phys207hw1.sxw

1 384 method 2 treat the best value as a binomial

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Unformatted text preview: ©¦ ¦ © © ¥ ¦ © ¥¥ ¡¦ ¨ ¥ ¡ ¥ ¥ ¦ ¥¥  ©  © ¦ ¥ ¦ © ¦ ¥ ¦ ¥ ¥ ¦ ¦ " ¥ #!¦ ¦ 3 ¥ 4) ¦ ¡ ¦ ¨ ¥ ¥ ¡ ¦ ¨ ¥ ¥ ¡¥ ¡¥  © © ¥¦ ¥   ¥ ¥ ¥ ¥ 3 49.1 (38.4) Method 2: Treat the best value as a binomial where the cross terms add to get the uncertainty in the final answer: A 21.3 cm 9.8 cm 21.3 cm 0.1 cm 0.2 cm 9.8 cm 0.2 cm 0.1 cm 210 4 cm 2 Method 3: If the errors are uncorrelated we can add the fractional uncertainties in quadrature to get the final uncertainty. A l w . (48.3) A l w Plugging in our values for l and w yields a fractional uncertainty of 0.0139 or 1.4%. This gives us a final answer of: l 2 2 Prob 1.50) Remember zeros as place holders do not count as significant. (a) 3 (b) 4 (c) 3 (d) 2 ) A lw lw 21.3 cm 9.8 cm 21.3 cm 9.8 cm 0.0139 210 3 cm 2 ¦ ¥ )¦ ¥ l 2 w w 2 ¦) ¥ ¦ ¥ 5 )¦ ¦ 1¥ 0 325 3 6 ¦ 1¥ ¤ ¦ 1¥ 0 0 ¥ )¦ 325 3 5 ¦ 1¥ ¦ (¥ 6 0 0 ¥ )¦ ¥ )...
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