The expression for calculating half life for a radioactive decay is :

Correct order of the following acids in order of their increasing acidic strength is
(A) \(CCl _3 COOH\)
(B) \(ClCH _2 COOH\)
(C) \(CH _3 COOH\)
(D) \(CHCl _2 COOH\)
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Reaction of phenol with chloroform in the presence of sodium hydroxide gives salicylaldehyde. The reaction is known as

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Optically active polyhydroxy aldehydes or ketones or molecules which provide such units on hydrolysis are called carbohydrates. They can be broadly classified as monosaccharides, disaccharides and polysaccharides depending on their behavior towards hydrolysis. They are also classified as reducing or non-reducing sugars. Another class of biomolecules is proteins which are polymers of twenty different amino acids linked by peptide bonds. Amino acids can be classified as acidic, basic or neutral depending on the relative number of amino and carboxyl groups in their molecule. The essential amino acids cannot be synthesized by our body and hence must be provided through diet. Nucleic acids are the polymers of nucleotides which in turn consist of a base, pentose sugar and phosphate. There are two types of nucleic acids namely, DNA and RNA which differ in the composition of sugar and a base.
Four bases present in RNA molecule are:

Which of the following material is a semiconductor?

Match the compounds given in List-I with the oxidation state of cobalt present in it given in

List-l (Compound)	List-II (Oxidation state of cobalt)
(A) \(\left[ Co ( NCS )\left( NH _3\right)_5\right]\left( SO _3\right)\)	(I) +3
(B) \(\left[ Co \left( NH _3\right)_4 Cl _2\right] SO _4\)	(II) +2
(C) \(Na _4\left[ Co \left( S _2 O _3\right)_3\right]\)	(III) \(0\)
(D) \(Co _2( CO )_8\)	(IV) \(+4\)

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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.
The quantity k in a rate law expression is

The amines which are soluble in water:
(A) Methanamine
(B) Ethanamine
(C) Propanamine
(D) Benzylamine
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Identify the statements which hold true for cancer
(A) Cancerous cells do not show contact inhibition
(B) Chemotherapeutic drugs are used to kill cancerous cells
(C) Benign tumors can reach distant sites through blood
(D) Non-ionising radiations can also cause cancer
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The higher stability of metal carbonyls is very evident on the basis of spectrochemical series. Identify the incorrect statement(s) about metal carbonyls.
A. The metal-carbon bond has both \(\sigma\) and \(\pi\) characters.
B. Metal-carbon \(\sigma\) bond is formed by donation of lone pair of electrons on carbonyl carbon into vacant \(d\)-orbital of metal.
C. Metal-ligand bond has synergic effect.
D. Transition metals never have zero oxidation state in carbonyls.
E. Metal-carbon \(\pi\) bond is formed by donation of electrons from antibonding molecular orbital of CO to metal.
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Aldehydes and ketones are important organic compounds prepared mainly by oxidation of alcohols. Primary alcohols give aldehyde and secondary alcohols yield ketones. Aldehydes can also be formed by partial reduction of acid chlorides, reduction
of esters or by Gattermann-Koch reaction. Ketones are prepared by Friedel-Craft's acylation, hydration of alkyne and reaction of Grignard's reagent with nitriles. Chemically, aldehydes and ketones are reactive in nature due to the carbonyl group and undergo nucleophilic addition reactions. Aldehydes are more reactive than ketones and can be oxidized to carboxylic acids, while both can be reduced to alcohols or hydrocarbons and exhibit condensation reaction.
Hydration of propyne in the presence of \(H _2 SO _4\) and \(HgSO _4\) gives

If x, y \(\in R\) then match List - I with List - II

List - I	List - II
(A) \(|x|<|y|\)	(I) iff \(x^2>y^2\)
(B) \(|x|>|y|\)	(II) iff \(x^2 \leq y^2\)
(C) \(|x| \leq |y|\)	(III) iff \(x^2<y^2\)
(D) \(|x| \geq |y|\)	(IV) iff \(x^2 \geq y^2\)

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Which one of the following is not an example of narrowly utilitarian reason to conserve biodiversity?