Match List-I with List-II

Choose the correct answer from the options given below :

For the following reactions, equilibrium constants are given \(S\left( s \right) + {O_2}\left( g \right) \rightleftharpoons S{O_2}\left( g \right);{K_1} = {10^{52}}\) \(2S\left( s \right) + 3{O_2}\left( g \right) \rightleftharpoons 2S{O_3}\left( g \right);{K_2} = {10^{129}}\) The equilibrium constant for the reaction \(2S{O_2}\left( g \right) + {O_2}\left( g \right) \rightleftharpoons 2S{O_3}\left( g \right)\) is

The number of optical isomers in following compound is _______.

The correct statement about the magnetic properties of \([Fe(CN)_6]^{3-}\) and \([FeF_6]^{3-}\) is \((Z= 26)\)

Given  \((A)\) \(2 CO ( g )+ O _2( g ) \rightarrow 2 CO _2( g ) \quad \Delta H _1^\theta=- x\,kJ\,mol { }^{-1}\) \((B)\) \(C\) (graphite) \(+ O _2\) (g) \(\rightarrow CO _2\) (g) \(\Delta H _2^\theta=- y\,kJ\,mol -1\) The \(\Delta H ^\theta\) for the reaction \(......\).\(C (\) graphite \()+\frac{1}{2} O _2( g ) \rightarrow CO ( g )\) is

Following figure shows dependence of molar conductance of two electrolytes on concentration. \(\Lambda \stackrel{0}{ m }\) is the limiting molar conductivity.The number of Incorrect statement(s) from the following is \(...........\) \((A)\) \(\Lambda \stackrel{0}{ m }\) for electrolyte \(A\) is obtained by extrapolation \((B)\) For electrolyte B, vx \(\Lambda m\) vs \(\sqrt{ c }\) graph is a straight line with intercept equal to \(\Lambda \stackrel{0}{ m }\) \((C)\) At infinite dilution, the value of degree of dissociation approach zero for electrolyte \(B\). \((D)\) \(\Lambda \stackrel{0}{ m }\) for any electrolyte \(A\) or \(B\) can be calculated using \(\lambda^{\circ}\) for individual ions.

The wavelength of an electron of kinetic energy \(4.50 \times 10^{-29}\,J\) is \(\ldots . . \times 10^{-5}\,m\). (Nearest integer)Given : mass of electron is \(9 \times 10^{-31}\,kg , h =6.6 \times\) \(10^{-34}\,J s\)

In the given TLC, the distance of spot A & B are \(5 cm \& 7 cm\), from the bottom of TLC plate, respectively.
\(R _{ f }\) value of B is \(x \times 10^{-1}\) times more than A . The value of \(x\) is _______.

Consider the following reaction:

The product Y formed is :

There are \(m\) men and two women participating in a chess tournament. Each participant plays two games with every other participant. If the number of games played by the men between themselves exceeds the number of games played between the men and the women by \(84,\) then the value of \(m\) is

Let a triangle be bounded by the lines \(L _{1}: 2 x +5 y =10\); \(L _{2}:-4 x +3 y =12\) and the line \(L _{3}\), which passes through the point \(P (2,3)\), intersect \(L _{2}\) at \(A\) and \(L _{1}\) at \(B\). If the point \(P\) divides the line-segment \(A B\), internally in the ratio \(1: 3\), then the area of the triangle is equal to

A conducting metal circular-wire-loop of radius \(r\) is placed perpendicular to a magnetic field which varies with time as \(B = {B_0}{e^{\frac{{ - t}}{\tau }}}\) , where \(B_0\) and \(\tau \) are constants, at time \(t = 0\). If the resistance of the loop is \(R\) then the heat generated in the loop after a long time \(\left( {t \to \infty } \right)\) is

Seven identical circular planar disks, each of mass \(M\) and radius \(R\) are welded symmetrically as shown. The moment of inertia of the arrangement about the axis normal to the plane and passing through the point \(P\) is: