Read the Passage carefully and answer the Questions
Kinetic studies not only help us to determine the rate of a chemical reaction but also describe the conditions by which the reaction rates can be altered. The factors such as concentration, temperature, pressure and catalyst affect the rate of a reaction. The speed of a reaction or the rate of a reaction can be defined as the change in concentration of a reactant or product in unit time.
Rate \(= \text{k}[\text{A}]^x [\text{B}]^y\)
Here k is the rate constant
\(x + y\) gives the overall order of a reaction, whereas \(x\) and \(y\) represent the order with respect to the reactants A and B, respectively.
Which of the following statements are correct?
(A) Catalysts increase the rate of a chemical reaction.
(B) Catalysts can catalyze both spontaneous and non-spontaneous reactions.
(C) Higher the activation energy for a chemical reaction, lower is the rate of the reaction.
(D) Catalyst increases the potential energy barrier.
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Match the wavelength of light absorbed given in List-l with the color of light absorbed in List-ll

List-l(Wavelength of light absorbed(nm))	List-lI(Colour of light absorbed)
(A) 535	(I) Yellow
(B) 475	(II) Red
(C) 600	(III) Blue
(D) 498	(IV) Blue Green

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Yellow colour in NaCl is due to

Match List I with List II

LIST - I (compound)	LIST - II (Hybridization & Geometry)
A. \(X e F_6\)	I. \(sp^3d^3 \text{ distorted octahedral}\)
B. \(XeO _3\)	II. \(sp^3d^2 \text{ square planar}\)
C. \(X e O F_4\)	III. \(sp^3\text{ pyramidal }\)
D. \(X e F_4\)	IV. \(sp^3d^2 \text{ square pyramidal}\)

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Match List - I with List - II

List - I	List - II
(A) Chloroxylenol + terpineol	(I) Antiseptic
(B) Penicillin	(II) Antibiotic
(C) Iproniazid	(III) Tranquillizer
(D) Aspirin	(IV) Analgesic

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The amines which are soluble in water
(A) Methanamine
(B) Ethanamine
(C) Propanamine
(D) Benzylamine
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The standard reduction potential for \(Zn^{2+}/Zn\) is \(-0.76\) V and that for \(Fe^{2+}/Fe\) is \(-0.41\) V. The galvanic cell can be correctly represented by :

The energy of a photon of wavelength (\( \lambda \)) is given by the expression: (Symbols have their usual meaning: h = Planck's constant, c = speed of light)

The factors that affect the Hardy-Weinberg equilibrium are:
(A) Gene migration or gene flow
(B) Natural selection
(C) Mutation
(D) Genetic drift
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Using the concept of differentials,\(\sqrt{36.6}\) is approximately equal to:

If \(\alpha, \beta\) and \(\gamma\) are angle of inclinations of a line with \(x, y\) and \(z\) ares respectively, then the value of \(2(\cos 2 \alpha+\cos 2 \beta+\cos 2 \gamma)\) is

Read the passage carefully and answer the questions
Sodium dichromate \(Na _2 Cr _2 O _7\) and Potassium dichromate \(K _2 Cr _2 O _7\) are strong oxidizing agents; in acidic solution, its oxidising action can be represented as follows :
\(Cr _2 O _7^{2-}+14 H ^{+}+6 e^{-} \rightarrow 2 Cr ^{3+}+7 H _2 O \left( E ^{\circ}=1.33 V\right)\)
The chromates and dichromates are interconvertible in aqueous solution depending upon pH of the solution.
The chromate ion is tetrahedral whereas the dichromate ion consists of two tetrahedra sharing one corner with \(Cr - O - Cr\) bond angle of \(126^{\circ}\)
Potassium permanganate is prepared by fusion of \(MnO _2\) with an alkali metal hydroxide and an oxidising agent like \(KNO _3\).
This produces the dark green \(K _2 MnO _4\) which disproportionates in a neutral or acidic solution to give permanganate. It is a strong oxidizing agent. Hydrogen ion concentration of the solution plays an important part in the reduction of permanganate to manganate, manganese dioxide and manganese(II) salt.
Potassium permanganate forms dark purple (almost black) crystals which are isostructural with those of \(KClO _4\).
The salt is not very soluble in water \((6.4 g / 100 g\) of water at 293 K ), but when heated it decomposes at 513 K.
When \(KMnO _4\) is added to oxalic acid solution, the decolourisation is slow in the beginning but becomes faster after some time because

The values of \(a\) for which the function \(f(x)=a^x\) is increasing on \(R\) are given by :