Identify the number of structures from the following which can be correlated to D-glyceraldehyde.

Which of the following statements are correct? \((A)\) The \(M ^{3+} / M ^{2+}\) reduction potential for iron is greater than manganese \((B)\) The higher oxidation states of first row \(d\) block elements get stabilized by oxide ion. \((C)\) Aqueous solution of \(Cr ^{2+}\) can liberate hydrogen from dilute acid. \((D)\) Magnetic moment of \(V ^{2+}\) is observed between \(4.4-5.2\,BM\) Choose the correct answer from the options given below:

Total number of essential amino acid among the given list of amino acids is _______. Arginine, Phenylalanine, Aspartic acid, Cysteine, Histidine, Valine, Proline

For the following reactions \(\mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{CH}_{2} \mathrm{Br}+\mathrm{Z}^{-}\)\(\xrightarrow[{{\text{Sublimation}}}]{{{k_s}}} \mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{CH}_{2} \mathrm{Z}+\mathrm{Br}^{-}\) \(\mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{CH}_{2} \mathrm{Br}+\mathrm{Z}^{-}\)\(\xrightarrow[{{\text{elimination}}}]{{{k_e}}}\mathrm{CH}_{3} \mathrm{CH}= \mathrm{CH}_{2} +\mathrm{HZ}+\mathrm{Br}^{-}\) where  \(\mathrm{Z}^{-}=\mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{O}^{-}(\mathrm{A})\) or \(\begin{array}{*{20}{c}}
  {\,C{H_3}} \\ 
  {|\,\,\,\,\,} \\ 
  {C{H_3} - C - {O^ - }(B)} \\ 
  {|\,\,\,\,} \\ 
  {\,\,C{H_3}} 
\end{array}\) \(\mathrm{k}_{\mathrm{s}}\) and \(\mathrm{k}_{\mathrm{e}},\) are \(,\) respectively, the rate constants for the substitution and elimination, and \(\mu=\frac{\mathrm{k}_{\mathrm{s}}}{\mathrm{k}_{\mathrm{e}}},\) the correct options is

In the following reaction sequence The compound \(I\) is \(\mathop I\limits_{({C_3}{H_6}C{l_2})} \xrightarrow{{KOH(aq)}}II\xrightarrow[{(ii){H_2}O/{H^ + }}]{{(i)C{H_3}MgBr}}III\xrightarrow{{Anhy.ZnC{l_2} + Conc.HCl}}\) given turbidity immediately

In \(XeO_3F_2\), the number ofbond pair \((s)\), \(\pi -\) bond \((s)\) and lone pair \((s)\) on \(Xe\) atom respectively are:

Ferrous sulphate heptahydrate is used to fortify foods with iron. The amount (in \(grams\)) of the salt required to achieve \(10 \;ppm\) of iron in \(100 \;\mathrm{kg}\) of wheat is Atomic weight : \(Fe =55.85 ; \mathrm{S}=32.0\) \(\mathrm{O}=16.00\)

A capacitor \(C _{1}\) of capacitance \(5\,\mu F\) is charged to a potential of \(30\,V\) using a battery. The battery is then removed and the charged capacitor is connected to an uncharged capacitor \(C _{2}\) of capacitance \(10\,\mu F\) as shown in figure. When the switch is closed charge flows between the capacitors. At equilibrium, the charge on the capacitor \(C _{2}\) is________ \(\mu C\)

A particle of mass \(0.50 \mathrm{~kg}\) executes simple harmonic motion under force \(\mathrm{F}=-50\left(\mathrm{Nm}^{-1}\right) \mathrm{x}\). The time period of oscillation is \(\frac{x}{35} s\). The value of \(x\) is _______. (Given \(\pi=\frac{22}{7}\) )

Let the image of the point \(P (1,2,3)\) in the plane \(2 x\) \(-y+z=9\) be \(Q\). If the coordinates of the point \(R\) are \((6,10,7)\), then the square of the area of the triangle \(PQR\) is \(.....\).

The depression in freezing point observed for a formic acid solution of concentration \(0.5\,mL\,L ^{-1}\) is \(0.0405^{\circ}\,C\). Density of formic acid is \(1.05\,g\,mL ^{-1}\). The Van't Hoff factor of the formic acid solution is nearly: (Given for water \(k _{ f }=1.86\,K\,kg\,mol ^{-1}\) )

Given below are two statements: one is labelled as Assertion \(A\) and the other is labelled as Reason \(R\). Assertion \(A\) : Boric acid is a weak acid Reason \(R\) : Boric acid is not able to release \(H ^{+}\)ion on its own. It receives \(OH ^{-}\)ion from water and releases \(H ^{+}\)ion. In the light of the above statements, choose the most appropriate answer from the options given below.

A gas mixture consists of \(3\) moles of oxygen and \(5\) moles of argon at temperature \(T\). Assuming the gases to be ideal and the oxygen bond to be rigid, the total internal energy (in units of \(RT\) ) of the mixture is