Phthalic acid reacts with resorcinol in the presence of concentrated \(H_2SO_4\) to give

\(600\,mL\) of \(0.01\,M\,HCl\) is mixed with \(400\,mL\) of \(0.01\,M\,H _2 SO _4\). The \(pH\) of the mixture is \(.......\times 10^{-2}\). (Nearest integer) [Given \(\log 2=0.30, \quad \log 3=0.48\) \(\log 5=0.69 \quad \log 7=0.84\) \(\log 11=1.04]\)

Given below are two statements : Statement \(I:\) Upon heating a borax bead dipped in cupric sulphate in a luminous flame, the colour of the bead becomes green. Statement \(II:\) The green colour observed is due to the formation of copper(I) metaborate. In the light of the above statements, choose the most appropriate answer from the options given below :

Compound \(A\) gives \(D-\)Galactose and \(D-\)Glucose on hydrolysis. The compound \(A\) is:

Find out the statements which are not true.
A. Resonating structure with more number of covalent bonds and lesser charge separation are more stable.
B. In electromeric effect, an unsaturated system shows + E effect with nucleophile and - E effect with electrophile.
C. Inductive effect is responsible for high melting point, boiling point and dipole moment of polar compounds.
D. The greater the number of alkyl groups attached to the doubly bonded carbon atoms, higher is the heat of hydrogenation.
E. Stability of carbanion increases with the increase in s-character of the carbon carrying the negative charge.
Choose the correct answer from the options given below.

Which of the following electrolyte can be used to obtain \(\mathrm{H}_2 \mathrm{~S}_2 \mathrm{O}_8\) by the process of electrolysis?

The number of \(P - O - P\) bonds in \(H _4 P _2 O _7\), \(\left( HPO _3\right)_3\) and \(P _4 O _{10}\) are respectively.

Given below are two statements: one is labelled as Assertion \((A)\) and the other is labelled as Reason \((R)\) Assertion \((A) :\) At \(10^{\circ} C\), the density of a \(5\, M\) solution of \(KCl\) [atomic masses of \(K\) and \(Cl\) are \(39\) and \(35.5\, g \,mol ^{-1}\) ]. The solution is cooled to \(-21^{\circ} C\). The molality of the solution will remain unchanged. Reason \((R):\) The molality of a solution does not change with temperature as mass remains unaffected with temperature. In the light of the above statements, choose the correct answer from the options given below

The area (in \(sq. units\)) of the smaller of the two circles that touch the parabola, \(y^2 = 4x\) at the points \((1, 2)\) and the axis is

\(9.3 \mathrm{~g}\) of aniline is subjected to reaction with excess of acetic anhydride to prepare acetanilide. The mass of acetanilide produced if the reaction is _________\(100 \%\) completed is \(\times 10^{-1} \mathrm{~g}\). (Given molar mass in \(\mathrm{g} \mathrm{mol}^{-1} \mathrm{~N}: 14, \mathrm{O}: 16, \mathrm{C}\) : \(12, \mathrm{H}: 1)\)

For complete combustion of methanol \(CH _{3} OH (1)+\frac{3}{2} O _{2}( g ) \rightarrow CO _{2}( g )+2 H _{2} O (1)\) the amount of heat produced as measured by bomb calorimeter is \(726 \,kJ\, mol ^{-1}\) at \(27^{\circ} C\). The enthalpy of combustion for the reaction is \(- x \,kJ\,mol ^{-1}\), where \(x\) is \(.....\) (Nearest integer) \(\left(\right.\) Given \(: R =8.3\, J\,K ^{-1} \,mol ^{-1}\) )

In a transverse wave the distance between a crest and neighbouring trough at the same instant is \(4.0\, cm\) and the distance between a crest and trough at the same place is \(1 .0\, cm\) . The next crest appears at the same place after a time interval of \(0.4\,s\). The maximum speed of the vibrating particles in the medium is

If a charge \(q\) is placed at the centre of a closed hemispherical non-conducting surface, the total flux passing through the flat surface would be