The highest achievable resolving power of a microscope is limited only by the wa
ID: 2100235 • 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 pm, this means that one must be able to resolve a width of, say, 10 pm.
(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?
The light microscope, since it needs more energy.
The electron microscope, since it needs less energy.
The light microscope, since it needs less energy.
The electron microscope, since it needs more energy.
Both are equally practical, since they require about the same energy.
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).
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