If \(\quad C\) (diamond \() \rightarrow C\) (graphite \()+\mathrm{X} \mathrm{kJ} \mathrm{mol}^{-1}\)
\(\mathrm{C}(\) diamond \()+\mathrm{O}_2(\mathrm{~g}) \rightarrow \mathrm{CO}_2(\mathrm{~g})+\mathrm{Y} \mathrm{kJ} \mathrm{mol}^{-1}\)
C (graphite) \(+\mathrm{O}_2(\mathrm{~g}) \rightarrow \mathrm{CO}_2(\mathrm{~g})+\mathrm{Z} \mathrm{kJ} \mathrm{mol}^{-1}\)
at constant temperature. Then...

\(Ph - CH = CH _2 \xrightarrow[ HBr ]{( PhCOO )_2}\) Product
Consider the above reaction
A. The reaction proceeds through a more stable radical intermediate.
B. The role of peroxide is to generate \(\dot{ H }\) (Hydrogen radical).
C. During this reaction, benzene is formed as a biproduct.
D. 1-Bromo-2-phenylethane is fanned as the minor product.
E. The same reaction in absence of peroxide proceeds via carbocation intermediate.
Identify the correct statements. Choose the correct answer from the options given below:

Given below are two statements: one is labelled as Assertion \((A)\) and the other is labelled as Reason \((R)\).
Assertion \((A)\) : Both rhombic and monoclinic sulphur exist as \(S_5\) while oxygen exists as \(O_2\). Reason \((R)\) : Oxygen forms \(\mathrm{p} \pi-\mathrm{p} \pi\) multiple bonds with itself and other elements having small size and high electronegativity like \(\mathrm{C}, \mathrm{N}\), which is not possible for sulphur. In the light of the above statements, choose the most appropriate answer from the options given below :

Which of the following compounds will most readily be dehydrated to give alkene under acidic condition?

The amount of charge in \(F\) (Faraday) required to obtain one mole of iron from \(Fe _{3} O _{4}\) is (Nearest Integer)

Cylohexene is __________type of an organic compound.

Match List\(-I\) with List\(-II\) : Choose the correct answer from the options given below:

 Consider a water jar of radius \(R\) that has water filled up to height \(H\) and is kept on a stand of height \(h\) (see figure) . Through a hole of radius \(r\)  \((r << R)\) at its bottom, the water leaks out and the stream of water coming down towards the ground has a shape like a funnel as shown in the figure. If the radius of the cross-section of water stream when it hits the ground is \(x.\) Then

The number of points of intersection of \(| z -(4+3 i )|=2\) and \(| z |+| z -4|=6, z \in C\) is

Given below are two statements: one is labelled as Assertion \((A)\) and the other is labelled as Reason \((R)\). Assertion \((A)\) : \(\mathrm{NH}_3\) and \(\mathrm{NF}_3\) molecule have pyramidal shape with a lone pair of electrons on nitrogen atom. The resultant dipole moment of \(\mathrm{NH}_3\) is greater than that of \(\mathrm{NF}_3\). Reason \((R)\) : In \(\mathrm{NH}_3\), the orbital dipole due to lone pair is in the same direction as the resultant dipole moment of the \(\mathrm{N}-\mathrm{H}\) bonds. \(\mathrm{F}\) is the most electronegative element. In the light of the above statements, choose the correct answer from the options given below:

The calculated spin only magnetic moments \((BM)\) of the anionic and cationic species of \({\left[ {Fe{{\left( {{H_2}O} \right)}_6}} \right]_2}\) and \(\left[ {Fe{{\left( {CN} \right)}_6}} \right]\) , respectively, are:

A uniformly charged ring of radius \(3a\) and total charge \(q\) is placed in \(xy-\) plane centered at origin. A point charge \(q\) is moving towards the ring along the \(z-\) axis and has speed \(v\) at \(z = 4a\). The minimum value of \(v\) such that it crosses the origin is

A tube of length 1 m is filled completely with an ideal liquid of mass 2 M , and closed at both ends. The tube is rotated uniformly in horizontal plane about one of its ends. If the force exerted by the liquid at the other end is F then angular velocity of the tube is \(\sqrt{\frac{\mathrm{F}}{\alpha \mathrm{M}}}\) in SI unit. The value of \(\alpha\) is __________.