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A certain body weight  22.42gm and …

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  1. A certain body weight  22.42gm and has a measured volume of 4.7 c.c. the possible error in the measurement of mass and volume are 0.01gm and 0.1cc.then maximum error in the density will be......?  
  • 1 answers

Naveen Sharma 8 years, 7 months ago

Ans. Mass of body = 22.42 g

Volume of body = 4.7 cc

Density = {tex}{mass\over volume } = {22.42\over 4.7}{/tex} = 4.77021 g/cm3

Error in measurement of mass = 0.01 g

So Mass = 22.42 - 0.01 = 22.41 g

Error in measurement of Volume = 0.1 cc

So Volume = 4.7 - 0.1 = 4.6 cc

Now Density = {tex}{mass\over volume } = {22.41\over 4.6}{/tex} = 4.87174 g/cm3

Error in Density = 4.87174 - 4.77021 = 0.10153 g/cm3

%/ error = {tex}{0.10153\over 4.77021}\times 100{/tex} 

{tex}0.02128 \times 100 = 2.128 \% = 2.1\%{/tex}

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