Match List-I and List-II

List-I	List-II
A. Elementary reactions	I. No energy of activation
B. Complex reactions	II. Single step
C. Free radical combination	III. High energy of activation
D. Slow reactions	IV. Several elementary steps

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The reagents used for dehydration of alcohols are:
(A) Concentrated \(H _2 SO _4\)
(B) Phosphoric acid
(C) Alumina
(D) Anhydrous \(ZnCl _2\)
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Arrange the following compounds in increasing order of their acidic strength ?

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Carbohydrates such as cane sugar, glucose, starch etc. belong to a class of naturally occurring organic compounds. Structurally these are polyhydroxy aldehydes or ketones or the compounds which produce such units on hydrolysis. Carbohydrates which are sweet in taste are called sugars. Theses sugars can be reducing or non-reducing. Monosaccharides cannot be hydrolyzed to simpler units whereas Oligosaccharides yield two to ten monosaccharide units on hydrolysis. Polysaccharides yield large number of monosaccharide units on hydrolysis. This class of biomolecules is essential for living systems as they serve as storage molecules in plants and animals. In addition, they provide raw materials for important industries like furniture, textiles, paper, lacquers and breweries. Two aldopentose form important constituents of nucleic acids. Carbohydrates are also called saccharides (Greek: sakcharon which means sugar). Sugar which is used in household and in milk also comes under this class of biomolecules.
Which of the following is incorrect for glucose?

Match List I with List II

LIST I	LIST II
A. Buna-S	I. Polyamide
B. Nylon 6,6	II. Homopolymer
C. Polythene	III. Terepthalic acid,ethylene glycol
D. Terylene	IV. Copolymer

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\(KMnO _4\) is prepared by the fusion of \(MnO _2\) with an alkali metal hydroxide and an oxidizing agent like \(KNO _3\) to give a dark-green manganate ion which disproportionate to give permanganate as follows.
\(\begin{array}{l}2 MnO _2+4 KOH + O _2 \rightarrow 2 K_2 MnO _4+2 H _2 O \\ 3 K_2 MnO _4+4 H ^{+} \rightarrow 2 KMnO _4+ MnO _2+2 H _2 O \end{array}\)
On heating \(K _2 MnO _4\) decomposes at 513 K to give \(K _2 MnO _4\). Permanganate ion is tetrahedral and diamagnetic
Acidified \(KMnO _4\) acts a strong oxidizing agent which oxidizes oxalic acid, ferrous ions, nitrite ion and iodides.
Reaction of iodide ion \(\left( I ^{-}\right)\)with \(KMnO _4\) will.....

Which among the following is not a broad spectrum antibiotic?

The shortest distance between the lines \(\vec{r}=(\hat{i}+2 \hat{j}+3 \hat{k})+\lambda(2 \hat{i}+3 \hat{j}+4 \hat{k})\) and \(\vec{r}=(2 \hat{i}+4 \hat{j}+5 \hat{k})+\mu(4 \hat{i}+6 \hat{j}+8 \hat{k})\) is equal to

Match List I with List II

LIST I (Devices)	LIST II (Working Priciple)
A. Transformer	I. Wheatstone Bridge
B. Meter Bridge	II. Electromagnetic Induction
C. Moving Coil Galvanometer	III. Mutual Induction
D. A.C Generator	IV. Torque on a current carrying coil

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Match List-I With List-II

LISt – I (Material)	LIST – II (Values)
(A) Gold	(I) \(4.5 \times 10^3\)
(B) Glass	(II) \(3.5 \times 10^{-5}\)
(C) Silicon	(III) \(1.0 \times 10^{-16}\)
(D) Pure water	(IV) \(1.5 \times 10^{-2}\)

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Which of the following are normal equations to fit a straight line trend \(y=a+b x\) by the method of least squares?

A and B are two sets such that n(A) = 5 and n(B) = 7. The number of one-one functions from A to B is

Tropics have greater biodiversity because: