The measured mass and volume of a body are 2.42 g and 4.7 cm^(3) respectively with possible errors 0.01g and 0.1 cm^(3). Find the maximum error in density.

The measured mass and volume of a body are 2.42 g and 4.7 cm^(3) respe

1.	The measured mass and volume of a body are 2.42 g and 4.7 cm^(3) respectively with possible errors 0.01g and 0.1 cm^(3). Find the maximum error in density.
Answer» Solution :Density,`d=(mass(m))/(VOLUME(V))` Here `m=2.42g, Deltam=0.01g,v=4.7cm^(3)` , `DeltaV =0.1cc` Maximum error in density,`(DELTAD)/d XX100=((Deltam)/mxx100)+((DeltaV)/Vxx100)` `=((0.01)/(2.42)xx100)+((0.1)/(4.7)xx100)=0.413%+2.127%=2.54%`