Consider the following reaction : The product \('P'\) gives positive ceric ammonium nitrate test. This is because of the presence of which of these \(-OH\) group(s)\(?\)

For the following reactions.....\(kJ/mol\) \(\mathrm{A} \stackrel{700 \mathrm{K}}{\rightarrow}\) Product \(\mathrm{A}\xrightarrow[\text { catalyst }]{500 \mathrm{K}} \) Product it was found that \(\mathrm{E}_{\mathrm{a}}\) is decreased by \(30 \;\mathrm{kJ} / \mathrm{mol}\) in the presence of catalyst. If the rate remains unchanged, the activation energy for catalysed reaction is (Assume pre exponential factor is same \():\)

A sample of \(NaClO_3\) is converted by heat to \(NaCl\) with a loss of \(0.16\, g\) of oxygen. The residue is dissolved in water and precipitated as \(AgCl\). The mass of \(AgCl\) (in \(g\)) obtained will be (Given: Molar mass of \(AgCl = 143.5\, g\,mol^{-1}\) )

The correct statements about metal carbonyls are
A. The metal-carbon bonds in metal carbonyls possess both \(\sigma\) and \(\pi\)-character.
B. Due to synergic bonding interactions between metal and CO ligand, the metal-carbon bond becomes weak.
C. The metal-carbon \(\sigma\) bond is formed by the donation of lone pair of electrons on the carbonyl carbon into a vacant orbital of metal.
D. The metal-carbon \(\pi\) bond is formed by the donation of electrons from filled d-orbital of metal into vacant \(\pi^*\) orbital of CO.
Choose the correct answer from the options given below:

\(\underset{\raise0.3em\hbox{\)\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

Match List-I with List-II.

List-I (Purification technique)	List-II (Mixture of organic compounds)
(A) Distillation (simple)	(I) Diesel + Petrol
(B) Fractional distillation	(II) Aniline + Water
(C) Distillation under reduced pressure	(III) Chloroform + Aniline
(D) Steam distillation	(IV) Glycerol + Spent-lye

Choose the correct answer from the options given below :

Given below are two statements for the following reaction sequence.

Statement I: Compound 'Z' will give yellow precipitate with NaOI.
Statement II: Compound 'Q' has two different types of 'H' atoms (aromatic : aliphatic) in the ratio 1 : 3.
In the light of the above statements, choose the correct answer from the option given below:

In the figure shown below, a resistance of \(150.4 \Omega\) is connected in series to an ammeter A of resistance \(240 \Omega\). A shunt resistance of \(10 \Omega\) is connected in parallel with the ammeter. The reading of the ammeter is _____ mA.

Suppose the vectors \(x_{1}, x_{2}\) and \(x_{3}\) are the solutions of the system of linear equations, \(Ax = b\) when the vector \(b\) on the right side is equal to \(b _{1}, b _{2}\) and \(b _{3}\) respectively. If \(x =\left[\begin{array}{l}1 \\ 1 \\ 1\end{array}\right], x _{2}=\left[\begin{array}{l}0 \\ 2 \\ 1\end{array}\right], x _{3}=\left[\begin{array}{l}0 \\ 0 \\ 1\end{array}\right], b _{1}=\left[\begin{array}{l}1 \\ 0 \\ 0\end{array}\right]\) \(b _{2}=\left[\begin{array}{l}0 \\ 2 \\ 0\end{array}\right]\) and \(b _{3}=\left[\begin{array}{l}0 \\ 0 \\ 2\end{array}\right],\) then the determinant of \(A\) is equal to

If \(S = \left\{\theta \in [-\pi, \pi] : \cos\theta \cos\dfrac{5\theta}{2} = \cos 7\theta \cos\dfrac{7\theta}{2}\right\}\), then \(n(S)\) is equal to _______.

Given below are two statements:
Statement-I: The gas liberated on warming a salt with dil \(H _2 SO _4\), turns a piece of paper dipped in lead acetate into black, it is a confirmatory test for sulphide ion.
Statement-II: In statement-I the colour of paper turns black because of formation of lead sulphite. In the light of the above statements, choose the most appropriate answer from the options given below:

The wave number of the first emission line in the Balmer series of \(H-\) Spectrum is ( \(R =\) Rydberg constant)

Consider the reaction \(\mathrm{X}_2 \mathrm{Y}(\mathrm{~g})=\mathrm{X}_2(\mathrm{~g})+\frac{1}{2} \mathrm{Y}_2(\mathrm{~g})\)
The equation representing correct relationship between the degree of dissociation (x) of \(\mathrm{X}_2 \mathrm{Y}(\mathrm{g})\) with its equilibrium constant Kp is ______ .
Assume \(x\) to be very very small.