Answer
n=13700. $E_{n}=-7.19\times10^{-8}eV$
Work Step by Step
Calculate the value of n is using $r_n=n^2r_1$.
$$n=\sqrt{\frac{r_n}{r_1}}=\sqrt{\frac{1.00\times10^{-2}m}{0.529\times10^{-10}m}}=13749\approx13700$$
Now find the energy using equation 27–15b with Z = 1 and the n we just calculated.
$$E_{n}=\frac{-13.6eV(Z^2)}{n^2}$$
$$E_{n}=\frac{-13.6eV(1^2)}{13749^2}=-7.19\times10^{-8}eV$$
