Match the properties given in List-I with the metals given in List-II

List-I (Property)	List-II (Metal)
(A) 3d series element with highest melting point	(I) Os
(B) element which can show +8 oxidation state	(II) Fe
(C) 3d series element with largest number of oxidation states	(III) Cr
(D) constituent of Mischmetall	(IV) Mn

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\(\text{T.N.T}\) is chemically known as:

Complete the following reaction.
\(\left( C _6 H _{10} O _5\right)_n+n H _2 O \xrightarrow[393 K, 2-3 atm]{ H ^{+}} ?\)

Match List - I (reagent) with List - II (Transformations)

List - I (Reducing Agent)	List - II (Transformations)
(A) Sodium Borohydride	(I) Aldehyde to alkane
(B) \(SnCl _2\) and HCl	(II) aldehydes to Primary alcohols
(C) Zn-Hg and conc. HCl	(III) Nitriles to Imine
(D) DIBAL-H	(IV) Ester to aldehyde

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Choose the correct statement/statements for Cannizaro reaction.
A. Takes place in aldehydes and ketones having absence of \(\alpha\)-hydrogen
B. Takes place in aldehydes having absence of \(\alpha\)-hydrogen
C. It is a disproportionation reaction
D. Get a mixture of carboxylic acid salt and ethers
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The expression for calculating half life for a radioactive decay is :

Read the passage carefully and answer the following questions
There are mainly four series of the transition metals, \(3 d\) series ( \(S c\) to Zn), 4d series (Y to Cd), \(5 d\) series ( La and Hf to Hg ) and 6 d series which has \(A c\) and elements from \(R f\) to \(C n\). The two series of the inner transition metals; \(4 f\) (Ce to Lu) and \(5 f\) (Th to Lr) are known as lanthanoids and actinoids respectively. Their chemical properties are transitional between those of \(s\) and \(p\)-block elements. The transition metals (with the exception of Zn, Cd and Hg) are very hard and have low volatility. Their melting and boiling points are high. Transition metals have incomplete d subshell either in neutral atom or in their ions. With partly filled d orbitals these elements exhibit certain characteristic properties such as display of a variety of oxidation states, formation of coloured ions and entering into complex formation with a variety of ligands. The transition metals and their compounds are known for their catalytic activity.
Which of the following is not regarded as transition metal?

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Alcohols and phenols are formed when a hydrogen atom in a hydrocarbon, aliphatic and aromatic respectively is replaced by -OH group. These are further classified on the basis of number of hydroxy groups and according to the hybridization of the carbon atom \(sp ^2\) or \(sp ^3\) to which the -OH group is attached. They find applications in industry as well as in day-to-day life. One of the most commercially obtained alcohol also known as wood spirit is obtained by destructive distillation of wood. Both alcohols and phenols are acidic in nature. The acidity of alcohols and phenols vary according to the nature of substituent(s) attached to them. Alcohols and phenols react with carboxylic acids, acid chlorides and acid anhydrides to form esters. Introduction of acetyl group in alcohols and phenols is called acetylation. Phenol undergo electrophilic aromatic substitution reaction because the -OH activates the benzene ring. It undergoes nitration, halogenation and sulphonation reactions.
When phenol is treated with concentrated sulphuric acid, then it gets converted into phenol-2,4-disulphonic acid \(( X )\). On further treatment of X with conc. nitric acid, product Y is formed. Identify Y .

\(\int_{\frac{\pi}{6}}^{\frac{\pi}{3}} \frac{d x}{1+\sqrt{\tan x}}\) is equal to:

The biodiversity is ______ at lower altitudes and ______ with increasing higher latitudes.

"Answer the question on basis of passage given below:
\(G = \frac{\kappa A}{l}\) = k (both \(A\) and \(l\) are unity in their appropriate units in m or cm)
Molar conductivity of a solution at a given concentration is the conductance of the volume \(V\) of solution containing one mole of electrolyte kept between two electrodes with area of cross section \(A\) and distance of unit length (\(l\)). Therefore,
\(\Lambda_m = \frac{\kappa A}{l}\)
Since \(l = 1\) and \(A = V\) (volume containing 1 mole of electrolyte),
\(\Lambda_m = \kappa V\)
What does \(\kappa\) represent in the paragraph?"

A. The domain of \(\sin ^{-1} x\) is \(\left[-\frac{\pi}{2}, \frac{\pi}{2}\right]\)
B. The range of \(\operatorname{cosec}^{-1} x\) is \(\left[-\frac{\pi}{2}, \frac{\pi}{2}\right]-\{0\}\)
C. The domain of \(\sec ^{-1} x\) is \([0, \pi]-\left\{\frac{\pi}{2}\right\}\)
D. The range of \(\cot ^{-1} x\) is \((0, \pi)\)
E. The range of \(\tan ^{-1} x\) is \(\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)\)
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Match List I with List II

LIST - I	LIST - II
A. \(\left( CH _3\right)_3 N, CH _3 CH _2 CH _2 NH _2\)	I. Tollen's test
B. \(HCOOH , CH _3 COOH\)	II. Lucas test
C. \(CH _3- C (= O )- CH _2- CH _2- CH _3, CH _3- CH _2- C (= O )- CH _2-CH _3\)	III. Carbylamine test
D. \(CH _3- CH _2- CH _2- CH _2- OH , CH _3- C \left( CH _3\right)( OH )- CH _3\)	IV. lodoform test

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