Match the organic compounds in column \(-I\) with the Lassaigne's test results in column \(-II\) appropriately

Column \(-I\)	Column \(-II\)
\((A)\) Aniline	\((i)\) Red colour with \(FeCl_3\)
\((B)\) Benzene sulfonic acid	\((ii)\) Violet colour with sodium nitroprusside
\((C)\) Thiourea	\((iii)\) Blue colour with hot and acidic solution of \(FeSO_ 4\)

Consider the electrochemical cell:
Pt | \(O_{2}\)(g) (1 bar) | HCl (aq) || \(M^{2+}\) (aq, 1.0 M) | M(s). The pH above which, oxygen gas would start to evolve at anode is _______ (nearest integer).
\(\left[\begin{array}{ll}\text { Given : } \left.\begin{array}{l} E _{ M ^{2+} / M }^0=0.994 V \\ E _{ O _2 / H _2 O }^0=1.23 V\end{array}\right\} \\ \text { standard reduction potential } \\ \text { and } \frac{ RT }{ F }(2.303)=0.059 V \text { at the given condition }\end{array}\right]\)

The incorrect relationship in the following pairs in relation to ionisation enthalpies is _______.

The IUPAC name of the following compound is :

The spin-only magnetic moment value of an octahedral complex among \(CoCl _{3} \cdot 4 NH _{3}\), \(NiCl _{2} \cdot 6 H _{2} O\) and \(PtCl _{4} \cdot 2 HCl\), which upon reaction with excess of \(AgNO _{3}\) gives \(2\, moles\) of \(AgCl\) is \(....\,B.M.\) (Nearest Integer)

The \("N"\) which does not contribute to the basicity for the compound is

Choose the Incorrect Statement about Dalton's Atomic Theory.

Suppose the vectors \(x_{1}, x_{2}\) and \(x_{3}\) are the solutions of the system of linear equations, \(Ax = b\) when the vector \(b\) on the right side is equal to \(b _{1}, b _{2}\) and \(b _{3}\) respectively. If \(x =\left[\begin{array}{l}1 \\ 1 \\ 1\end{array}\right], x _{2}=\left[\begin{array}{l}0 \\ 2 \\ 1\end{array}\right], x _{3}=\left[\begin{array}{l}0 \\ 0 \\ 1\end{array}\right], b _{1}=\left[\begin{array}{l}1 \\ 0 \\ 0\end{array}\right]\) \(b _{2}=\left[\begin{array}{l}0 \\ 2 \\ 0\end{array}\right]\) and \(b _{3}=\left[\begin{array}{l}0 \\ 0 \\ 2\end{array}\right],\) then the determinant of \(A\) is equal to

Let \(\vec{a}=\hat{i}+\hat{j}-\hat{k}\) and \(\vec{c}=2 \hat{i}-3 \hat{j}+2 \hat{k}\). Then the number of vectors \(\vec{b}\) such that \(\vec{b} \times \vec{c}=\vec{a}\) and \(|\vec{b}| \in\{1,2, \ldots ., 10\}\) is

Let the matrix \(A=\left[\begin{array}{lll}1 & 0 & 0 \\ 1 & 0 & 1 \\ 0 & 1 & 0\end{array}\right]\) satisfy \(A^n=A^{n-2}+A^2-I\) for \(\mathrm{n} \geq 3\). Then the sum of all the elements of \(\mathrm{A}^{50}\) is :-

Let \(f(\mathrm{x})= \begin{cases}(1+\mathrm{ax})^{1 / \mathrm{x}} & , \quad \mathrm{x} \lt 0 \\ 1+\mathrm{b} & , \quad \mathrm{x}=0 \\ \frac{(\mathrm{x}+4)^{1 / 2}-2}{(\mathrm{x}+\mathrm{c})^{1 / 3}-2} & ,\end{cases}\)
be continuous at \(x=0\). Then \(e^a b c\) is equal to

An \(n.p.n\) transistor with current gain \(\beta=100\) in common emitter configuration is shown in figure. The output voltage of the amplifier will be\(.....V\)

Let the sixth term in the binomial expansion of \(\left(\sqrt{2^{\log _2}\left(10-3^x\right)}+\sqrt[5]{2^{(x-2) \log _2 3}}\right)^m\), in the increasing powers of \(2^{(x-2) \log _2 3}\), be \(21\) . If the binomial coefficients of the second, third and fourth terms in the expansion are respectively the first, third and fifth terms of an \(A.P.\), then the sum of the squares of all possible values of \(x\) is \(.........\).