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The highest achievable resolving power of a microscope is limited only by the wa

ID: 1701477 • Letter: T

Question

The highest achievable resolving power of a microscope is limited only by the wavelength used; that is, the smallest item that can be distinguished has dimensions about equal to the wavelength. Suppose one wishes to "see" inside an atom. Assuming the atom to have a diameter of 100 nm, this means that one must be able to resolve a width of, say, 10 nm. (a) If an electron microscope is used, what minimum electron energy is required? (b) If a light microscope is used, what minimum photon energy is required? (c) Which microscope seems more practical? Why?

Explanation / Answer

a) we have that. P=h/lamda and E_total^2=E0^2+P^2*c^2. electron. P=6.62e-26 so E_total=8.2e-14(J). b). we have that E=hf=hc/lamda=2e-17(J).