The products \( X \) and \( Z \) in the following reaction sequence are

Peroxide effect is observed with the addition of HBr but not with the addition of HI to unsymmetrical alkene because

The spin only magnetic moment of \(\mathrm{Mn}^{4+}\) ion is nearly

A compound of 'A' and 'B' crystallises in a cubic lattice in which 'A' atoms occupy the lattice points at the corners of the cube. The ' \(B\) ' atoms occupy the centre of each face of the cube. The probable empirical formula of the compound is

\[
\mathrm{P} \stackrel{\mathrm{H}_{2} / \mathrm{Pd}-\mathrm{BaSO}_{4}}{\rightarrow} \mathrm{Q} \stackrel{\text { (i) conc. } \mathrm{NaOH}}{\rightarrow} \mathrm{R}+\mathrm{S}
\]
\( R \) and \( S \) form benzyl benzoate when treated with each other. Hence, \( P \) is

Match List-I with List-II
\begin{array}{|l|l|l|l|}\hline & \text{List-I (Types of redox reactions)} & & \text{List-II (Examples)} \\\hline \text{a}. & \text{Combination reaction} & \text{(i)} & \mathrm{Cl}_{2(\mathrm{~g})}+2 \mathrm{Br}_{(\mathrm{aq})}^{-} \rightarrow 2 \mathrm{Cl}_{(\mathrm{aq})}^{-}+\mathrm{Br}_{2(\mathrm{l})} \\\hline \text{b.} & \text{Decomposition reaction} & \text{(ii)} & 2 \mathrm{H}_2 \mathrm{O}_{2(\mathrm{aq})} \rightarrow 2 \mathrm{H}_2 \mathrm{O}_{(1)}+\mathrm{O}_{2(\mathrm{~g})} \\\hline \text{c.} & \text{Displacement reaction} & \text{(iii)} & \mathrm{CH}_{4(\mathrm{~g})}+2 \mathrm{O}_{2(\mathrm{~g})} \xrightarrow{\Delta} \mathrm{CO}_{2(\mathrm{~g})}+2 \mathrm{H}_2 \mathrm{O}_{(1)} \\\hline \text{d.} & \text{Disproportionation reaction} & \text{(iv)} & \mathrm{H}_2 \mathrm{O}_{(1)} \xrightarrow{\Delta} 2 \mathrm{H}_{2(\mathrm{~g})}+\mathrm{O}_{2(\mathrm{~g})} \\\hline\end{array}

Choose the correct answer from the options given below.

Zeta potential is

\( \int \frac{1}{x^{2}\left(x^{4}+1\right)^{3 / 4}} \mathrm{dx} \) is equal to

Which one of the following noble gas has an unusual property of diffusing through the
materials such as rubber, glass or plastic ?

If a cell has twice as much DNA as in a normal functional cell, it means that the cell __________

A car covers the first half of the distance between two places at \(40\) km/h and another half at \(50\) km/h. The average speed of the car is

Spectrum of sunlight is an example for

If an LPP admits optimal solution at two consecutive vertices of a feasible region, then