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You would like to observe an E. coli bacterium that is 2,15 mum long. Because di

ID: 1386413 • Letter: Y

Question

You would like to observe an E. coli bacterium that is 2,15 mum long. Because diffraction blurs an image, you would like to minimize the effects of diffraction by using a wavelength no larger than the object you are observing. For this problem, assume the wavelength is equal to the length of the bacterium. What is the energy of a photon with length? J What is the energy of an electron with a de Brogue wavelength of this size? J In terms of energy, which particles, photons or electrons, are the least likely to damage your sensitive biological sample? Photons electrons they are the same

Explanation / Answer

As

E = h c / wavelength

then

E = 9.24*10^-20 J   [ANSWER]

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As

wavelength = h / p

--> p = h / wavelength = 3.08E-29 kg m/s

As

E = p^2/2m = 5.21*10^-26 J   [ANSWER]

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As the energy of photons are greater, then PHOTONS [ANSWER] are more likely to damage the sample.

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