A certain body weighs 22.42 gm and has a measured volume

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A certain body weighs 22.42 gm and has a measured volume of 4.7 cc. The possible error in the measurement of mass and volume are 0.01 gm and 0.1 cc. Then maximum error in the density will be

1. 22%
2. 2%
3. 0.2%
4. 0.02%

Correct Option: B

Density, D = M/V

∴

∆D

=

∆M

+

∆V

=

0.01

+

0.01

× 100 = 2%

D

M

V

22.42

4.7