A student made the following nine measurements of the time for a ball to roll do
ID: 3280411 • Letter: A
Question
A student made the following nine measurements of the time for a ball to roll down an inclined track: t= 2.47 s, 2.48 s, 2.37 s, 2.51 s, 2.42 s, 2.46 s, 2.39 s, 2.38 s, 2.49 s. 3. If the stopwatch can measure to the nearest 0.01 s, what is the instrumental uncertainty, nst? a. 0.01 s b. 0.1 s c. 0.0 s d. 2.44 s 4. What is a reasonable estimate of the sample uncertainty, dsamp? (Choose the best answer) a. 0.01 s d. 0.06 s b. 0.1 s e. 0.07 s c. 0.05 s f. Answers c, d, and e are all reasonable estimates 5. What is a reasonable value for the overall uncertainty of the measurement, ? To determine this, consider both the instrumental and sample uncertainties and choose the larger value. Remember there are often several different reasonable estimates of the sample uncertainty. b. 0.01 s c. 2.44 s d. None of these 6. What is the "best estimate" of the true value of the measurement, tbest? In most cases, this is the average of the measured values. Remember, this value should be rounded to the same decimal place as the uncertainty, a. 2.37 s b. 2.44 s c. 2.51 s d. 2.4 sExplanation / Answer
(3) Instrumental uncertainity is generally taken as half of the smallest increment of the instrument scale. In this case, the least count is 0.01 so half of it is 0.005 so option (C) among the given options.
(4) option - (F)
(5) Option - (B)
(6) Option - (B) the average of the measurements will be 2.4411111 and rounding off to two decimals we get the answer.
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