Consider the above sequence of reactions. The number of bromine atom(s) in the final product (P) will be:

\(X Y\) is the membrane / partition between two chambers 1 and 2 containing sugar solutions of concentration \(c_1\) and \(c_2\left(c_1 \gt c_2\right) \mathrm{mol} \mathrm{L}^{-1}\). For the reverse osmosis to take place identify the correct condition
(Here \(p_1\) and \(p_2\) are pressures applied on chamber 1 and 2)

(A) Membrane/Partition; Cellophane, \(\mathrm{p}_1 \gt \pi\)
(B) Membrane/Partition ; Porous. \(\mathrm{p}_2 \gt \pi\)
(C) Membrane/Partition ; Parchment paper, \(\mathrm{p}_1 \gt \pi\)
(D) Membrane/Partition : Cellophane, \(\mathrm{p}_2 \gt \pi\)
Choose the correct answer from the option given below :

The total number of electrons in all bonding molecular orbitals of \(O_{2}^{2-}\) is \(....\,.\) (Round off to the Nearest Integer).

The number of halobenzenes from the following that can be prepared by Sandmeyer's reaction is _______.

The correct statement/s about Hydrogen bonding is: \(A\). Hydrogen bonding exists when \(\mathrm{H}\) is covalently bonded to the highly electro negative atom. \(B\). Intermolecular \(\mathrm{H}\) bonding is present in o-nitro phenol \(C\). Intramolecular \(\mathrm{H}\) bonding is present in \(\mathrm{HF}\). \(D\). The magnitude of \(\mathrm{H}\) bonding depends on the physical state of the compound. \(E\). H-bonding has powerful effect on the structure and properties of compounds. Choose the correct answer from the options given below :

The reagent, from the following, which converts benzoic acid to benzaldehyde in one step is

First and second ionization enthalpies of lithium are \(520\) kJ mol\(^{-1}\) and \(7297\) kJ mol\(^{-1}\) respectively. Energy required to convert \(3.5\) mg lithium (g) into \(\text{Li}^{2+}\)(g) \([\text{Li(g)} \rightarrow \text{Li}^{2+}\text{(g)}]\) is _______ kJ mol\(^{-1}\). (nearest integer) [Molar mass of Li \(= 7\) g mol\(^{-1}\)]

The absolute configuration of given is :

Let the system of equations \(x+2 y+3 z=5\), \(2 x+3 y+z=9,4 x+3 y+\lambda z=\mu\) have infinite number of solutions. Then \(\lambda+2 \mu\) is equal to :

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

A \(2\,meter\) long scale with least count of \(0.2\,cm\) is used to measure the locations of objects on an optical bench. While measuring the focal length of a convex lens, the object pin and the convex lens are placed at \(80\,cm\) mark and \(1\,m\) mark, respectively. The image of the object pin on the other side of lens coincides with image pin that is kept at \(180\,cm\) mark. The \(\%\) error in the estimation of focal length is

Given below are two statements :
Statement (I): Experimentally determined oxygen-oxygen bond lengths in the \(\mathrm{O}_3\) are found to be same and the bond length is greater than that of a \(\mathrm{O}=\mathrm{O}\) (double bond) but less than that of a single \((O-O)\) bond.
Statement (II) : The strong lone pair-lone pair repulsion between oxygen atoms is solely responsible for the fact that the bond length in ozone is smaller than that of a double bond \((\mathrm{O}=\mathrm{O})\) but more than that of a single bond \((\mathrm{O}-\mathrm{O})\).
In the light of the above statements, choose the correct answer from the options given below :

Match List \(I\) with List \(II\)

LIST \(I\)	LIST \(II\)
\(A\) Planck's constant \(( h )\)	\(I\) \(\left[ M ^1 L ^2 T ^{-2}\right]\)
\(B\) Stopping potential \(( Vs )\)	\(II\) \(\left[ M ^1 L ^1 T ^{-1}\right]\)
\(C\) Work function \((\phi)\)	\(III\) \(\left[ M ^1 L ^2 T ^{-1}\right]\)
\(D\) Momentum \(( p )\)	\(IV\) \(\left[ M ^1 L ^2 T ^{-3} A ^{-1}\right]\)