Given below are two statements:

Statement I: Methane can be prepared by decarboxylation of sodium ethanoate, Kolbe's electrolysis of sodium acetate and reaction of \(\text{CH}_3\text{MgBr}\) with water.

Statement II: Methane cannot be prepared from unsaturated hydrocarbons and by Wurtz reaction.

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

Mass of methane required to produce \(22 \mathrm{~g}\) of \(\mathrm{CO}_2\) after complete combustion is ___________\(g.\) (Given Molar mass in \(g\) mol-1 \(\mathrm{C}=12.0\)  \( \mathrm{H}=1.0 \)  \( \mathrm{O}=16.0)\)

The cyclic cations having the same number of hyperconjugation are:

Choose the correct answer from the options given below :

The maximum possible denticities of a ligand given below towards a common transition and inner -transition metal ion, respectively, are

In which of the following octahedral complex species the magnitude of \({\Delta _0}\) will be maximum ?

Given below are two statements.
Statement I : The dipole moment of \(\stackrel{4}{\mathrm{CH}_3}-\stackrel{3~~~~}{\mathrm{CH}}=\stackrel{3~~~~}{\mathrm{CH}}-\stackrel{1~~~~}{\mathrm{CH}}=\mathrm{O}\) is greater than \(\stackrel{4}{\mathrm{CH}_3}-\stackrel{3}{\mathrm{CH}_2}-\stackrel{2}{\mathrm{CH}_2}-\stackrel{1}{\mathrm{CH}}=\mathrm{O}\)
Statement II : \(\mathbf{C}_1-\mathbf{C}_2\) bond length of \(\underset{4}{\mathrm{CH}_3-\mathrm{}} \underset{3}{\mathrm{CH=}} \underset{2}{\mathrm{CH}}-\mathrm{CH}=\mathrm{O}\) is greater than \(\mathrm{C}_1-\mathrm{C}_2\) bond length of

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

Which one of the following species responds to an external magnetic field?

Molal depression constant for a solvent is \(4.0\, K\, Kg\, mol^{-1}\). The depression in the freezing point of the solvent for \(0.03\, mol\, kg^{-1}\) solution of \(K_2SO_4\) is .............. \(\mathrm{K}\) (Assume complete dissociation of the electrolyte)

A thin prism of angle \(6^{\circ}\) and refractive index for yellow light \(\left(n_{Y}\right) 1.5\) is combined with another prism of angle \(5^{\circ}\) and \(n _{ Y }=1.55\). The combination produces no dispersion. The net average deviation ( \(\delta\) ) produced by the combination is \(\left(\frac{1}{x}\right)^{\circ}\). The value of \(x\) is.......

The number of triplets \((x, y, z)\). where \(x, y, z\) are distinct non negative integers satisfying \(x+y+z=15\), is

A thin rod \(MN\), free to rotate in the vertical plane about the fixed end \(N\), is held horizontal . When the end \(M\) is released the speed of this end, when the rod makes an angle \(\alpha \) with the horizontal, will be proportional to ( see figure)

Borazine, also known as inorganic benzene, can be prepared by the reaction of \(3-equivalents\) of " \(X\) " with \(6-equivalents\) of "\(Y\)"."\(X\)" and "\(Y\)", respectively are.

A coin is based so that a head is twice as likely to occur as a tail. If the coin is tossed \(3\) times, then the probability of getting two tails and one head is -