$\frac{1}{2} mv ^2=\frac{2 e ^4 \pi^2 Z ^2 m }{ n ^2 h ^2} \quad \therefore n ^2=\frac{4 c ^4 \pi^2 \times 1^2}{v^2 h^2} \quad \therefore n =\frac{2 \pi c ^2}{ vh }$
$(1)$ $n = 1,\,l = 0,\,m = 0$
$(2)$ $n = 2,\,l = 0,\,m = 0$
$(3)$ $n = 2,\,l = 1,\,m = 1$
$(4)$ $n = 3,\,l = 2,\,m = 0$
$(5)$ $n = 3,\,l = 2,\,m = 0$