Two compounds \(I\) and \(II\) are eluted by column chromato-graphy(adsorption of \(I> II\)). Which one of the following is a correct statement?

Electricity is passed through an acidic solution of \( Cu^{2+} \) till all the \( Cu^{2+} \) was exhausted, leading to the deposition of 300 mg of Cu metal. However, a current of 600 mA was continued to pass through the same solution for another 28 minutes by keeping the total volume of the solution fixed at 200 mL. The total volume of oxygen evolved at STP during the entire process is ______ mL.
(Nearest integer)
[Given :
\(Cu ^{2+}( aq )+2 e ^{-} \rightarrow Cu ( s ) E _{\text {red }}^0=+0.34 V\)
\(O _2(g)+4 H ^{+}+4 e ^{-} \rightarrow 2 H _2 O E _{ red }^0=+1.23 V\)
Molar mass of \(Cu =63.54~g~mol ^{-1}\)
Molar mass of \(O _2=32~g~mol ^{-1}\)
Faraday Constant \(=96500~C~mol ^{-1}\)
Molar volume at \(S T P=22.4 L\) ]

The correct statement about the synthesis of erythritol \((C(CH_2OH)_4)\) used in the preparation of \(PETN\) is

Lowest Oxidation number of an atom in a compound \(\mathrm{A}_2 \mathrm{~B}\) is -\(2\) . The number of an electron in its valence shell is _______.

Given below are two statements. One is labelled as Assertion \(A\) and the other is labelled as Reason \(R\). Assertion \(A\): Amylose is insoluble in water. Reason \(R\): Amylose is a long linear molecule with more than \(200\) glucose units. In the light of the above statements, choose the correct answer from the options given below.

Match List \(I\) with List \(II\) \(1-\) Bromopropane is reacted with reagents in List \(I\) to give product in List \(II\)

List\(I-\)  Reagent	List\(II-\)Product
\(A\) \(KOH (\text { alc) }\)	\(I\) Nitrile
\(B\) \(KCN \text { (alc) }\)	\(II\) Ester
\(C\) \(AgNO _2\)	\(III\) Alkene
\(D\) \(H _3 CCOOAg\)	\(IV\) Nitroalkane

The common positive oxidation states for an element with atomic number \(24,\) are :

Let \(\alpha=\dfrac{1}{4}+\dfrac{1}{8}+\dfrac{1}{16}+\ldots\infty\) and \(\beta=\dfrac{1}{3}+\dfrac{1}{9}+\dfrac{1}{27}+\ldots\infty\). Then the value of \((0.2)^{\log_{\sqrt{5}}(\alpha)}+(0.04)^{\log_5(\beta)}\) is equal to:

Let \((\alpha, \beta, \gamma)\) be the point \((8,5,7)\) in the line \(\frac{x-1}{2}=\frac{y+1}{3}=\frac{z-2}{5}\). Then \(\alpha+\beta+\gamma\) is equal to

Let a line passing through the point \((-1,2,3)\) intersect the lines \(L_1: \frac{x-1}{3}=\frac{y-2}{2}=\frac{z+1}{-2}\) at \(\mathrm{M}(\alpha, \beta, \gamma)\) and \(\mathrm{L}_2: \frac{\mathrm{x}+2}{-3}=\frac{\mathrm{y}-2}{-2}=\frac{\mathrm{z}-1}{4}\) at \(\mathrm{N}(\mathrm{a}, \mathrm{b}\), c). Then the value of \(\frac{(\alpha+\beta+\gamma)^2}{(a+b+c)^2}\) equals

Three rays of light, namely red (R), green (G) and blue (B) are incident on the face \(PQ\) of a right angled prism PQR as shown in figure. The refractive indices of the material of the prism for red, green and blue wavelength are \(1.27, 1.42\) and \(1.49\) respectively. The colour of the ray(s) emerging out of the face \(PR\) is:

To find the resistance of a galvanometer by the half deflection method the following circuit is used with resistances \(R_1 = 9970\,\Omega,\) \(R_2 = 30\,\Omega\) and \(R_3 = 0\,\Omega.\) The deflection in the galvanometer is \(d\). With \(R_3 = 107\,\Omega\) the deflection changed to \(\frac {d}{2}\)The galvanometer resistance is approximately ............... \(\Omega\)

The hybridisations of the atomic orbitals of nitrogen in \(\mathrm{NO}_{2}^{-}, \mathrm{NO}^{+} _2\) and \(\mathrm{NH}_{4}{ }^{+}\)respectively are.