Assertion \(A:\) Hydrolysis of an alkyl chloride is a slow reaction but in the presence of \(NaI\), the rate of the hydrolysis increases. Reason \(R : I^{-1}\) is a good nucleophile as well as a good leaving group. In the light of the above statements, choose the correct answer from the options given below.

The rate constant of a reaction increases by five times on increase in temperature from \(27^{\circ} C\) to \(52^{\circ} C\). The value of activation energy in \(kJ mol ^{-1}\) is \(.... .\) (Rounded-off to the nearest integer) \(\left[ R =8.314\, J \,K ^{-1} \,mol ^{-1}\right]\)

\(100\, \mathrm{~g}\) of propane is completely reacted with \(1000\, \mathrm{~g}\) of oxygen. The mole fraction of carbon dioxide in the resulting mixture is \(\mathrm{x} \times 10^{-2}\). The value of \(\mathrm{x}\) is ..... . (Nearest integer) [Atomic weight : \(\mathrm{H}=1.008 ; \mathrm{C}=12.00 ; \mathrm{O}=16.00\) ]

\(E _{ Cu ^{2+} \mid Cu }^{\circ}=+0.34 V\) \(E _{ Zn ^{2}+\mid Zn }^{ o }=-0.76 V\) Identify the incorrect statement from the options below for the above cell 

The number of nitrogen atoms in a semicarbazone molecule of acetone is \(.....\)

\(2.5 \mathrm{~g}\) of a non-volatile, non-electrolyte is dissolved in \(100 \mathrm{~g}\) of water at \(25^{\circ} \mathrm{C}\). The solution showed a boiling point elevation by \(2^{\circ} \mathrm{C}\). Assuming the solute concentration in negligible with respect to the solvent concentration, the vapour pressure of the resulting aqueous solution is _______ \(\mathrm{mm}\) of \(\mathrm{Hg}\) (nearest integer) [Given : Molal boiling point elevation constant of water \(\left(\mathrm{K}_{\mathrm{b}}\right)=0.52 \mathrm{K.} \mathrm{kg} \mathrm{mol}^{-1}\), \(1 \mathrm{~atm}\) pressure \(=760 \mathrm{~mm}\) of \(\mathrm{Hg}\), molar mass of water \(=18 \mathrm{~g} \mathrm{~mol}^{-1}\)

The total number of stereoisomers for the complex \(\left[ Cr ( ox )_2 ClBr ^{3-}\right.\) (where ox = oxalate) is:

Given below are two statements : Statement \((I)\) : dimensions of specific heat is \(\left[\mathrm{L}^2 \mathrm{~T}^{-2} \mathrm{~K}^{-1}\right]\) Statement \((II)\) : dimensions of gas constant is \(\left[\mathrm{ML}^2 \mathrm{~T}^{-1} \mathrm{~K}^{-1}\right]\)

The pressure wave, \(P = 0.01\,sin\,[1000t -3x]\,Nm^{-2},\) corresponds to the sound produced by a vibrating blade on a day when atmospheric temperature is \(0\,^oC.\) On some other day when temperature is \(T,\) the speed of sound produced by the same blade and at the same frequency is found to be \(336 \,ms^{-1}\). Approximate value of \(T\) is .... \(^oC\)

Statement \(I :\) The ferromagnetic property depends on temperature. At high temperature, ferromagnet becomes paramagnet. Statement \(II :\) At high temperature, the domain wall area of a ferromagnetic substance increases. In the light of the above statements, choose the most appropriate answer from the options given below :

Let \(a_1, a_2, a_3, \ldots \ldots\) be an A.P. If \(a_7=3\), the product \(a_1 a_4\) is minimum and the sum of its first \(n\) terms is zero, then \(n !-4 a_{n(n+2)}\) is equal to :

Number of molecules/species from the following having one unpaired electron is _______.
[\(\mathrm{O}_2, \mathrm{O}_2^{-1}, \mathrm{NO}, \mathrm{CN}^{-1}, \mathrm{O}_2^{2-}\)]

The number of species from the following in which the central atom uses \(\mathrm{sp}^3\) hybrid orbitals in its bonding is _______. [\(\mathrm{NH}_3, \mathrm{SO}_2, \mathrm{SiO}_2, \mathrm{BeCl}_2, \mathrm{CO}_2, \mathrm{H}_2 \mathrm{O}, \mathrm{CH}_4, \mathrm{BF}_3\)]