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
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: