Consider the above reaction. The number of \(\pi\) electrons present in the product ' \(P\) ' is ...... .

Sea water, which can be considered as a 6 molar \((6 \mathrm{M})\) solution of NaCl , has a density of \(2 \mathrm{~g} \mathrm{~mL}^{-1}\). The concentration of dissolved oxygen \(\left(\mathrm{O}_2\right)\) in sea water is 5.8 ppm. Then the concentration of dissolved oxygen \(\left(\mathrm{O}_2\right)\) in sea water, is \(\mathrm{x} \times 10^{-4} \mathrm{~m}\). \(\mathrm{x}=\) _______. (Nearest integer)
Given: Molar mass of NaCl is \(58.5 \mathrm{~g} \mathrm{~mol}^{-1}\) Molar mass of \(\mathrm{O}_2\) is \(32 \mathrm{~g} \mathrm{~mol}^{-1}\)

Identity the incorrect pair from the following:

Concentrated \(HNO _{3}\) reacts with Iodine to give

Some \(\mathrm{CO}_2\) gas was kept in a sealed container at a pressure of 1 atm and at 273 K . This entire amount of \(\mathrm{CO}_2\) gas was later passed through an aqueous solution of \(\mathrm{Ca}(\mathrm{OH})_2\). The excess unreacted \(\mathrm{Ca}(\mathrm{OH})_2\) was later neutralized with 0.1 M of 40 mL HCl . If the volume of the sealed container of \(\mathrm{CO}_2\) was \(x\), then \(x\) is ________ \(\mathrm{cm}^3\) (nearest integer).
[Given : The entire amount of \(\mathrm{CO}_2(\mathrm{~g})\) reacted with exactly half the initial amount of \(\mathrm{Ca}(\mathrm{OH})_2\) present in the aqueous solution.]

The enthalpy change on freezing of \(1\, mol\) of water at \(5\,^oC\) to ice at \(-5\,^oC\) is .....\( kJ\, mol^{-1}\) (Given \({\Delta _{fus}}H = 6\, kJ\, mol^{-1}\) at \(0\,^oC\), \(C_p(H_2O, l) =75.3\, J\, mol^{-1} \, K^{-1}\) , \(C_p(H_2O, s) = 36.8\, J\, mol^{-1} \, K^{ -1}\) )

The molar conductivity for electrolytes \(A\) and \(B\) are plotted against \(C^{1 / 2}\) as shown below. Electrolytes \(A\) and \(B\) respectively are _______.

The basic structural unit of feldspar, zeolites, mica and asbestos is

A circle with centre \((2,3)\) and radius \(4\) intersects the line \(x + y =3\) at the points \(P\) and \(Q\). If the tangents at \(P\) and \(Q\) intersect at the point \(S(\alpha, \beta)\), then \(4 \alpha-7 \beta\) is equal to \(........\).

Match List \(I\) w1th List \(II\)

LIST \(I\) (Precipitating reagent and conditions)	LIST \(II\) (Cation)
\((A)\) \(\mathrm{NH}_4 \mathrm{Cl}+\mathrm{NH}_4 \mathrm{OH}\)	\((I)\) \(\mathrm{Mn}^{2+}\)
\((B)\) \(\mathrm{NH}_4 \mathrm{OH}+\mathrm{Na}_2 \mathrm{CO}_3\)	\((II)\) \(\mathrm{Pb}^{2+}\)
\((C)\) \(\mathrm{NH}_4 \mathrm{OH}+\mathrm{NH}_4 \mathrm{Cl}+\mathrm{H}_2 \mathrm{S}\) gas	\((III)\) \(\mathrm{Al}^{3+}\)
\((D)\) dilute \(\mathrm{HCl}\)	\((IV)\) \(\mathrm{Sr}^{2+}\)

Choose the correct answer from the options given below:

If the vectors \(\vec{a}=\lambda \hat{i}+\mu \hat{j}+4 \hat{k}, \vec{b}=2 \hat{i}+4 \hat{j}-2 \hat{k}\) and \(\vec{c}=2 \hat{i}+3 \hat{j}+\hat{k}\) are coplanar and the projection of \(\vec{a}\) on the vector \(\vec{b}\) is \(\sqrt{54}\) units, then the sum of all possible values of \(\lambda+\mu\) is equal to

The velocity of a particle executing SHM varies with displacement \(( x )\) as \(4 v ^2=50- x ^2\). The time period of oscillations is \(\frac{x}{7} s\). The value of \(x\) is \(............\) \(\left(\right.\) Take \(\left.\pi=\frac{22}{7}\right)\)

An alternating voltage source \(V =260 \sin (628\,t )\) is connected across a pure inductor of \(5\,mH\). Inductive reactance in the circuit is \(......... \Omega\)