Question

Mass and volume of a block are measured as 22.42g and 4.7cc . Maximum possible error in density
is ?

Answer 1

Dear Student,

◆ Answer -

Maximum error in density = 0.1035 g/cc

● Explanation -

# Given -

M = 22.42 g

V = 4.7 cc

# Solution -

You didn't give error in measurements of mass and volume. We can assume least count (precision) of instrument as maximum error.

Hence,

∆M = 0.01 g

∆V = 0.1 cc

Maxiumum error in measurement of density is calculated by -

∆D/D = ∆M/M + ∆V/V

∆D/D = 0.01/22.42 + 0.1/4.7

∆D/D = 0.0217

Substitute D = M/V,

∆D = M/V × 0.0217

∆D = 22.42/4.7 × 0.0217

∆D = 0.1035 g/cc

Therefore, maximum error in measurement of density is 0.1035 g/cc.

Thanks dear. Hope this helps you...