Which factors are responsible for making fluorine the strongest oxidising agent ?
(A) \quad Highest electronegativity
(B) \quad High electron gain enthalpy
(C) \quad High bond dissociation enthalpy
(D) \quad Small size of flourine
Choose the correct answer from the options given below :

The half life of decaying \({ }^{14} C\) is 6000 years approximately. How much time is needed to decaying \(80 \%\) of \({ }^{14} C ?[\log 5=0.6990]\)

Read the passage given below and answer the question.
The transition elements which give the greatest number of oxidation states occur in or near the middle of the series. Manganese, for example, exhibits all the oxidation states from +2 to +7 . The lesser number of oxidation states at extreme ends stems from either too few electrons to lose or share (Sc, Ti) on too many d-electrons (hence fewer orbitals available in which to share electrons with others) for higher valence \(( Cu , Zn )\). Thus early in the series scandium (II) is virtually unknown and titanium (IV) is more stable than Ti (III) or Ti (II). At the other end, the only oxidation state of zinc is \(+ 2\) (no d electrons are involved). The maximum oxidation states of reasonable stability correspond in value to the sum of the s - and d-electrons upto manganese ( \(Ti ^{I V} O _2, V^V O _2^{+}, Cr ^{V I} O _4^{2-}\), \(Mn ^{\text {VII }} O _4\) ) followed by a rather abrupt decrease in stability of higher oxidation states, so that the typical species to follow are \(Fe ^{I I, I I I}, Co ^{I I, I I I}, Ni ^{I I}, Cu ^{I, I I}, Zn ^{I I}\).
The variability of oxidation states, a characteristic of transition elements, arises out of incomplete filling of d-orbitals in such a way that their oxidation states differ from each other by unity, e.g. \(V ^{I I}, V^{I I I}, V^{I V}, V^V\). This is in contrast with the variability of oxidation states of non transition elements where oxidation states normally differ by a unit of two.
An interesting feature in the variability of oxidation states of the d-block elements is noticed among the groups (groups 4 through 10). Although in the p-block, the lower oxidation states are favoured by the heavier members (due to inert pair effect), the opposite is true in the groups of dblock. For example, in group 6, \(Mo ( VI )\) and \(W ( VI )\) are found to be more stable than \(Cr ( VI )\). The \(Cr ( VI )\) in the form of dichromate in acidic medium is a strong oxidising agent, whereas \(MoO _3\) and \(WO _3\) are not.
Low oxidation states are found when a complex compound has ligands capable of \(\pi\)-acceptor character in addition to the \(\sigma\)-bonding. For example, in \(Ni ( CO )_4\) and \(Fe ( CO )_5\), the oxidation state of nickel and iron is zero.
Which amongst the following is a better oxidising agent than other ?

The half-life of a first order reaction:
(A) depends on the reactant concentration raised to the first power
(B) depends on rate constant
(C) is independent of the reactant concentration
(D) is independent of rate constant
Choose the correct answer from the options given below :

Which of the following is/are not considered as transition elements?
Ag, Mo, Zn, Hg, W

Match List-I With List-II

LIST – I (Transition metal ion)	LIST – II (Property)
(A) \(Mn ^{3+}\)	(I) \(3 d^6\), green
(B) \(Fe ^{2+}\)	(II) \(3 d^4\), violet
(C) \(Ti ^{4+}\)	(III) \(3 d^0\), colourless
(D) \(V ^{2+}\)	(IV) \(3 d^3\), violet

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Activation energy of a chemical reaction can be determined by

If A is a skew-symmetric matrix of order n, then

Which of the following compounds comprise of a phenolic group?
(A) Salicylic acid
(B) Salicylaldehyde
(C) Cresol
(D) Catechol
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The value of \(\operatorname{cosec}^{-1}\left[\operatorname{cosec}\left(-\frac{\pi}{6}\right)\right]\) is :

The value of the definite integral \(\int_0^1 e^x \frac{(1-x)^2}{\left(1+x^2\right)^2} d x\) is :

The smaller area between the ellipse \(\frac{x^2}{4}+\frac{y^2}{36}=1\) and the line \(\frac{x}{2}+\frac{y}{6}=1\) is given by:

The solution X of the matrix equation AX = B, where A is an invertible matrix, is given by