Consider the following reactions \(\begin{aligned} & \mathrm{Cs}+\mathrm{O}_2 \text { (excess) } \rightarrow \mathrm{X} \ & \mathrm{Na}+\mathrm{O}_2 \rightarrow \mathrm{Y} \end{aligned}\)
Identify the correct statement about \(X\) and \(Y\)

Which of the following sets of functional groups is meta-directing group?

The standard reduction potentials of \(\mathrm{Zn}^{2+}\left|\mathrm{Zn}, \mathrm{Cu}^{2+}\right| \mathrm{Cu}\) and \(\mathrm{Ag}^{+} \mid \mathrm{Cu}\) and \(\mathrm{Ag}^{+} \mid \mathrm{Ag}\) are respectively \(-0.76,0.34\) and \(0.8 \mathrm{~V}\). The following cells were constructed : (1) \(\mathrm{Zn}\left|\mathrm{Zn}^{2+}\right|\left|\mathrm{Cu}^{2+}\right| \mathrm{Cu}\) (2) \(\mathrm{Zn}\left|\mathrm{Zn}^{2+}\right|\left|\mathrm{Ag}^{+}\right| \mathrm{Ag}\) (3) \(\mathrm{Cu}\left|\mathrm{Cu}^{2+} \| \mathrm{Ag}^{+}\right| \mathrm{Ag}\) What is the correct order of \(E_{\text {cell }}^{\circ}\) of these cells?

A complex compound of \(\mathrm{Co}^{3+}\) with molecular formula \(\mathrm{CoCl}_{\mathrm{x}} \cdot \mathrm{yNH}_3\) gives a total of 3 ions when dissolved in water. How many \(\mathrm{Cl}^{-}\)ions satisfy both primary and secondary valencies in this complex?

Which of the following is not added during the extraction of silver by cyanide process?

Chlorine is allowed to react with excess of ammonia. In this, 1 mole of chlorine can oxidise ' \(\mathrm{Z}\) ' moles of \(\mathrm{NH}_3\), ' \(\mathrm{Z}\) ' is

The sequence of reagents which convert p-methyl aniline to p-methyl benzoic acid are

If \(\int e^x(1+x) \cdot \sec ^2\left(x e^x\right) d x\) \(=f(x)+\) constant, then \(f(x)\) is equal to

A tower subtends angles \(\alpha, 2 \alpha\) and \(3 \alpha\) respectively at points \(A, B\) and \(C\), all lying on a horizontal line through the foot of the tower, then \(\frac{A B}{B C}\) is equal to:

A particle moves along a straight line such that its displacement ' \(x\) ' varies with time ' \(t\) ' as \(x=\alpha t^3+\beta t^2+\gamma\), where \(\alpha, \beta, \gamma\) are constants. \(V_1\) is the average velocity of the particle during its journey between \(t=1 \mathrm{~s}\) and \(t=3 \mathrm{~s} . \mathrm{V}_2\) is the instantaneous velocity of the particle at \(t=3 \mathrm{~s}\). The ratio \(\frac{\mathrm{V}_1}{\mathrm{~V}_2}\) is

The mid-point of a chord of the ellipse \(x^2+4 y^2-2 x+20 y=0 \quad\) is \((2,-4)\). The equation of the chord is

A wire of length \(0.4 \mathrm{~m}\) stretched at both ends vibrates 250 times per second. If the length of the wire is increased by \(0.1 \mathrm{~m}\) and the stretching force is reduced to \(1 / 4^{\text {th }}\) of its original value then the new frequency is

The power factor of an \(\mathrm{AC}\) circuit containing peak current \(2 \mathrm{~A}\) and peak voltage \(1 \mathrm{~V}\) is \(1 / 2\), then the angle between voltage and current is