Calculate the following quantities and their (absolute) uncertainties, with guard digits. When an uncertainty propagation calculation involves two or more operations with different levels of precedence, break it into steps following order of operations. a) *Refer to picture
Calculate the following quantities and their (absolute) uncertainties, with guard digits. When an uncertainty propagation calculation involves two or more operations with different levels of precedence, break it into steps following order of operations.
a) *Refer to picture
b) In part a, you estimated the uncertainty in the volume of a sphere from the uncertainty in its radius, using the rule for powers. Calculate the uncertainty you would have found if you instead used the rule for multiplication: *Refer to picture
c)Convert your answer from part a to pL (picoliters), given 1 pL = 1000 μm^3. When you use an exact conversion factor like this, what should remain the same, absolute uncertainty or relative uncertainty? Briefly explain.
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