Given \(E^o_{Cl_2/Cl^-} = 1.36\,V,\)   \(E^o_{Cr^{3+}/Cr}= -0.74\,V,\) \(E^o_{Cr_2/O_7^{2-}/Cr^{3+}}=1.33\,V,\)   \(E^o_{MnO^-_4/Mn^{2+}} = 1.51\,V\) Among the following, the strongest reducing agent is

\(2.5 \mathrm{~g}\) of a non-volatile, non-electrolyte is dissolved in \(100 \mathrm{~g}\) of water at \(25^{\circ} \mathrm{C}\). The solution showed a boiling point elevation by \(2^{\circ} \mathrm{C}\). Assuming the solute concentration in negligible with respect to the solvent concentration, the vapour pressure of the resulting aqueous solution is _______ \(\mathrm{mm}\) of \(\mathrm{Hg}\) (nearest integer) [Given : Molal boiling point elevation constant of water \(\left(\mathrm{K}_{\mathrm{b}}\right)=0.52 \mathrm{K.} \mathrm{kg} \mathrm{mol}^{-1}\), \(1 \mathrm{~atm}\) pressure \(=760 \mathrm{~mm}\) of \(\mathrm{Hg}\), molar mass of water \(=18 \mathrm{~g} \mathrm{~mol}^{-1}\)

Among the following oxides of 3d elements, the number of mixed oxides are _______
\(Ti_{2}O_{3}, V_{2}O_{4}, Cr_{2}O_{3}, Mn_{3}O_{4}, Fe_{3}O_{4}, Fe_{2}O_{3}, Co_{3}O_{4}\)

Given below are two statements :
Statement (I) : Neopentane forms only one monosubstituted derivative.
Statement (II) : Melting point of neopentane is higher than n-pentane
In the light of the above statements, choose the most appropriate answer from the options given below :

Given below are two statements: one is labelled as Assertion \((A)\) and the other is labelled as Reason \((R)\). Assertion \((A)\) : In aqueous solutions \(\mathrm{Cr}^{2+}\) is reducing while \(\mathrm{Mn}^{3+}\) is oxidising in nature. Reason \((R)\) : Extra stability to half filled electronic configuration is observed than incompletely filled electronic configuration. In the light of the above statement, choose the most appropriate answer from the options given below:

The number of correct statements from the following is : \(A.\) \(E _{\text {cell }}\) is an intensive parameter. \(B.\) A negative \(E^{\Theta}\) means that the redox couple is a stronger reducing agent than the \(H ^{+} / H _2\) couple. \(C.\) The amount of electricity required for oxidation or reduction depends on the stoichiometry of the electrode reaction. \(D.\) The amount of chemical reaction which occurs at any electrode during electrolysis by a current is proportional to the quantity of electricity passed through the electrolyte.

In the following compounds, the decreasing order of basic strength will be

If \(\alpha  = {\cos ^{ - 1}}\,\left( {\frac{3}{5}} \right),\beta  = {\tan ^{ - 1}}\,\left( {\frac{1}{3}} \right)\), where  \(0 < \alpha ,\beta  < \frac{\pi }{2}\), then \(\alpha  - \beta \) is equal to

Among the following, the incorrect statement is

Which of the following statement(s) is/are correct? \((A)\) The \(pH\) of \(1 \times 10^{-8}\,M\,HCl\) solution is \(8\). \((B)\) The conjugate base \(H _2 PO _4^{-}\)is \(HPO _4{ }^{2-}\). \((C)\) \(K _{ w }\) increases with increase in temperature. \((D)\) When a solution of weak monoprotic acid is titrated against a strong base at half neutralisation point, \(pH =\frac{1}{2} pK _{ a }\) Choose the correct answer from the option given below.

Let \(M =\left[\begin{array}{cc}0 & -\alpha \\ \alpha & 0\end{array}\right]\), where \(\alpha\) is a non-zero real number an \(N =\sum\limits_{ k =1}^{49} M ^{2 k }\). If \(\left( I - M ^{2}\right) N =-2 I\), then the positive integral value of \(\alpha\) is

A bullet of mass \(50 \mathrm{~g}\) is fired with a speed \(100 \mathrm{~m} / \mathrm{s}\) on a plywood and emerges with \(40 \mathrm{~m} / \mathrm{s}\). The percentage loss of kinetic energy is _______.

0.1 mol of the following given antiviral compound \((\mathrm{P})\) will weigh ________ \(\times 10^{-1} \mathrm{~g}\).

(Given : molar mass in \(\mathrm{g} \mathrm{mol}^{-1} \mathrm{H}: 1, \mathrm{C}: 12, \mathrm{~N}: 14\), \(\mathrm{O}: 16, \mathrm{~F}: 19, \mathrm{I}: 127)\)