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Q.

The mass and volume of a body are found to be 5.00 ± 0.05 kg and 1.00 ± 0.05 m3 respectively. Then the maximum possible percentage error in its density is

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a

6%

b

3%

c

10%

d

5%

answer is A.

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Detailed Solution

Here, Mass of a body, M = 5.00 ± 0.05 kg

Volume of a body, V = 1.00 ± 0.05 m3 

Density,

ρ=MV Relative error in density is,ρρ=MM+VV Percentage error in density is  ρρ×100=MM×100+VV×100 =0.055×100+0.051×100=1%+5%=6%

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