Match List\(-I\) with List\(-II\).

List\(-I\)	List\(-II\)
\(A\) \(16\,g \text { of } CH _{4( g )}\)	\(I\) Weighs \(28\,g\)
\(B\) \(1\,g \text { of } H _{2( g )}\)	\(II\) \(60.2 \times 10^{23}\) electrons
\(C\) \(1\,mole \text { of } N _{2( g )}\)	\(III\) Weighs \(32\,g\)
\(D\) \(0.5\,mol\) of \(SO _{2( g )}\)	\(IV\) Occupies \(11.4\,L\) volume at STP

Choose the correct answer from the options given below:

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)

Among \(Fe^{2+}, Fe^{3+}, Cr^{2+}\) and \(Zn^{2+}\), the ion that shows positive borax bead test and with highest ionisation enthalpy is:

Identify the incorrect statement

The pH of a 0.01 M weak acid \(\mathrm{HX}\left(\mathrm{K}_{\mathrm{a}}=4 \times 10^{-10}\right)\) is found to be 5. Now the acid solution is diluted with excess of water so that the pH of the solution changes to 6. The new concentration of the diluted weak acid is given as \(x \times 10^{-4} \mathrm{M}\). The value of x is ________ (nearest integer)

Given is a concentrated solution of a weak electrolyte \(A_xB_y\) of concentration 'c' and dissociation constant 'K'. The degree of dissociation is given by :

\(0.2\, g\) of an organic compound was subjected to estimation of nitrogen by Dumas method in which volume of \(N _{2}\) evolved (at STP) was found to be \(22.400 \,mL\). The percentage of nitrogen in the compound is \(.......\). [nearest integer] (Given: Molar mass of \(N _{2}\) is \(28\, mol ^{-1}\). Molar volume of \(N _{2}\) at STP : \(22.4\, L\) )

The energy of an electron in first Bohr orbit of H -atom is -13.6 eV. The magnitude of energy value of electron in the first excited state of \(\mathrm{Be}^{3+}\) is ________ eV. (nearest integer value)

Match List\(-I\) with List\(-II\)

List\(-I\) Name of oxo acid	List\(-II\) Oxidation state of \(P\)
\((a)\) Hypo phosphorous acid	\((i) +5\)
\((b)\) Orthophosphoric acid	\((ii)+4\)
\((c)\) Hypo phosphoric acid	\((iii) +3\)
\((d)\) Orth phosphorous acid	\((iv)+2\)
	\((v)+1\)

Choose the correct answer from the options given below

The time period of a satellite of earth is \(24\) hours. If the separation between the earth and the satellite is decreased to one fourth of the previous value, then its new time period will become \(.......\,hours\)

Two monochromatic light beams have intensities in the ratio 1:9. An interference pattern is obtained by these beams. The ratio of the intensities of maximum to minimum is _______.

Given below are two statements: Statement-\(I\): Figure shows the variation of stopping potential with frequency \((v)\) for the two photosensitive materials \(M_1\) and \(M_2\). The slope gives value of \(\frac{h}{e}\), where \(h\) is Planck's constant, \(e\) is the charge of electron. Statement-\(II\): \(M_2\) will emit photoelectrons of greater kinetic energy for the incident radiation having same frequency. In the light of the above statements, choose the most appropriate answer from the options given below.

In the given circuit, rms value of current \(\left( I _{ rms }\right)\) through the resistor \(R\) is :\(..........\,A\)