\(\begin{array}{l}a)\,\dfrac{{hc}}{\lambda } = A + eU\\ \Rightarrow A = \dfrac{{hc}}{\lambda } - eU \\\;\;\;\;\;\;\;\;\;= \dfrac{{6,{{625.10}^{ - 34}}{{.3.10}^8}}}{{0,{{42.10}^{ - 6}}}} - 1,{6.10^{ - 19}}.2,4 \\ \;\;\;\;\;\;\;\;\;= 0,{86.10^{ - 19}}J\\b)\,n = \dfrac{1}{e} = \dfrac{{1,{{6.10}^{ - 3}}}}{{1,{{6.10}^{ - 19}}}} = {10^{16}}.\end{array}\)