Arrange the following redox couples in the increasing order of their reducing strength:
Cu$^{2+}$/Cu$^{+}$ $E^\circ = -0.34$ V
Ag$^+$/Ag $E^\circ = -0.8$ V
Ca$^{2+}$/Ca $E^\circ = +2.87$ V
Cr$^{3+}$/Cr$^{2+}$ $E^\circ = +0.74$ V
To arrange the redox couples in the increasing order of their reducing strength, we need to look at the values of their standard electrode potentials ($E^\circ$). The standard electrode potential indicates the ability of a species to gain electrons (reduction potential). A more negative $E^\circ$ value means a weaker tendency to reduce, and hence a stronger tendency to act as a reducing agent.
- For [A] Cu$^{2+}$/Cu$^{+}$, $E^\circ = -0.34$ V, so this species is a weak reducing agent.
- For [B] Ag$^+$/Ag, $E^\circ = -0.8$ V, indicating an even weaker reducing agent than [A].
- For [D] Cr$^{3+}$/Cr$^{2+}$, $E^\circ = +0.74$ V, indicating a stronger reducing agent than both [A] and [B].
- For [C] Ca$^{2+}$/Ca, $E^\circ = +2.87$ V, making this the strongest reducing agent.
Thus, the order of reducing strength from weakest to strongest is: B<A<D<C
Given below are two statements:
Statement (I): The first ionization energy of Pb is greater than that of Sn.
Statement (II): The first ionization energy of Ge is greater than that of Si.
In light of the above statements, choose the correct answer from the options given below:
The product (A) formed in the following reaction sequence is:

\[ \begin{array}{|c|c|} \hline \textbf{LIST-I (Redox Reaction)} & \textbf{LIST-II (Type of Redox Reaction)} \\ \hline A. \, CH_4(g) + 2O_2(g) \rightarrow CO_2(g) + 2H_2O(l) & I. \, \text{Disproportionation reaction} \\ B. \, 2NaH(s) \rightarrow 2Na(s) + H_2(g) & II. \, \text{Combination reaction} \\ C. \, V_2O_5(s) + 5Ca(s) \rightarrow 2V(s) + 5CaO(s) & III. \, \text{Decomposition reaction} \\ D. \, 2H_2O(aq) \rightarrow 2H_2(g) + O_2(g) & IV. \, \text{Displacement reaction} \\ \hline \end{array} \]
A solid cylinder of mass 2 kg and radius 0.2 m is rotating about its own axis without friction with angular velocity 5 rad/s. A particle of mass 1 kg moving with a velocity of 5 m/s strikes the cylinder and sticks to it as shown in figure. 
The angular velocity of the system after the particle sticks to it will be: