## College Physics (4th Edition)

The smallest structure that could be resolved would have a size of $1.23\times 10^{-11}~m$
We can find the wavelength of the electrons: $\lambda = \frac{h}{p_e}$ $\lambda = \frac{h}{\sqrt{2~m_e~E_e}}$ $\lambda = \frac{6.626\times 10^{-34}~J~s}{\sqrt{(2)(9.1\times 10^{-31}~kg)(10,000~eV)(1.6\times 10^{-19}~J/eV)}}$ $\lambda = 1.23\times 10^{-11}~m$ The smallest structure that could be resolved would have a size of $1.23\times 10^{-11}~m$