\), where \(a\) is the initial concentration and \(x\) is the extent of reaction.
A first order reaction is one-fifth completed in 40 minutes. Calculate the time required for its 100 % completion

Adsorption is surface phenomenon and it differs from absorption which occurs throughout the body of the substance which absorbs. In physisorption the attractive forces are mainly van der Waal forces while in chemisorption actual bonding occurs between the particles of adsorbent and adsorbed more easily on the surface of a solid as compared to the gases which are liquified with difficulty. Adsorption increases with the increases in pressure and decreases as temperature is increased.According to adsorption theory of catalysis, the speed of the reaction increases because

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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:

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Proteins are the polymers of about twenty different a-amino acids which are linked by peptide bonds. Proteins perform various structural and dynamic functions in the organisms. Proteins which contain only a-amino acids are called simple proteins. The secondary or tertiary structure of proteins get disturbed on change of pH or temperature and they are not able to perform their functions. This is called denaturation of proteins. Enzymes are biocatalysts which speed up the reactions in biosystems. Vitamins are accessory food factors required in the diet. They are classified as fat soluble (A, D, E and K) and water soluble (B group and C). Deficiency of vitamins leads to many diseases. Nucleic acids are the polymers of nucleotides which in turn consist of a base, a pentose sugar and phosphate moiety. Nucleic acids are responsible for the transfer of characters from parents to offsprings. There are two types of nucleic acids DNA and RNA. DNA contains a five carbon sugar molecule called 2-deoxyribose whereas RNA contains ribose.
Which of the following is an essential amino acid?

Which of the following will exhibit only +3 oxidation state?

If \(A=\left[\begin{array}{ccc}2 & -1 & -2 \\ 0 & 2 & -1 \\ 3 & -5 & 0\end{array}\right]\), then the value of \(\operatorname{det}(\operatorname{adj}(2 A))\) is :

Find the odd one out among the following structures?

The speed of water current is half the speed of a motor boat.
The motor boat travels 15 km downstream in 1 hour.
Then the time taken to return to the starting point is:

Match List-l with List-ll

List-l	List-II
(A) \(\lim _{x \rightarrow 0} \frac{1-\cos 2 x}{x}\)	(I) \(\frac{5}{2}\)
(B) \(\lim _{x \rightarrow 0} \frac{\sin 2 x}{x}\)	(II) 5
(C) \(\lim _{x \rightarrow 1} \frac{x^5-1}{x^2-1}\)	(III) 2
(D) \(\lim _{x \rightarrow 0} \frac{(x+1)^5-1}{x}\)	(IV) 0

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If A is a square matrix of order \(3 \times 3\) and \(\left|A^T\right|=-3\), then \(\left|A A^T\right|\) is equal to

An alkyl halide with molecular formula \(\text{C}_5\text{H}_{11}\text{Br}\) on dehydrohalogenation give two isomeric alkenes X and Y with formula \(\text{C}_5\text{H}_{10}\). On reductive ozonolysis X and Y gave four compounds: \(\text{CH}_3\text{CHO}\) (ethanal), \(\text{CH}_3\text{COCH}_3\) (propanone), \((\text{CH}_3)_2\text{CHCHO}\) (3-methylbutanal), and \(\text{HCHO}\) (methanal). The alkyl halide is: