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.
If the temperature is raised by \(10^{\circ} C\), then the rate of the reaction increases approximately by

Alcohol is more soluble in water when compared to alkanes due to formation of:

If the solubility of the given gases in water decreases in the order of formaldehyde, methane, vinyl chloride, argon.
Match List-I with List-II.

List-I(Gas)	List-II(\((\mathrm{K})_{\mathbf{H}} / \mathrm{k}\) bar)
(A) Formaldehyde	(I) 40.3
(B) Vinyl Chloride	(II) 0.413
(C) Argon	(III) 1.83 x \(\mathrm{10}^{-5}\)
(D) Methane	(IV) 0.611

Choose the correct answer from the options given below:

The molality of a solution made by dissolving 2.5 g of ethanoic acid (CH₃COOH) in 75 g of benzene is :

Read the passage carefully and answer the Questions
Carbonyl compounds such as aldehydes, ketones, and carboxylic acids play an important role in the biochemical process of plants and animal kingdom.
Many aldehydes and ketones find applications in dye, perfumery and other industries.
The carbonyl carbon atom is \(s p^2\)-hybridized forming three sigma and one pi-bond with oxygen.
C-O bonds are polar bond due to high electronegativity of oxygen than carbon.
Hence the carbonyl carbon behaves as an electrophilic center and oxygen as a nucleophilic centre.
Primary and secondary alcohols yield aldehydes and ketones respectively upon oxidation with variety of oxidizing agents.
The boiling points of aldehydes and ketones differ from hydrocarbons and ethers.
Aldehydes and ketones undergo nucleophilic addition reaction due to presence of electrophilic carbonyl carbon.
Nucleophile and a proton add across the carbon oxygen double bond.
Identify the product Y in the following reaction
\(\text{CH}_3\text{-CH = CH – CH}_2\text{OH}\) \(\xrightarrow{\text{Pyridinium Chlorochromate}}\) \(\rightarrow\text{Y}\)

Which of the following compounds have T-shaped structure?
(A) \(XeOF_2\)
(B) \(BrF_5\)
(C) \(IF_7\)
(D) \(ClF_3\)
(E) \(XeO_3\)
Choose the correct answer from the options given below :

A galvanic cell behaves as electrolytic cell when?

A charge particle having charge q is moving in a circle of radius R with a uniform speed v. The associated magnetic moment \(\mu\) is given by :

Match List - I with List - II.

List - I	List - II
(A) Derivative of \(|x-1|+|x-3|\) at \(x=2\)	(I) -1
(B) \(y=\log _e \sqrt{\tan x}\) then \(\frac{d y}{d x}\) at \(x=\frac{\pi}{4}\)	(II) 1
(C) \(\sin (x+y)=\log _e(x+y)\) then \(\frac{d y}{d x}\) is	(III) 2
(D) Value of C in Lagrange's Mean Value Theorem for \(f(x)=x^2+x+1, x \in[0,4]\)	(IV) 0

Match List - I with List - II.

List - I	List - II
(A) Embryo with 8-16 blastomeres	(I) Stem cell
(B) Cells having the potency to give rise to all the tissues and organs	(II) Oxytocin
(C) The hormone released from maternal pituitary during foetal ejection reflex	(III) Progesterone
(D) The hormone released by corpus luteum	(IV) Morula

Choose the correct answer from the options given below :

Based on the data available for the production ( \(y_i\) in thousand tons) of a cloth factory for 7 years (\(x_i\)) using the method of least squares, the straight line trend is given by \(y=a+b x\) with \(\sum y_i=608, \sum x_i=0, \sum x_i y_i=116, \sum x_i^2=28\). Then, the increase in production per year is :

Match List I with List - II.

List - I	List - II
(A) A community that is in near equilibrium with the environment	(I) Ecological succession
(B) The entire sequence of communities that successively change in a given area	(II) Xerarch succession
(C) A gradual and fairly predictable change in species composition of an area	(III) Climax community
(D) Succession of plants in dry areas	(IV) Sere(s)

Choose the correct answer from the options given below :

The shortest wavelength in the Balmer series of a hydrogen atom is (Given: \(R=1.1 \times 10^7 m^{-1}\) )