\(pH\) value of \(0.001\, M \,NaOH\) solution is \(..... .\)

The formal charges on the atoms marked as (1) to (4) in the Lewis representation of \(HNO_{3}\) molecule respectively are

Consider ' \(n\) ' is the number of lone pair of electrons present in the equatorial position of the most stable structure of \(\mathrm{ClF}_3\). The ions from the following with ' \(n\) ' number of unpaired electrons are _______.
A. \(\mathrm{V}^{3+}\)
B. \(\mathrm{Ti}^{3+}\)
C. \(\mathrm{Cu}^{2+}\)
D. \(\mathrm{Ni}^{2+}\)
E. \(\mathrm{Ti}^{2+}\)
Choose the correct answer from the options given below:

The reaction that occurs in a breath analyser, a device used to determine the alcohol level in a person's blood stream is \(2 \mathrm{~K}_{2} \mathrm{Cr}_{2} \mathrm{O}_{7}+8 \mathrm{H}_{2} \mathrm{SO}_{4}+3 \mathrm{C}_{2} \mathrm{H}_{6} \mathrm{O} \rightarrow 2 \mathrm{Cr}_{2}\left(\mathrm{SO}_{4}\right)_{3}+\) \(3 \mathrm{C}_{2} \mathrm{H}_{4} \mathrm{O}_{2}+2 \mathrm{~K}_{2} \mathrm{SO}_{4}+11 \mathrm{H}_{2} \mathrm{O}\) If the rate of appearance of \(\mathrm{Cr}_{2}\left(\mathrm{SO}_{4}\right)_{3}\) is \(2.67 \,\mathrm{~mol}\) \(\min ^{-1}\) at a particular time, the rate of disappearance of \(\mathrm{C}_{2} \mathrm{H}_{6} \mathrm{O}\) at the same time is ...... \(\mathrm{mol}\, \mathrm{min}^{-1}\) (Nearest integer)

In qualitative test for identification of presence of phosphorous, the compound is heated with an oxidising agent. Which is further treated with nitric acid and ammonium molybdate respectively. The yellow coloured precipitate obtained is _______.

Chlorine on reaction with hot and concentrated sodium hydroxide gives

The one that can exhibit highest paramagnetic behaviour among the following is :- gly \(=\) glycinato; bpy \(=2,2\) '-bipyridine

Let \(f: \mathbf{R} \rightarrow \mathbf{R}\) be a twice differentiable function such that \(f(x+y)=f(x) f(y)\) for all \(x, y \in \mathbf{R}\). If \(f^{\prime}(0)=4 \mathrm{a}\) and \(f\) satisfies \(f^{\prime \prime}(x)-3 \mathrm{a} f^{\prime}(x)-f(x)=0\), \(\mathrm{a}\gt0\), then the area of the region \(\mathrm{R}=\{(x, y) \mid 0 \leq y \leq f(\mathrm{a} x), 0 \leq x \leq 2\}\) is:

If \(b\) is the first term of an infinite \(G.P\) whose sum is five, then \(b\) lies in the interval

The reason for double helical structure of \(DNA\) is the operation of

As shown in the figure, a point charge \(Q\) is placed at the centre of conducting spherical shell of inner radius a and outer radius \(b\). The electric field due to charge \(Q\) in three different regions I, II and III is given by: \(( I : r < a , II : a < r < b , III : r > b )\)

Let \(a_1, a_2, a_3, \ldots\) be an A.P. and \(g_1 = a_1, g_2, g_3, \ldots\) be an increasing G.P. If \(a_1 = a_2 + g_2 = 1\) and \(a_3 + g_3 = 4\), then \(a_{10} + g_5\) is equal to:

Given below are two statements:
Statement I: The correct order in terms of bond dissociation enthalpy is \(Cl_{2} > Br_{2} > F_{2} > I_{2}\).
Statement II: The correct trend in the covalent character of the metal halides is \([SnCl_{4} > SnCl_{2}]\), \([PbCl_{4} > PbCl_{2}]\) and \([UF_{4} > UF_{6}]\).
In the light of the above statements, choose the correct answer from the options given below :