(Solved): An electron microscope focuses electrons through magnetic lenses to observe objects at higher magni ...

An electron microscope focuses electrons through magnetic lenses to observe objects at higher magnification than is possible with a light microscope. For any microscope, the smallest object that can be observed is one-half the wavelength of the radiation used. Thus, for example, the smallest object that can be observed with light of \( 400.0 \mathrm{~nm} \) is \( 2.00 \times 10^{-7} \mathrm{~m} \). (a) What is the smallest object observable with an electron microscope using electrons moving at \( 5.00 \times 10^{4} \mathrm{~m} / \mathrm{s} \) ? \( \times 10 \) m (Enter your answer in scientific notation.) (b) At \( 2.20 \times 10^{7} \mathrm{~m} / \mathrm{s} ? \) \( \times 10 \) m (Enter your answer in scientific notation.)