If general formula of oxime and semicarbazone is \(\mathrm{C}=\mathrm{N}-\mathrm{Z}\), what is ' \(\mathrm{Z}\) ' in oxime (I) semicarbazone (II)?

Metal ' \(\mathrm{M}\) ' in the following reaction is
\(2 \mathrm{MNO}_3 \rightarrow \mathrm{M}_2 \mathrm{O}+2 \mathrm{NO}_2+\frac{1}{2} \mathrm{O}_2\)

Consider the following:
Statement-I : \(\mathrm{Al}_2 \mathrm{O}_3\) is amphoteric in nature.
Statement-II : \(\mathrm{T}_2 \mathrm{O}_3\) is more basic than \(\mathrm{Ga}_2 \mathrm{O}_3\)
The correct answer is

Identify the fibre \((\mathrm{X})\) and elastomer \((\mathrm{Y})\) from the following

\(50 \mathrm{~g}\) of a substance is dissolved in \(1 \mathrm{~kg}\) of water at \(+90^{\circ} \mathrm{C}\). The temperature is reduced to \(+10^{\circ} \mathrm{C}\). The density is increased from 1.1 to \(1.15 \mathrm{~g} \mathrm{cc}^{-1}\). What is the \(\%\) change of molarity of the solution?

Number of different bonds present in \(\mathrm{P}_4 \mathrm{O}_{10}\) is

At \(\mathrm{T}(\mathrm{K}), \mathrm{K}_{\mathrm{c}}\) value of \(\mathrm{AO}_2(\mathrm{~g})+\mathrm{BO}_2(\mathrm{~g}) \rightleftharpoons \mathrm{AO}_3(\mathrm{~g})+\mathrm{BO}(\mathrm{g})\) is 16. In a closed 1 L flask, one mole each of \(\mathrm{AO}_2, \mathrm{BO}_2, \mathrm{AO}_3\) and BO are taken and heated to \(\mathrm{T}(\mathrm{K})\). Identify the correct statements about this equilibrium.
I) Total number of moles at equilibrium is 4
II) At equilibrium, the ratio of moles of \(\mathrm{AO}_2\) and \(\mathrm{AO}_3\) is \(1: 4\)
III) Total number of moles of \(\mathrm{AO}_2\) and \(\mathrm{BO}_2\) at equilibrium is 0.8

A ray makes angles \(\frac{\pi}{3}\) and \(\frac{\pi}{4}\) with \(Y\) and \(Z\)-axes respectively. Then, the value of the sine of the angle made by the ray with \(X\)-axis is

\([x]\) denotes the greatest integer less than or equal to \(x\). If \(\{x\}=x-[x]\) and \(\lim _{x \rightarrow 0^{-}} \frac{\sin ^{-1}(x+[x])}{2-\{x\}}=\theta\), then \(\sin \theta+\cos \theta=\)

Which of the following is the property of Rydberg constant?

The equations of the tangent to the circle \(5 x^2+5 y^2=1\) parallel to the line \(3 x+4 y=1\) are

The length of the latus rectum of \(16 x^2+25 y^2=400\) is

Consider the following:
Statement-I : Kolbe's electrolysis of sodium propionate gives n-hexane as product
Statement-II : In Kolbe's process \(\mathrm{CO}_2\) is liberated at anode and \(\mathrm{H}_2\) is liberated at cathode
Correct answer is