The correct sequence of reagents for the preparation of \(Q\) and \(R\) is :

An octahedral complex of \(Co^{3+}\) is diamagnetic. The hybridisation involved in the formation of the complex is

In the given chemical reaction, colors of the \(\mathrm{Fe}^{2+}\) and \(\mathrm{Fe}^{3+}\) ions, are respectively : \(5 \mathrm{Fe}^{2+}+\mathrm{MnO}_{4}^{-}+8 \mathrm{H}^{+} \rightarrow \mathrm{Mn}^{2+}+4 \mathrm{H}_{2} \mathrm{O}+5 \mathrm{Fe}^{3+}\)

In a closed flask at \(600\) K, one mole of X\(_2\)Y\(_4\)(g) attains equilibrium as given below :
\(\text{X}_2\text{Y}_4(g) \rightleftharpoons 2\text{XY}_2(g)\)
At equilibrium, \(75\%\) X\(_2\)Y\(_4\)(g) was dissociated and the total pressure is \(1\) atm. The magnitude of \(\Delta_r G^{\ominus}\) (in kJ mol\(^{-1}\)) at this temperature is __________. (Nearest Integer) (Given : R \(= 8.3\) J mol\(^{-1}\) K\(^{-1}\); \(\ln 10 = 2.3\), \(\log 2 = 0.3\), \(\log 3 = 0.48\), \(\log 5 = 0.69\), \(\log 7 = 0.84\))

Number of paramagnetic oxides among the following given oxides is ..... . \(\mathrm{Li}_{2} \mathrm{O}, \mathrm{CaO}, \mathrm{Na}_{2} \mathrm{O}_{2}, \mathrm{KO}_{2}, \mathrm{MgO}\) and \(\mathrm{K}_{2} \mathrm{O}\)

\(1.22\, \mathrm{~g}\) of an organic acid is separately dissolved in \(100 \,\mathrm{~g}\) of benzene \(\left(\mathrm{K}_{\mathrm{b}}=2.6\, \mathrm{~K}\, \mathrm{~kg} \,\mathrm{~mol}^{-1}\right)\) and \(100\, \mathrm{~g}\) of acetone \(\left(\mathrm{K}_{b}=1.7\, \mathrm{~K} \,\mathrm{~kg} \,\mathrm{~mol}^{-1}\right) .\) The acid is known to dimerize in benzene but remain as a monomer in acetone. The boiling point of the solution in acetone increases by \(0.17^{\circ} \mathrm{C}\). The increase in boiling point of solution in benzene in \({ }^{\circ} \mathrm{C}\) is \(\mathrm{x} \times 10^{-2}\). The value of \(\mathrm{x}\) is ..... .(Nearest integer) \([\) Atomic mass : \(\mathrm{C}=12.0, \mathrm{H}=1.0, \mathrm{O}=16.0]\)

Given below are two statements, one is labelled as Assertion \(A\) and the other is labelled as Reason \(R\) Assertion \(A :\)- Carbon forms two important oxides \(- CO\) and \(CO _2 . CO\) is neutral whereas \(CO _2\) is acidic in nature. Reason \(R :\)- \(CO _2\) can combine with water in a limited way to form carbonic acid, while \(CO\) is sparingly soluble in water. In the light of the above statements, choose the most appropriate answer from the options given below :-

A closed vessel contains \(0.1\) mole of a monoatomic ideal gas at \(200\, K\). If \(0.05\) mole of the same gas at \(400\, K\) is added to it, the final  equilibrium temperature (in \(K\) ) of the gas in the vessel will be closed to

Let the equation of the plane passing through the line \(x-2 y-z-5=0=x+y+3 z-5\) and parallel to the line \(x + y +2 z -7=0=2 x +3 y + z -2\) be \(a x+b y+c z=65\). Then the distance of the point \((a, b, c)\) from the plane \(2 x+2 y-z+16=0\) is \(..........\).

The frequency \((v)\) of an oscillating liquid drop may depend upon radius \((r)\) of the drop, density \((\rho)\) of liquid and the surface tension \((s)\) of the liquid as : \(v=r^{ a } \rho^{ b } s ^{ c }\). The values of \(a , b\) and \(c\) respectively are

During estimation of nitrogen by Dumas' method of compound \(\mathrm{X}(0.42 \mathrm{~g})\) :

_____ mL of \(\mathrm{N}_2\) gas will be liberated at STP. (nearest integer)
(Given molar mass in \(\mathrm{g} \mathrm{mol}^{-1}: \mathrm{C}: 12, \mathrm{H}: 1\), \(\mathrm{N}: 14)\)

A \(9\, V\) battery with internal resistance of \(0.5\,\Omega \) is connected across an infinite network as shown in the figure. All ammeters \(A_1 , A_2, A_3\) and voltmeter \(V\) are ideal. Choose correct statement

An electron with speed \(v\) and a photon with speed \(c\) have the same \(de-Broglie\) wavelength. If the kinetic energy and momentum of electron are \(E_{ e }\) and \(pe _{ e }\) and that of photon are \(E _{ ph }\) and \(p _{ ph }\) respectively. Which of the following is correct?