29. 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 lengths are
3% and 2% respectively, the maximum error in
the measurement of density would be
(1) 12%
(2) 14%
(3) 7%
(4) 9%
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1
Answer:
Density,ρ=
Volume
Mass
=
L
3
M
Thus, maximum error,
ρ
Δρ
=
M
ΔM
+3
L
ΔL
=0.04+3×0.03=0.13 or 13%
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