You are using a mass balance to measure the mass of an object. Assume that you c

Question

You are using a mass balance to measure the mass of an object. Assume that you can measure reasonably to the nearest one-half of the smallest division and the smallest division on your mass balance is 0.1 g. This means your instrumental precision (instrumental uncertainty) of the mass measurements is 1/2 (0.1 g) = 0.05 g. If your object is exactly twenty-seven grams, how would you record the mass measurement reflect the precision of the instrument (and your ability to use it)? a. 27 g b. 27g c. 27.00 g d. 27.000g A student made the following six measurements of the mass of an object: m = 31.4 g, 31.4 g, 31.4 g, 31.4 g, 31.4g, 31.4 g. Assume the instrumental uncertainty is delta_inst = 0.1 g What is a reasonable estimate of the sample uncertainty. delta-samp? a. 31.4 g b. 0.4 g c. 0.1 g d. 0.0 g What is a reasonable estimate of the uncertainty of the measurement, delta m? a. 31.4 g b. 0.4 g c. 0.1 g d. 0.0 g A student measures a density of (8.90 plusminus 0.06) g/cm^3 for a copper cylinder and the accepted value for the density of copper is 8.94 g/cm^3. How should you describe the two values?

Explanation / Answer

(1) Since the precision of instrument is at two decimal place hence I would like to record the data in same peecision hence two decimal place. i.e. 27.00. Option c

(2) Standard deviation of the given data is zero as all the data has same value means no variation. hence option d.

3. Higher uncertainity among instrument and sample i.e. 0.1 g option c

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