Choose the statements that are valid for the molecularity of a reaction
(A) Molecularity is equal to the number of reacting species involved in the overall reaction
(B) Decomposition of ammonium nitrite is an example of unimolecular reaction
(C) Reactions with the molecularity three are very rare
(D) Molecularity can only be determined experimentally
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Match List - I with List - II.

List - I	List - II
(A) Diamagnetic solid	(I) \(CrO _2\)
(B) Ferromagnetic solid	(II) \(Fe _3 O _4\)
(C) Antiferromagnetic	(III) NaCl
(D) Ferrimagnetic solid	(IV) MnO

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Match List I with List II

LIST I (Order)	LIST II (Units of k)
A. Zero order reactions	I. \(\backslash s^{-1}\)
B. 1st order	II. \(m \operatorname{mol}^{-2} L^2 s^{-1}\)
C. 2nd order	III. \(\operatorname{mol} L^{-1} s^{-1}\)
D. 3rd order	IV. \(\backslash\) mol \(^{-1} L s^{-1}\)

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Match List-I with List-II

List-I (Reaction)	List-II (Name)
(A) \({CH}_3 {CHO}+{Dil} {NaOH} \longrightarrow {CH}_3 {CHOHCH}_2 {CHO}\)	(I) Aldol Reaction
(B) \({CH}_3 {CH}_3 {CH}_2 {COOH}+{Br}_2 \xrightarrow[\text { (ii) } {H}_2 {O}]{\text { (i)Red P }} {CH}_2 {CH}_2 {CHBrCOOH}\)	(II) Cannizzaro Reaction
(C) \({C}_6 {H}_5 {CHO}+\) Conc. \({KOH} \longrightarrow {C}_6 {H}_5 {COONa}+{C}_6 {H}_5 {CH}_2 {OH}\)	(III) Haloform Reaction
(D) \({CH}_3 {COCH}_3 \xrightarrow{{NaOCl}} {CH}_3 {COONa}+{CHCl}_3\)	(IV) Hell Volhard Zelinski Reaction

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Out of 18 g of glucose, only 4.5 g is dissolved in water to obtain 40 mL of its aqueous solution. Find the molarity of this glucose solution.

Answer the questions on the basis of passage given below :
As aldehydes ketones possess the carbonyl functional group, they show similar reactions. They exhibit nucleophilic addition reactions, reduction, oxidations, reactions due to alpha-Hydrogen atom, and many other reactions, like Cannizzaro reaction to electrophilic substitution reactions (in case of aromatic aldehydes ketones).
These reactions help in the preparation of a number of important compounds, like acetic acid, vinyl acetate, polymers and in perfume and dye industries.
Nucleophilic addition reactions form cyanohydrins, acetals, alcohols and N -substituted derivatives like imine, oxime, semicarbazone, phenylhydrazone Schiff's base. Reactions due to alpha-hydrogen atoms help in formation of aldols and alpha, beta-unsaturated aldehydes ketones.
Which of the following combinations of Grignard's reagent and carbonyl compound can give \(C _6 H _5- C ( OH )\left( CH _3\right)- CH \left( CH _3\right)_2\)
A. \(C _6 H _5 CH _2 MgBr +\left( CH _3\right)_2 CH - CHO\)
B. \(C _6 H _5 MgBr + CH _3- CO - CH \left( CH _3\right)_2\)
C. \(CH _3 MgBr + C _6 H _5- CO - CH \left( CH _3\right)_2\)
D. \(C _6 H _5- CO - CH _3+\left( CH _3\right)_2 CHMgBr\)
E. \(C _6 H _5 CH ( MgBr ) CH _3+\left( CH _3\right)_2 CO\)
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The aqueous solution containing which one of the following ions will be colourless? (Atomic numbers: \(Sc = 21, Fe = 26, Ti = 22, Mn = 25\))

Alcohol is a depressant, which means that even small amounts of alcohol slow down the actions of parts of the brain, so alcohol lengthens the time you take to respond to a stimulus.
Different people react differently to alcohol. In some people, it increase their feelings of aggression, and releases their inhibitions so that they are more likely to be violent or commit other crimes.
An alcoholic needs to drink quite large quantities of alcohol regularly. This causes many parts of the body to be damaged, because alcohol is poisonous to cells. Probably, there are many factors which decide whether or not a person becomes alcoholic. Over a long period of time, it can cause loss of memory and confusion. One way in which the damage is done is that alcohol in the body fluids draws water out of cells by osmosis.
Effect of alcohol on cells is -

The direction cosines of a line which makes equal angles with co-ordinate axes are:

Consider the LPP: Minimize \(Z=x+2 y\) subject to \(2 x+y \geq 3, x+2 y \geq 6, x, y \geq 0\). The optimal feasible solution occurs at:

Match List I with List II

LIST I	LIST II
A. \(\int \sin x \cos x d x\)	I. \(\log _e\left(1+\sin ^2 x\right)+C\)
B. \(\int \frac{d x}{\sin ^2 x \cos ^2 x}\)	II. \(\tan \frac{x}{2}+C\)
C. \(\int \frac{\sin 2 x}{1+\sin ^2 x} d x\)	III. \(-\frac{1}{4} \cos 2 x+C\)
D. \(\int(1-\cos x)\operatorname{cosec}^2 x d x\)	IV. \(\tan x-\cot x+C\)

The given graph shows the variation of terminal potential difference V, across the combination of three identical cells in series to an external resistor versus the current i in the circuit. The internal resistance of each cell is :

Which of the following are correct?
(A) The probability curve in t-distribution is symmetric about the line \(t =0\).
(B) t-axis is an asymptote of the curve.
(C) The variable t of t-distribution ranges from \(-\infty\) to \(\infty\).
(D) As the number of degrees of freedom increases, the t-distribution curve moves closer to the binomial distribution.
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