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In February 2004, scientists at Purdue University used a highly sensitive technique to measure the mass of a vaccinia virus (the kind used in

 

In February 2004, scientists at Purdue University used a highly sensitive technique to measure the mass of a vaccinia virus (the kind used in smallpox vaccine). The procedure involved measuring the frequency of oscillation of a tiny sliver of silicon (just 32.0 nm long) with a laser, first without the virus and then after the virus had attached itself to the silicon. The difference in mass caused a change in the frequency. We can model such a process as a mass on a spring. Part A Find the ratio of the frequency with the virus attached ( fs4v) to the frequency withoul the virus (fs) in terms of my and mg. where my is the mass of the virus and mg is the mass of the silicon sliver. Notice that it is not necessary to know or measure the torce constant of the spring. Express your answer in terms of the variables my and nms. fs+v . Is Part B In somo data, the silicon sliver has a mass of 2.1310 16 g and a trequency of 2.01x1015 Hz without the virus and 2.88x1014 Hz with the virus. What is the mass of the virus in grams? Express your answer in grams. ? my = Part C What is the mass of the virus in femtograms? Express your answer in femtograms. ? my = fg

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