Question

5. The density of a rectangular board is measured with accuracy of 0.2kg/m3. The mass and volume are measured as 35.4 kg and 18.4 m3 respective. Find the relativ error and percentage error of the density calculated.
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Answer 1

Answer:

1.62

Explanation:

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Answer 2

Solution :

Length = 35.4 kg + 0.2 kg

Breadth = 18.4 + 0.2 kg

Area = A+∆ A

A = 35.4 × 18.4 = 651 . 36 cm ²

∆ A /A = ∆ L/L + ∆ B/B

= ∆ A/A = 0.2 /35.4 + 0.2 / 18.4

= ∆ A = (0.2 / 35.4 + 0.2 / 18 . 4

= ∆ A = 0.2 × 18.4 + 0.2 × 35 .4

= ∆ A = 0.2 (18.4 + 35.4)

= ∆ A = 0.2 (53.8)

= ∆ A = 10.76

% error = (∆A/A ) × 100 = 10.76 /651.36 ) × 100

= 1.65 %

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