\({E_{cell}}\, = \,E_{cell}^o\, - \,\frac{{0.0591}}{n}\,\log \,\frac{{[anode]}}{{[cathode]}}\)

               \(\, = \,E_{cell}^o\, - \,\frac{{0.0591}}{n}\,\log \,\frac{{[Z{n^{2 + }}]}}{{[C{u^{2 + }}]}}\)

Substituting the given values in to cases.

\({E_1}\, = \,E^o\, - \,\frac{{0.0591}}{2}\,\log \,\frac{{0.01}}{{1.0}}\)

         \(\, = \,E^o\, - \,\frac{{0.0591}}{2}\,\log {10^{ - 2}}\)

         \(\, = \,E^o\, + \,\frac{{0.0591}}{2}\, \times \,2\) or \(({E^o}\, + \,0.0591)\,V\)

\({E_2}\, = \,{E^o} - \,\frac{{0.0591}}{2}\,\log \,\frac{1}{{0.01}}\)

           \( = \,{E^o} - \,\frac{{0.0591}}{2}\,\log {10^2}\)

            \( = \,{E^o} - \,\frac{{2 \times 0.0591}}{2}\)   or   \(({E^o}\, - \,0.0591)\,V\)

Thus,  \(E_1  >  E_2\)