In the following reaction
Carbonyl compound \( + MeOH\overset {HCl} \longleftrightarrow {\text{acetal}}\) Rate of the reaction is the highest for

\(1.86\, g\) of aniline completely reacts to form acetanilide. \(10 \,\%\) of the product is lost  during purification. Amount of acetanilide obtained after purification (in \(g\)) is ...... \(\times 10^{-2}.\)

Which of the following is \('a'\) \(FALSE\) statement ?

The ionization energy of sodium in \(\mathrm{kJ} \mathrm{mol}^{-1}\). If electromagnetic radiation of wavelength \(242 \mathrm{~nm}\) is just sufficient to ionize sodium atom is _______.

Given below are two statements:
Statement I: The conversion proceeds well in the less polar medium.
\(\mathrm{CH}_3-\mathrm{CH}_2-\mathrm{CH}_2-\mathrm{CH}_2-\mathrm{Cl} \xrightarrow{\mathrm{HO}^{-}} \mathrm{CH}_3-\mathrm{CH}_2-\mathrm{CH}_2-\mathrm{CH}_2-\mathrm{OH}+\mathrm{Cl}^{(-)}\)
Statement II: The conversion proceeds well in the more polar medium.

In the light of the above statements, choose the correct answer from the options given below

Consider the following reactions. From these reactions which reaction will give carboxylic acid
as a major product ?
(A) \(\mathrm{R}-\mathrm{C} \equiv \mathrm{N} \xrightarrow[\text { mild condition }]{\text { (i) } \mathrm{H}^{+} / \mathrm{H}_2 \mathrm{O}}\)
(B) \(\mathrm{R}-\mathrm{MgX} \xrightarrow[\text { (ii) } \mathrm{H}_3 \mathrm{O}^{+}]{\text {(i) } \mathrm{CO}_2}\)
(C) \(\mathrm{R}-\mathrm{C} \equiv \mathrm{N} \xrightarrow[\text { (ii) } \mathrm{H}_3 \mathrm{O}^{+}]{\text {(i) } \mathrm{SnCl}_2 / \mathrm{HCl}}\)
(D) \(\mathrm{R} \cdot \mathrm{CH}_2 \cdot \mathrm{OH} \xrightarrow{\mathrm{PCC}}\)
(E)

Choose the correct answer from the options given below:

Consider the following reactions is correct

Let the function \(f(x)=\left(x^2+1\right)\left|x^2-a x+2\right|+\cos |x|\) be not differentiable at the two points \(x=\alpha=2\) and \(x=\beta\). Then the distance of the point \((\alpha, \beta)\) from the line \(12 x+5 y+10=0\) is equal to :

\(\underset{\raise0.3em\hbox{\)\smash{\scriptscriptstyle-}\(}}{A} \xrightarrow{{4\,KO{H_1}{O_2}}}\mathop {2\underset{\raise0.3em\hbox{\)\smash{\scriptscriptstyle-}\(}}{B} }\limits_{(Green)}  + 2{H_2}O\) \(3\underset{\raise0.3em\hbox{\)\smash{\scriptscriptstyle-}\(}}{B} \xrightarrow{{4\,HCl}}\mathop {2C}\limits_{(Purple)}  + Mn{O_2} + 2{H_2}O\) \(3\underset{\raise0.3em\hbox{\)\smash{\scriptscriptstyle-}\(}}{C} \xrightarrow{{{H_2}O,KI}}2\underset{\raise0.3em\hbox{\)\smash{\scriptscriptstyle-}\(}}{A}  + 2KOH + \underset{\raise0.3em\hbox{\)\smash{\scriptscriptstyle-}\(}}{D} \) In the above sequence of reactions, \(\underset{\raise0.3em\hbox{\)\smash{\scriptscriptstyle-}\(}}{A}\) and \(\underset{\raise0.3em\hbox{\)\smash{\scriptscriptstyle-}\(}}{D} \) ,  respectively are

The technique used for purification of steam volatile water immiscible substance is:

The number of solutions of \(\tan^{-1}4x+\tan^{-1}6x=\frac{\pi}{6}\) where \(-\frac{1}{2\sqrt{6}}< x <\frac{1}{2\sqrt{6}}\) is equal to

Given below are two statements, one is labelled as Assertion \(A\) and the other is labelled as Reason \(R\).

If \(5\left( {{{\tan }^2}x - {{\cos }^2}x} \right) = 2\cos 2x + 9,\) then \(\cos 4x\) is equal to