Question

The measured mass and volume of a body are 22.42 g and 4.7 cm³ respectively. With possible errors of 0.01 g and 0.1 cm³ in mass and volume, the maximum error in the calculated density is approximately-

• A. 0.2%
• B. 2%
• C. 5%
• D. 10%

Answer 1

Answer: (B)

2%

Answer 2

d = $\frac{m}{V}$ % error in d = 1 × [% error in m] + 1× [1% error in V]

= $\frac{.01}{22.42}$ × 100 + $\frac{.1}{4.7}$ × 100 = 2%