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Question: Density of substance d = \(\frac{m}{V}\), where m = (20 ± 0.2) kg and V = (10 ± 0.1)m<sup>3</sup>. C...

Density of substance d = mV\frac{m}{V}, where m = (20 ± 0.2) kg and V = (10 ± 0.1)m3. Calculate the percentage error in d

A

1%

B

2%

C

3%

D

4%

Answer

3%

Explanation

Solution

d = mVΔdd=Δmm+ΔVV\frac{m}{V} \Rightarrow \frac{\Delta d}{d} = \frac{\Delta m}{m} + \frac{\Delta V}{V}