Identify the correct statements from the following. (i) In the oxidation of oxalic acid with \(\mathrm{KMnO}_4\) in acid medium, \(\mathrm{Mn}^{2+}\) acts as auto catalyst. (ii) CdS colloidal solution can be precipitated by the addition of \(\mathrm{Cl}\) ions. (iii) The gold numbers of three protective colloids \((A, B, C)\) is \(0.03,25\) and 0.25 respectively. Their protective power follows the order \(A>C>B\). (iv) Physisorption is an irreversible process.

Find out the hybridisations of \(\mathrm{C}_1, \mathrm{C}_2\) and \(\mathrm{C}_3\) labelled carbon atoms in the given molecule

Calculate the emf of the cell \(\mathrm{Cu}(s)\left|\mathrm{Cu}^{2+}(a q)\right|\left|\mathrm{Ag}^{+}(a q)\right| \mathrm{Ag}(s)\) Given \(E_{\mathrm{Cu}^{2+} / \mathrm{Cu}}^0=+0.34 \mathrm{~V}, E_{\mathrm{Ag}^{+} / \mathrm{Ag}}^0=0.80 \mathrm{~V}\)

The number of hydrogen bonds between guanine and cytosine; and between adenine and thymine in DNA is

The bond angle in A is X and

bond angle in B in Y . What are X and Y ?
\(\begin{array}{|c|c|}\hline \mathrm{H}_3 \mathrm{C} -\mathrm{OH} & \mathrm{H}_3 \mathrm{C} -\mathrm{O \mathrm{CH}_3} \\hline A & B \\hline\end{array}\)

A polymer contains 50 molecules with molecular mass 5000, 100 molecules with molecular mass 10,000 and 50 molecules with molecular mass 15,000. Calculate number average molecular mass?

Which of the following reaction leads to the formation of benzonitrile?

Let \(\overrightarrow{\mathbf{a}}=a_1 \hat{\mathbf{i}}+a_2 \hat{\mathbf{j}}+a_3 \hat{\mathbf{k}}\) Assertion (A) : The identity \(|\overrightarrow{\mathbf{a}} \times \hat{\mathbf{i}}|^2+|\overrightarrow{\mathbf{a}} \times \hat{\mathbf{j}}|^2+|\overrightarrow{\mathbf{a}} \times \hat{\mathbf{k}}|^2=2|\overrightarrow{\mathbf{a}}|^2\) holds for \(\vec{a}\). Reason (R) : \(\overrightarrow{\mathbf{a}} \times \hat{\mathbf{i}}=a_3 \hat{\mathbf{j}}-a_2 \hat{\mathbf{k}}\), \(\overrightarrow{\mathbf{a}} \times \hat{\mathbf{j}}=a_1 \hat{\mathbf{k}}-a_3 \hat{\mathbf{i}}, \overrightarrow{\mathbf{a}} \times \hat{\mathbf{k}}=a_2 \hat{\mathbf{i}}-a_1 \hat{\mathbf{j}}\) Which of the following is correct?

The sum of all the roots of the equation \(\left|\begin{array}{ccc}x & -3 & 2 \\ -1 & -2 & (x-1) \\ 1 & (x-2) & 3\end{array}\right|=0\) is

If \(y=\frac{(x+1)^2 \sqrt{x-1}}{(x+4)^3 e^x}\), then \(\frac{d y}{d x}=\)

Charge passing through a conductor of cross-section area \(A=0.3 \mathrm{~m}^2\) is given by \(q=3 t^2+5 t+2\) in coulomb, where \(t\) is in second. What is the value of drift velocity at \(t=2 \mathrm{~s}\) ? (Given, \(n=2 \times 10^{25} / \mathrm{m}^3\) )

If \(\frac{1}{2.7}+\frac{1}{7.12}+\frac{1}{12.17}+\frac{1}{17.22}+\ldots\) to 10 terms \(=\mathrm{k}\), then \(\mathrm{k}=\)

Match the following:


The correct answer is \(\begin{array}{lll} \text { A } & \text { B } & \text { C } & \text{D} \end{array}\)