\(250\ mL\) of a waste solution obtained from the workshop of a goldsmith contains \(0.1\, M AgNO _{3}\) and \(0.1\, M\) AuCl. The solution was electrolyzed at \(2\, V\) by passing a current of \(1 \,A\) for \(15\) minutes. The metal/metals electropositive will be \(\left(E_{A g^{+} / A g}^{0}=0.80\, V, E_{A n^{+} / A u}^{0}=1.69\, V\right)\)

Given below are two statements: One is labelled as Assertion \(A\) and the other is labelled as Reason \(R\): Assertion \(A\): Alcohols react both as nucleophiles and electrophiles. Reason \(R\): Alcohols react with active metals such as sodium, potassium and aluminum to yield corresponding alkoxides and liberate hydrogen. In the light of the above statements, choose the correct answer from the options given below:

The bond dissociation enthalpy of \(\mathrm{X}_2 \Delta \mathrm{H}_{\text {bond }}\) calculated from the given data is _______ \(\mathrm{kJ} \mathrm{mol}^{-1}\). (Nearest integer)
\(\begin{aligned}
& \mathrm{M}^{+} \mathrm{X}^{-}(\mathrm{s}) \rightarrow \mathrm{M}^{+}(\mathrm{g})+\mathrm{X}^{-}(\mathrm{g}) \Delta \mathrm{H}_{\text {lattice }}^*=800 \mathrm{~kJ} \mathrm{~mol}^{-1} \\
& \mathrm{M}(\mathrm{~s}) \rightarrow \mathrm{M}(\mathrm{~g}) \Delta \mathrm{H}_{\text {sub }}^{\circ}=100 \mathrm{~kJ} \mathrm{~mol}^{-1}
\end{aligned}\)
\(\mathrm{M}(\mathrm{~g}) \rightarrow \mathrm{M}^{+}(\mathrm{g})+\mathrm{e}^{-}(\mathrm{g}) \Delta \mathrm{H}_{\mathrm{i}}=500 \mathrm{~kJ} \mathrm{~mol}^{-1}\)
\(\mathrm{X}(\mathrm{~g})+\mathrm{e}^{-}(\mathrm{g}) \rightarrow \mathrm{X}^{-}(\mathrm{g}) \Delta \mathrm{H}_{\mathrm{eg}}^*=-300 \mathrm{~kJ} \mathrm{~mol}^{-1}\)
\(\mathrm{M}(\mathrm{~s})+\frac{1}{2} \mathrm{X}_2(\mathrm{~g}) \rightarrow \mathrm{M}^{+} \mathrm{X}^{-}(\mathrm{s}) \Delta \mathrm{H}_f^{\circ}=-400 \mathrm{~kJ} \mathrm{~mol}^{-1}\)
[Given : \(\mathrm{M}^{+} \mathrm{X}^{-}\)is a pure ionic compound and X forms a diatomic molecule \(\mathrm{X}_2\) in gaseous state]

In alanylglycylleucylalanylvaline, the number of peptide linkages is \(......\)

Which one of the following carbonyl compounds cannot be prepared by addition of water on an alkyne in the presence of \(HgSO _{4}\) and \(H _{2} SO _{4}\) ?

Given below are two statements :
Statement-I: Sublimation is used for the separation and purification of compounds with low melting point.
Statement-II: The Boiling point of a liquid increases as the external pressure is reduced.
In the light of the above statements, choose the correct answer from the options given below :

What quantity (in \(mL\)) of a \(45\%\) acid solution of a mono-protic strong acid must be mixed with a \(20\%\) solution of the same acid to produce \(800\, mL\) of a \(29.875\%\) acid solution?

A uniform disc of radius \(R\) and mass \(M\) is free to rotate only about its axis. A string is wrapped over its rim and a body of mass \(m\) is tied to the free end of the string as shown in the figure. The body is released from rest. Then the acceleration of the body is

If the volume of parallelepiped formed by the vectors \(\hat i + \lambda \hat j + \hat k\), \(\hat j + \lambda \hat k\) and \(\lambda \hat i + \hat k\) is minimum, then \(\lambda \) is equal to

Thermodynamic process is shown below on a \(P-V\) diagram for one mole of an ideal gas. If \(V _{2}=2 V _{1}\) then the ratio of temperature \(T _{2} / T _{1}\) is ...... .

A small liquid drop of radius \(R\) is divided into \(27\) identical liquid drops. If the surface tension is \(\mathrm{T}\), then the work done in the process will be _______.

The number of distinct real roots of the equation \(|\mathrm{x}+1||\mathrm{x}+3|-4|\mathrm{x}+2|+5=0\), is ...........

Find the peak current and resonant frequency of the following circuit (as shown in figure).