When \(\mathrm{KBr}\) is dissolved in water, \(\mathrm{K}^{+}\)ions are

Two ions \(A^{+}\)and \(B^{-}\)have radii 104 and 200 pm respectively, in a cubic close packed crystal of compound \(A B\). The coordination number of \(A^{+}\) is

Match the reaction in Column I with the major product formed given in Column II.
\(\begin{array}{|l|l|l|} \hline & \text { Column I- Reaction/conditions } & & \text { Column II- Product } \\ \hline A & \mathrm{C}_6 \mathrm{H}_6 \xrightarrow[\substack{\text{(ii) NaOH} \\ \text{(iii) H^+}}]{\text{(i) Oleum}} & P & \text { Pentan-2-ol. } \\ \hline B & \text{Butanal } \xrightarrow[\text{(ii) } \mathrm{H}^+]{\text{(i) } \text{MeMgBr/ dry ether}} & Q & \text { 2-Hydroxybenzoic acid. } \\ \hline C & \text {2-Methylpropene } \xrightarrow[\text { (ii) } \mathrm{H}_2 \mathrm{O}_2 / \mathrm{NaOH}]{\text { (i) } \mathrm{B}_2 \mathrm{H}_6} & R & \text { Phenol } \\ \hline D & \text{Phenol } \xrightarrow[\text { (ii) } \mathrm{CO}_2, 400 \mathrm{~K}, 7 \mathrm{~atm} .]{\text { (i) } \mathrm{NaOH}} & S & \text { 2-Methylpropan-1-0 I } \\ \hline \end{array}\)

The reducing agent which is used to reduce iron oxide in blast furnace is

Gaseous Nitrous oxide decomposes at \(298 \mathrm{~K}\) to form Nitrogen gas and Oxygen gas. The \(\Delta \mathbf{H}\) for the reaction at \(1.0 \mathrm{~atm}\) pressure and \(298 \mathrm{~K}\) is \(\mathbf{- 1 6 3 . 1 5} \mathbf{~ k J}\). Calculate Internal energy change for the decomposition of \(100 \mathrm{~g}\) of Nitrous oxide gas under the same conditions of temperature and pressure.

A nitrogen containing organic compound gave an oily liquid on heating with bromine and potassium hydroxide solution. On shaking the product with acetic anhydride, an antipyretic drug was obtaine(d) The reactions indicate that the starting compound is

In the reaction,
\(F e_{(a q)}^{2+}+A g_{(a q)}^{+} \rightarrow F e_{(a q)}^{3+}+A g_{(s)}\)

The standard emf \(\left(\mathrm{E}^{\circ}\right)\) of the cell is:
\(\left[\right.\) Given: \(\left.E_{\mathrm{Ag}^{+} / \mathrm{Ag}}^o=a V ; \quad E_{\mathrm{Fe}^{2+} / \mathrm{Fe}}^o=b V ; E_{\mathrm{Fe}^{3+} / \mathrm{Fe}}^o=c V\right]\)

Consider the cell
\(\mathrm{Pt}\left|\mathrm{H}_2(\mathrm{~g})(1 \mathrm{bar})\right| \mathrm{H}^{+}(\mathrm{aq}) \| \mathrm{Cu}^{2+}(\mathrm{aq}) \mid \mathrm{Cu}\)

At 298 K , the emf of the cell is 0.31 V . The pH of the acidic solution is 3 . The concentration of \(\mathrm{Cu}^{2+}\) is:

If \(\cos \theta=\dfrac{1}{2}\left(x+\dfrac{1}{x}\right)\) then \(\dfrac{1}{2}\left(x^2+\dfrac{1}{x^2}\right)=\)

The spin only magnetic moment of \(\mathrm{Ni}^{2+}(\) in \(\mathrm{BM})\) in aqueous solution will be

According to Molecular orbital theory, which of the following is correct with respect to bond order?

The area of the upper half of the circle whose equation is \((x-1)^2+y^2=1\) is given by

Let a, b, c be three vector such that \(a \neq 0\) and \(\vec{a} \times \vec{b}=2 \vec{a} \times \vec{c},|a|=|c|=1,|b|=4\) and \(|\vec{b} \times \vec{c}|=\sqrt{15}\). If \(\vec{b}-2 \vec{c}=\lambda \vec{a}\) then \(\lambda\) equals to