Which of the following is an endothermic
reaction?

Which pair of ions have same magnetic moment?

The artificial sweetener X contains glycosidic linkage and Y contains amide, ester linkages. X and Y respectively are

Higher second ionisation enthalpies than expected are observed for

For a reaction to be spontaneous, the required conditions are

Identify the reactions in which dichromate acts as an oxidising reagent.
I. \(\mathrm{Cr}_2 \mathrm{O}_7^{2-}+6 \mathrm{Fe}^{2+}+14 \mathrm{H}^{+} \longrightarrow 2 \mathrm{Cr}^{3+}+6 \mathrm{Fe}^{3+}+7 \mathrm{H}_2 \mathrm{O}\)
II. \(\mathrm{Cr}_2 \mathrm{O}_7^{2-}+2 \mathrm{OH}^{-} \longrightarrow 2 \mathrm{CrO}_4^{2-}+\mathrm{H}_2 \mathrm{O}\)
III. \(\mathrm{Cr}_2 \mathrm{O}_7^{2-}+6 \mathrm{I}^{-}+14 \mathrm{H}^{+} \longrightarrow 2 \mathrm{Cr}^{3+}+3 \mathrm{I}_2+7 \mathrm{H}_2 \mathrm{O}\)
IV. \(\mathrm{Na}_2 \mathrm{Cr}_2 \mathrm{O}_7+2 \mathrm{KCl} \longrightarrow \mathrm{K}_2 \mathrm{Cr}_2 \mathrm{O}_7+2 \mathrm{NaCl}\)

In which of the following chain termination step is absent?

\(\int(\log 2 \mathrm{x})^3 \mathrm{dx}=\)

The range of the real valued function \(f(x)=\sqrt{9-x^2}\) is

The value of \(x\) that satisfies the equation \(\int_{\sqrt{2}}^x \frac{d t}{|t| \sqrt{t^2-1}}=\frac{\pi}{12}\) is

If the line \(y=2 x+k\) is normal to the parabola \(y^2=4 x\), then \(k=\)

\(1+\sin x+\sin ^2 x+\sin ^3 x+\ldots+\infty=4+2 \sqrt{3}\) and \(0 \lt x \lt \pi\), \(x \neq \frac{\pi}{2}\) then \(x=\)

The approximate value of \((1.0002)^{3000}\) is