Physical World Units and Measurements - Result Question 46

47. The density of a cube is measured by measuring its mass and length of its sides. If the maximum error in the measurement of mass and length are 4 and 3 respectively, the maximum error in the measurement of density will be

(a) 7

(b) 9

(c) 12

(d) 13

[1996]

Show Answer

Answer:

Correct Answer: 47. (d)

Solution:

  1. (d) As we know, density = mass  volume 

Maximum error in the measurement of density

ρ=ML3∴Δρρ=ΔMM+3ΔLL

error in density = error in Mass +3 (% error in length)

=4+3(3)=13

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