Identify the incorrect statement

The mechanism of \(S _{ N } 1\) reaction is given as \(R - X \rightarrow R ^{\oplus} X ^{\ominus} \rightarrow R ^{\oplus} \| X ^{\ominus} \stackrel{ Y^\ominus }{\rightarrow} R - Y + X ^{\ominus}\)                      Ion pair       Solvent separated ion pair A student writes general characteristics based on the given mechanism as: \((a)\) The reaction is favoured by weak nucleophiles \((b)\) \(R^ \oplus\) would be easily formed if the substituents are bulky \((c)\) The reaction is accompained by recemization \((d)\) The reaction is favoured by non-polar solvents. Which observations are correct \(?\)

A non-reducing sugar \("A"\) hydrolyses to give two reducing mono saccharides. Sugar \(A\) is

Salicylaldehyde is synthesized from phenol, when reacted with _______.

Number of stereo centers present in linear and cyclic structures of glucose are respectively

The products \(A\) and \(B\) in the following reactions, respectively are _______.
\(\mathrm{A} \stackrel{\mathrm{Ag}-\mathrm{NO}_2}{\longleftrightarrow} \mathrm{CH}_3-\mathrm{CH}_2-\mathrm{CH}_2-\mathrm{Br} \xrightarrow{\mathrm{AgCN}} \mathrm{B}\)

' X ' is the number of acidic oxides among \(\mathrm{VO}_2\), \(\mathrm{V}_2 \mathrm{O}_3, \mathrm{CrO}_3, \mathrm{~V}_2 \mathrm{O}_5\) and \(\mathrm{Mn}_2 \mathrm{O}_7\). The primary valency of cobalt in \(\left[\mathrm{Co}\left(\mathrm{H}_2 \mathrm{NCH}_2 \mathrm{CH}_2 \mathrm{NH}_2\right)_3\right]_2\left(\mathrm{SO}_4\right)_3\) is Y. The value of \(\mathrm{X}+\mathrm{Y}\) is _______.

For the reaction, \( N_{2}O_{4}\rightleftharpoons 2NO_{2}, \) graph is plotted as shown below. Identify correct statements.
A. Standard free energy change for the reaction is -5.40 kJ mol⁻¹.
B. As \( \Delta G^{\ominus} \) in graph is positive, \( N_{2}O_{4} \) will not dissociate into \( NO_{2} \) at all.
C. Reverse reaction will go to completion.
D. When 1 mole of \( N_{2}O_{4} \) changes into equilibrium mixture, value of \( \Delta G^{\ominus}=-0.84 \, kJ \, mol^{-1} \).
E. When 2 mole of \( NO_{2} \) changes into equilibrium mixture, \( \Delta G^{\ominus} \) for equilibrium mixture is -6.24 kJ mol⁻¹.

Choose the correct answer from the options given below:

Match List\(-I\) with List\(-II\) :

List\(-I\) (Metal Ion)	List\(-II\) (Group in Qualitative analysis)
\((a)\) \({Mn}^{2+}\)	\((i)\) Group \(- III\)
\((b)\) \({A} {s}^{3+}\)	\((ii)\) Group \(- IIA\)
\((c)\) \({Cu}^{2+}\)	\((iii)\) Group \(- IV\)
\((d)\) \({Al}^{3+}\)	\((iv)\) Group \(- IIB\)

Choose the most appropriate answer from the options given below :

During the transition of electron from state A to state C of a Bohr atom, the wavelength of emitted radiation is \(2000 Å\) and it becomes \(6000 Å\) when the electron jumps from state B to state C. Then the wavelength of the radiation emitted during the transition of electrons from state A to state B is _______.

For each \(t \in R\) ,let \(\left[ t \right]\) be the greatest interger less than or equal to \(t\) . Then \(\mathop {\lim }\limits_{x \to 0 + } x\left( {\left[ {\frac{1}{x}} \right] + \left[ {\frac{2}{x}} \right] + .\;.\;.\; + \left[ {\frac{{15}}{x}} \right]} \right) =\) . .. . .

The electrostatic potential due to an electric dipole at a distance '\(r\)' varies as _______.

Let \(a _1, \frac{ a _2}{2}, \frac{ a _3}{2^2}, \ldots ., \frac{ a _{10}}{2^9}\) be a G.P. of common ratio \(\frac{1}{\sqrt{2}}\). If \(a _1+ a _2+\ldots+ a _{10}=62\), then \(a _1\) is equal to \(:\)