Consider the following complexes. \((A)\) \(\left[\mathrm{CoCl}\left(\mathrm{NH}_3\right)_5\right]^{2+}\), \(\quad\) \((B)\) \(\left[\mathrm{Co}(\mathrm{CN})_6\right]^{3-} \text {, }\) \((C)\) \(\left[\mathrm{Co}\left(\mathrm{NH}_3\right)_5\left(\mathrm{H}_2 \mathrm{O}\right)\right]^{3+}\), \(\quad\) \((D)\) \(\left[\mathrm{Cu}\left(\mathrm{H}_2 \mathrm{O}\right)_4\right]^{2+}\) The correct order of \(A\), \(B\), \(C\) and \(D\) in terms of wavenumber of light absorbed is _______.

The reaction rate for the reaction \(\left[\mathrm{PtCl}_{4}\right]^{2-}+\mathrm{H}_{2} \mathrm{O} \rightleftharpoons\left[\mathrm{Pt}\left(\mathrm{H}_{2} \mathrm{O}\right) \mathrm{Cl}_{3}\right]^{-}+\mathrm{Cl}^{-}\) was measured as a function of concentrations of different species. It was observed that \(\frac{-\mathrm{d}\left[\left[\mathrm{PtCl}_{4}\right]^{2-}\right]}{\mathrm{dt}}=4.8 \times 10^{-5}\left[\left[\mathrm{PtCl}_{4}\right]^{2-}\right]-2.4 \times10^{-3}\)
\(\left[\left[\mathrm{Pt}\left(\mathrm{H}_{2} \mathrm{O}\right) \mathrm{Cl}_{3}\right]^{-}\right]\left[\mathrm{Cl}^{-}\right]\) where square brackets are used to denote molar concentrations. The equilibrium constant \(\mathrm{K}_{\mathrm{c}}=....\). (Nearest integer)

Which of the following is least basic?

The number of bridged oxygen atoms present in compound \(B\) formed from the following reactions is \(Pb \left( NO _{3}\right)_{2} \stackrel{673 K }{\longrightarrow} A + PbO + O _{2}\) \(A \stackrel{\text { Dimerise }}{\longrightarrow} B\)

MX is a sparingly soluble salt that follows the given solubility equilibrium at 298 K \(MX ( s ) \rightleftharpoons M ^{+}( aq )+ X ^{-}( aq ) ; K _{ sp }=10^{-10}\) If the standard reduction potential for \(M ^{+}( aq ) \xrightarrow{+ e ^{-}} M ( s )\) is \(\left( E _{ M ^{+} / M }^{\ominus}\right)=0.79 V\), then the value of the standard reduction potential for the metal/metal insoluble salt electrode \(E _{ X ^{-} / MX ( s ) / M }^{\ominus}\) is __________ mV. (nearest integer) [Given: \(\frac{2.303 R T}{F}=0.059 V\) ]

Consider the following reaction \(\mathrm{MnO}_2+\mathrm{KOH}+\mathrm{O}_2 \rightarrow \mathrm{A}+\mathrm{H}_2 \mathrm{O} .\) Product ' \(A\) ' in neutral or acidic medium disproportionate to give products ' \(\mathrm{B}\) ' and ' \(\mathrm{C}\) ' along with water. The sum of spin-only magnetic moment values of \(B\) and \(C\) is _______ \(BM\). (nearest integer) (Given atomic number of \(\mathrm{Mn}\) is \(25\) )

Given below are two statements: Statement \((I)\) : In the Lanthanoids, the formation of \(\mathrm{Ce}^{+4}\) is favoured by its noble gas configuration. Statement \((II)\) : \(\mathrm{Ce}^{+4}\) is a strong oxidant reverting to the common \(+3\) state. In the light of the above statements, choose the most appropriate answer from the options given below:

A single turn current loop in the shape of a right angle triangle with sides \(5\,cm , 12\,cm , 13\,cm\) is carrying a current of \(2\,A\). The loop is in a uniform magnetic field of magnitude \(0.75\,T\) whose direction is parallel to the current in the \(13\,cm\) side of the loop. The magnitude of the magnetic force on the \(5\,cm\) side will be \(\frac{ x }{130}\,N\). The value of \(x\) is \(..........\)

The sum of all values of \(\theta \, \in \,\left( {0,\frac{\pi }{2}} \right)\) satisfying \({\sin ^2}\,2\theta  + {\cos ^4}\,2\theta  = \frac{3}{4}\) is

A bullet of mass \(0.1\,kg\) moving horizontally with speed \(400\,ms ^{-1}\) hits a wooden block of mass \(3.9\,kg\) kept on a horizontal rough surface. The bullet gets embedded into the block and moves \(20\,m\) before coming to rest. The coefficient of friction between the block and the surface is \(........\) \(\left(\text { Given } g=10 \,ms ^2\right. \text { ) }\)

A proton (mass \(m\) ) accelerated by a potential difference \(V\)  flies through a uniform transverse magnetic field \(B.\) The field occupies a region of space by width \('d'\). If \(\alpha \) be the angle of deviation of proton from initial direction of motion (see figure), the value of \(sin\,\alpha \) will be

Let the coefficients of three consecutive terms \(T_r, T_{r+1}\) and \(T_{r+2}\) in the binomial expansion of \((a+b)^{12}\) be in a G.P. and let \(p\) be the number of all possible values of \(r\). Let \(q\) be the sum of all rational terms in the binomial expansion of \((\sqrt[4]{3}+\sqrt[3]{4})^{12}\). Then \(\mathrm{p}+\mathrm{q}\) is equal to :

A diatomic gas with rigid molecules does \(10\, J\) of work when expanded at constant pressure. What would be the heat energy absorbed by the gas, in this process ..... \(J\).