You measure two quantities as A=1.0 ~m 0.2 ~m , B=2.0 ~m 0.2 ~m . We should report correct value for A B as

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Correct answer: D. 1.4 ~m 0.2 ~m

Given, A=1.0 ~m 0.2 ~m , B=2.0 ~m 0.2 ~m Let Y= A B = (1.0)(20) =1.414 ~m Rounding off to two significant digits aligned Y & =1.4 ~m \ Y Y & = 1 2 [ A A + B B ] \ & = 1 2 [ 0.2 1.0 + 0.2 2.0 ] \ & = 0.6 2 20 \ Y & = 0.6 Y 2 20 = 0.6 1.4 2 20 =0.212 aligned Rounding off to one significant digit, Y=0.2 ~m

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