Question 148: Units , Dimensions and Error Analysis

Question

A silver wire has a mass (0.6 $\pm$ 0.006) g, radius (0.5 $\pm$ 0.005) mm and length (4 $\pm$ 0.04) cm. The maximum percentage error in the measurement of its density will be :

Accepted Answer

$ho  = {m \over V} = {m \over {\pi {r^2} 	imes l}}$
$	herefore$ % error in $ho  = \left( {{{0.006} \over {0.6}} + 2 	imes {{0.005} \over {0.5}} + {{0.04} \over 4}} ight) 	imes 100$
$ = 4\% $

Answer

4%

Answer

3%

Answer

6%

Answer

7%

Units , Dimensions and Error Analysis

A silver wire has a mass (0.6 \pm 0.006) g, radius (0.5 \pm 0.005) mm and length (4 \pm 0.04) cm. The maximum percentage error in the measurement of its density will be :

Choose the correct answer: