Which is the most suitable reagent for the following transformation ? \(\begin{array}{*{20}{c}}
  {\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,OH} \\ 
  {\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,|\,\,} \\ 
  {C{H_3} - CH = CH - C{H_2} - CH - C{H_3}} 
\end{array}\)  \(\longrightarrow \)    \(C{H_3} - CH = CH - C{H_2}C{O_2}H\)

\(0.5\,g\) of an organic compound \((X)\) with \(60 \%\) carbon will produce \(........\times 10^{-1}\, g\) of \(CO _2\) on complete combustion.

The increasing order of the reactivity of the following compounds towards electrophilic aromatic substitution reaction is

Given below are two statements : Statement \(I :\) The esterification of carboxylic acid with an alcohol is a nucleophilic acyl substitution. Statement \(II :\) Electron withdrawing groups in the carboxylic acid will increase the rate of esterification reaction. Choose the most appropriate option

Arrange the following in order of magnitude of work done by the system / on the system at constant temperature :
(a) \(\left|\mathrm{w}_{\text {reversible }}\right|\) for expansion in infinite stage.
(b) \(\left|w_{\text {irreversible }}\right|\) for expansion in single stage.
(c) \(\left|w_{\text {reversible }}\right|\) for compression in infinite stage.
(d) \(\left|w_{\text {irreversible }}\right|\) for compression in single stage.
Choose the correct answer from the options given below:

Identify the incorrect statement from the following.

Given below are two statements :
1 M aqueous solution of each of \(\mathrm{Cu}\left(\mathrm{NO}_3\right)_2, \mathrm{AgNO}_3\), \(\mathrm{Hg}_2\left(\mathrm{NO}_3\right)_2 ; \mathrm{Mg}\left(\mathrm{NO}_3\right)_2\) are electrolysed using inert electrodes,
\(\begin{aligned} & \text { Given : } \mathrm{E}_{\mathrm{Ag}^{+} / \mathrm{Ag}}^\theta=0.80 \mathrm{~V}, \mathrm{E}_{\mathrm{Hg}_2^{2+} / \mathrm{Hg}}^\theta=0.79 \mathrm{~V}, \\ & \mathrm{E}_{\mathrm{Cu}^{2+} / \mathrm{Cu}}^\theta=0.24 \mathrm{~V} \text { and } \mathrm{E}_{\mathrm{Mg}^{2+} / \mathrm{Mg}}^\theta=-2.37 \mathrm{~V}\end{aligned}\)
Statement (I) : With increasing voltage, the sequence of deposition of metals on the cathode will be \(\mathrm{Ag}, \mathrm{Hg}\) and Cu
Statement (II) : Magnesium will not be deposited at cathode instead oxygen gas will be evolved at the cathode.
In the light of the above statement, choose the most appropriate answer from the options given below

The surface of water in a water tank of cross section area \(750\,cm ^2\) on the top of a house is \(h m\). above the tap level. The speed of water coming out through the tap of cross section area \(500\,mm ^2\) is \(30\,cm / s\). At that instant, \(\frac{d h}{d t}\) is \(x \times 10^{-3} m / s\). The value of \(x\) will be \(.............\).

The property/properties that show irregularity in first four elements of group-17 is/are :
(A) Covalent radius
(B) Electron affinity
(C) Ionic radius
(D) First ionization energy
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 \(A:\)- Butylated hydroxyl anisole when added to butter increases its shelf life. Reason \(R:\)- Butylated hydroxyl anisole is more reactive towards oxygen than food. In the light of the above statements, choose the most appropriate answer from the options given below :-

A particle executes \(S.H.M.,\) the graph of velocity as a function of displacement is :-

\(\begin{array}{c|c|c} A & B & Y \\\hline 0 & 0 & 1 \\0 & 1 & 1 \\1 & 0 & 0 \\1 & 1 & 1\end{array}\)
To obtain the given truth table, following logic gate should be placed at G :

"A" obtained by Ostwald's method involving air oxidation of \(NH _3\), upon further air oxidation produces "B". "B" on hydration forms an oxoacid of Nitrogen along with evolution of "A". The oxoacid also produces "A" and gives positive brown ring test