Number of hydrogen atoms in the given compound is

Which one of the following compounds will not show geometrical isomerism?

Observe the following reaction
\(\mathrm{xS}_8(\mathrm{~s})+\mathrm{yOH}^{-}(\mathrm{aq}) \rightarrow \mathrm{zS}^{2-}(\mathrm{aq})+2 \mathrm{~S}_2 \mathrm{O}_3^{2-}(\mathrm{aq})\)
\(+6 \mathrm{H}_2 \mathrm{O}(1) \mathrm{x}, \mathrm{y}\) and \(\mathrm{z}\) are respectively.

The formation of oxide ion \(\mathrm{O}^{2-}\) from oxygen atom requires an exothermic reaction, followed by an endothermic step as shown below. The process of formation of \(\mathrm{O}^{2-}\) in gas phase is unfavorable \(\left(\Delta H^{\ominus}=+\right.\) ve \()\), even though it has stable configuration of the nearest noble gas neon. This is because
\(\begin{aligned} & \mathrm{O}(g)+e^{-} \longrightarrow \mathrm{O}^{-}(g) ; \Delta H^{\ominus}=-141 \mathrm{~kJ} \mathrm{~mol}^{-1} \\ & \mathrm{O}^{-}(g)+e^{-} \longrightarrow \mathrm{O}^{2-}(g) ; \Delta H^{\ominus}=+760 \mathrm{~kJ} \mathrm{~mol}^{-1}\end{aligned}\)

An aryl carboxylic acid on treatment with sodium hydrogen carbonate liberates a gaseous molecule. Identify the gas molecule liberated.

The products formed in the reaction of phenol with \(\mathrm{Br}_2\) dissolved in \(\mathrm{CS}_2\) at \(0^{\circ} \mathrm{C}\) are

Compound ' \(A\) ' undergoes formation of cyanohydrins, which on hydrolysis gives lactic acid \(\left(\mathrm{CH}_3 \mathrm{CHOHCOOH}\right)\). Therefore, compound ' \(A\) ' is ____

The equation of circle whose diameter is the diagonal of the rectangle with sides \(x=4, x=-2, y=5, y=-2\), is

If \(\alpha, \beta\) are the roots of the equation \(x^2-2 x+4=0\) and for any \(n \in \mathrm{N}, \alpha^n+\beta^n=k \cos \frac{n \pi}{3}\) then \(k=\)

Let \(O\) be the origin and \(A\) be a point on the curve \(y^2=4 x\). Then the locus of the mid point of \(O A\) is :

Benzoic acid molecules undergo dimerisation in benzene. 2.44 g of benzoic acid when dissolved in 30 g of benzene caused depression in freezing point of 2 K. What is the percentage of association of it ?
(Given \(\mathrm{K}_f\left(\mathrm{C}_6 \mathrm{H}_6\right)=5 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}\); molar mass of benzoic acid \(=122 \mathrm{~g} \mathrm{~mol}^{-1}\) )

A bar of mass \(m\) resting on a smooth horizontal plane starts moving due to a constant force \(F\). In the process of its rectilinear motion the angle \(\theta\) between the direction of this force and the horizontal varies as \(\theta=k x\), where \(k\) is a constant and \(x\) is the distance traversed by the bar from its initial position. The velocity \((v)\) of the bar as a function of the angle \(\theta\) is