The lengths of three metal strips to be joined end-to-end are measured as follows: , ,

PHYSICS · Multi-part · A Level · Physics · Measurements and their errors · Measurements and their errors

Problem

The lengths of three metal strips to be joined end-to-end are measured as follows: l1=125.6±0.1 mml_1 = 125.6 \pm 0.1\,\text{mm}, l2=8.42±0.05 cml_2 = 8.42 \pm 0.05\,\text{cm}, l3=0.154±0.002 ml_3 = 0.154 \pm 0.002\,\text{m}. Answer the following: (a) Convert each length to centimetres. (b) Determine the total length and its absolute uncertainty. (c) Express the final result in the form length ±\pm uncertainty, rounded to the correct number of decimal places.

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