The correct order of reactivity of \(CH_{3}Br\) in methanol with the following nucleophiles is:
\(F^{-}, I^{-}, C_{2}H_{5}O^{-}\) and \(C_{6}H_{5}O^{-}\)

Liquid \(‘M’\) and liquid \(‘N’\) form an ideal solution. The vapour pressures of pure liquids \(‘M’\) and \(‘N’\) are \(450\) and \(700\,mmHg,\) respectively at the same temperature. Then correct statement is:
( \(x_M =\) mole fraction of \(‘M’\) in solution; \(x_N =\) mole fraction of \(‘N’\) in solution;
\(y_M =\) mole fraction of \(‘M’\) in vapour phase; \(y_N =\) mole fraction of \(‘M’\) in vapour phase)

Given below are two statements:
Statement I: When an electric discharge is passed through gaseous hydrogen, the hydrogen molecules dissociate and the energetically excited hydrogen atoms produce electromagnetic radiation of discrete frequencies.
Statement II: The frequency of second line of Balmer series obtained from \( He^{+} \) is equal to that of first line of Lyman series obtained from hydrogen atom.
In the light of the above statements, choose the correct answer from the options given below:

Among the following vitamins the one whose deficiency causes rickets (bone deficiency) is

According to \(MO\) theory, number of species/ions from the following having identical bond order is \(.........\) \(CN ^{-}, NO ^{+}, O _{2}, O _{2}^{+}, O _{2}^{2+}\)

The standard reduction potentials at \(298 \mathrm{~K}\) for the following half cells are given below : \(\mathrm{Cr}_2 \mathrm{O}_7{ }^{2-}+14 \mathrm{H}^{+}+6 \mathrm{e}^{-} \rightarrow 2 \mathrm{Cr}^{3+}+7 \mathrm{H}_2 \mathrm{O}, \mathrm{E}^{\circ}=1.33 \mathrm{~V}\) \(\mathrm{Fe}^{3+}(\mathrm{aq})+3 \mathrm{e}^{-} \rightarrow \mathrm{Fe}  \mathrm{E}^{\circ}=-0.04 \mathrm{~V}\) \(\mathrm{Ni}^{2+}(\mathrm{aq})+2 \mathrm{e}^{-} \rightarrow \mathrm{Ni}  \mathrm{E}^{\circ}=-0.25 \mathrm{~V}\) \(\mathrm{Ag}^{+}(\mathrm{aq})+\mathrm{e}^{-} \rightarrow \mathrm{Ag} \mathrm{E}^{\circ}=0.80 \mathrm{~V}\) \(\mathrm{Au}^{3+}(\mathrm{aq})+3 \mathrm{e}^{-} \rightarrow \mathrm{Au} \mathrm{E}^{\circ}=1.40 \mathrm{~V}\) Consider the given electrochemical reactions, The number of metal\((s)\) which will be oxidized be \(\mathrm{Cr}_2 \mathrm{O}_7{ }^{2-}\), in aqueous solution is _______.

The solubility of \(AgCN\) in a buffer solution of \(pH =3\) is \(x\). The value of \(x\) is [Assume : No cyano complex is formed; \(K _{ sp }( AgCN )\) \(=2.2 \times 10^{-16}\) and \(\left. K _{ a }( HCN )=6.2 \times 10^{-10}\right]\)

In an experiment with a convex lens. The plot of the image distance (\(v'\)) against the object distance \(\left(\mu^{\prime}\right)\) measured from the focus gives a curve \(v^{\prime} \mu^{\prime}=225\). If all the distances are measured in \(cm\). The magnitude of the focal length of the lens is \(cm\).

Three positive numbers form an increasing \(G.P.\) If the middle term in this \(G.P.\) is doubled, the new numbers are in \(A.P.\) then the common ratio of the \(G.P.\) is:

A disc of radius \(R\) and mass \(M\) is rolling horizontally without slipping with speed \(v\). It then moves up an inclined smooth surface as shown in figure. The maximum height that the disc can go up the incline is _______.

A plane electromagnetic wave of frequency \(35\  \mathrm{MHz}\) travels in free space along the \(\mathrm{X}\)-direction. At a particular point (in space and time) \(\overrightarrow{\mathrm{E}}=9.6\  \hat{\mathrm{j}} \mathrm{V} / \mathrm{m}\). The value of magnetic field at this point is _______.

Let the equation of the plane, that passes through the point \((1,4,-3)\) and contains the line of intersection of the planes \(3 x-2 y+4 z-7=0\) and \(x+5 y-2 z+9=0\), be \(\alpha x+\beta y+\gamma z+3=0\), then \(\alpha+\beta+\gamma\) is equal to :

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