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 \(=k[A]^x[B]^y\)
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.
Choose the correct answer from the options given below:

Decide which of the following atomic numbers are the atomic numbers of the inner transition elements
(A) 59
(B) 95
(C) 102
(D) 74
Choose the correct answer from the options given below:

Identify the product C in the following sequence of reactions.
\(\text{CH}_3 - \text{CH} = \text{CH} - \text{CH}_3 \xrightarrow{\text{O}_3} \text{A} \xrightarrow{\text{Zn/H}_2\text{O}} \text{B} \xrightarrow{\text{LiAlH}_4} \text{C}\)

Match the type of hybridisation given in List-I with their geometry given in List-II

List-l (Type of hybridisation)	List-II (Geometry)
(A) \(s p^3\)	(I) Trigonal bipyramidal
(B) \(d s p^2\)	(II) Octahedral
(C) \(s p^3 d\)	(III) Square planar
(D) \(s p^3 d^2\)	(IV) Tetrahedral

Choose the correct answer from the options given below :

Arrange the following electrodes in decreasing order of the strength of the respective ions as reducing agent.
(A) \(Cu ^{2+}+2 e^{-} \rightarrow Cu ( s ) \quad E^{\circ}=0.34 V\)
(B) \(Su ^{2+}+2 e^{-} \rightarrow Su (s) \quad E^{\circ}=-0.14 V\)
(C) \(AgBr ( s )+e^{-} \rightarrow Ag ( s )+ Br ^{-} \quad E ^{\circ}=0.10 V\)
(D) \(Pb ^{2+}+2 e^{-} \rightarrow Pb ( s ) \quad E^{\circ}=-0.13 V\)
Choose the correct answer from the options given below:

Which of the following reactions has fractional order with respect to one of the reactants?

Which of the following sols are correctly matched with their corresponding charges ?
(A) \(\text{Cr(OH)}_3\) sol : negatively charged sol
(B) \(\text{TiO}_2\) sol : positively charged sol
(C) \(\text{CdS}\) sol: positively charged sol
(D) Gum: negatively charged sol
(E) Silver sol : positively charged sol
Choose the correct answer from the options given below :

A function \(f: R \rightarrow\{x \in R:-1< x<1\}\) is defined as \(f(x)=\frac{x}{1+|x|}\), then \(f\) is :

Read the passage carefully to answer the questions given below
Some strains of Bacillus thuringiensis produce proteins that kill certain insects such as lepidopterans (tobacco budworm, armyworm), coleopterans (beetles) and dipterans (flies, mosquitoes). In Bacillus thuringiensis the toxin is coded by a gene crylAc named cry. There are a number of them, for example, the proteins encoded by the genes crylAc and cryllAb control the cotton bollworms, that of crylAb controls corn borer. Using conventional methods of diagnosis (serum and urine analysis, etc.) early detection is not possible. Recombinant DNA technology, Polymerase Chain Reaction (PCR) and Enzyme Linked Immuno-sorbent Assay (ELISA) are some of the techniques that serve the purpose of early diagnosis. The first clinical gene therapy was given in 1990 to a 4-year old girl with adenosine deaminase (ADA) deficiency. This enzyme is crucial for the immune system to function. The disorder is caused due to the deletion of the gene for adenosine deaminase. RNAi takes place in all eukaryotic organisms as a method of cellular defense. This method involves silencing of a specific mRNA due to a complementary dsRNA molecule that binds to and prevents translation of the mRNA.
RNAi involves involves silencing of a specific mRNA due to a complementary__________ molecule that binds to and prevents translation of the mRNA.

If \(u=\sin ^{-1}\left(\frac{2 x}{1+x^2}\right)\) and \(v=\tan ^{-1} x, x \in(-1,1)\), then \(\frac{d u}{d v}\) is equal to:

Read the passage carefully and answer the questions
Ethers with the general formula \(C _n H _{2 n+2} O\) and functional group C-O-C may be divided as symmetrical and unsymmetrical.
Lower symmetrical ether may be obtained by the dehydration of alcohols at low temperatures in the presence of protic acids,
such as \(H _2 SO _4\) and \(H _3 PO _4\) whereas at high temperature intramolecular dehydration takes place.
Formation of ether from primary alcohols is also accompanied by the formation of small amount of alkenes.
Due to the steric hinderance, secondary and tertiary alcohols undergo elimination reaction rather than substitution reaction yielding alkene as major product. Ethers can also be obtained by heating alkyl halides with sodium or potassium alkoxides.
Substituted Ethers (secondary & tertiary) can also be prepared using this method.
If primary halides are replaced with secondary and tertiary halides, alkenes are the major products.
The major product in the following reaction is

Predict the correct sequence of reagents to carry out the following conversion:

Which of the following statements about hormones is not correct?