$E^{\circ }(\mathrm{MnO}{}_4{}^{-},\mathrm{H}{}^{+}/\mathrm{Mn}{}^{2+})=1.51\mathrm{V}$ ($n=5$, 8 $\mathrm{H}{}^{+}$) and $E^{\circ }(\mathrm{Cr}{}_2\mathrm{O}{}_7{}^{2-},\mathrm{H}{}^{+}/\mathrm{Cr}{}^{3+})=1.33\mathrm{V}$ ($n=6$, 14 $\mathrm{H}{}^{+}$). All other species are at unit concentration and $2.303RT/F=0.0591\mathrm{V}$ at 298 K. Which statements are correct?

1. AThe dichromate potential falls faster with increasing pH than the permanganate potential
2. BThe difference $E(\mathrm{MnO}{}_4{}^{-}/\mathrm{Mn}{}^{2+})-E(\mathrm{Cr}{}_2\mathrm{O}{}_7{}^{2-}/\mathrm{Cr}{}^{3+})$ is independent of pH
3. CAt pH 3, $E(\mathrm{MnO}{}_4{}^{-}/\mathrm{Mn}{}^{2+})\approx 1.226\mathrm{V}$
4. DAt pH 3, $E(\mathrm{Cr}{}_2\mathrm{O}{}_7{}^{2-}/\mathrm{Cr}{}^{3+})\approx 0.916\mathrm{V}$