The oxidation state of nickel in \(\left[\mathrm{Ni}\left(\mathrm{CO}_4\right)\right]\) 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: \(\left.E_{\mathrm{Ag}^{+} / \mathrm{Ag}}^o=a V ; \quad E_{\mathrm{Fe}^{2+} / \mathrm{Fe}}^o=b V ; E_{\mathrm{Fe}^{3+} / \mathrm{Fe}}^o=c V\right]\)

The electronic configuration of the element with atomic number 78 is:

Identify the law which is stated as "For any solutions, the partial vapour pressure of each volatile component in the solution is directly proportional to its mole fraction".

If the molar masses of two chemically non-reacting gases \(\text{A}_2\) and \(\text{B}_2\) are 28 amu and 32 amu respectively and 0.8g of \(\text{A}_2\) and 0.4g of \(\text{B}_2\) are enclosed in a container with a total pressure of 820 mm of Hg, then the partial pressure of \(\text{A}_2\) in atmosphere unit is ----------

A compound with molecular formula \(\text{C}_5\text{H}_{10}\) that gives acetone on ozonolysis is:

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

Match the reactions in Column I with the correct products given in Column II:
\(\begin{array}{|l|l|l|l|} \hline \text{S.N.} & \text{Column I} & \text{S.No.} & \text{Column II} \\ \hline \text{A} & 1- \text{Chloropropane} + (\mathrm{Zn} / \mathrm{HCl}) \rightarrow & \text{P} & \text{Propanone + Methanal} \\ \hline \text{B} & n- \text{Hexane + (anh.} \left.\mathrm{AlCl}_3 / \mathrm{HCl}_{(\mathrm{g})}\right) \rightarrow & \text{Q} & \text{Propanone} \\ \hline \text{C} & 2- \text{Methylpropene} + ( \left.\mathrm{O}_3 ~\&~ \mathrm{Zn} / \mathrm{H}_2 \mathrm{O}\right) \rightarrow & \text{R} & \text{Propane} \\ \hline \text{D} & \text{Propyne} +\left(\mathrm{HgSO}_4 / \mathrm{H}_2 \mathrm{SO}_4\right. at 333 K) \rightarrow & \text{S} & \text{2-Methylpentane + 3-Methylpentane} \\ \hline \end{array}\)

A long spring, when stretched by a distance \(x\), has potential energy \(U\). On increasing the stretching to \(n x\), the potential energy of the spring will be

A student unable to answer a question on Newton's laws of motion attempts to pull himself up by tugging on his hair. Me will not succeed

Differentiate \(\log _a x\) with respect to \(a^x\)

Which one of the following is incorrect?

Current \(I\) is flowing in a conductor shaped as shown in the figure. The radius of the curved part is \(r\) and the length of straight portion is very large. The value of the magnetic field at the centre \(O\) will be