ρ=34π(2d)3m
ρ=πd36m
taking log
ℓnρ=ℓnm−3ℓnd
Maximum error by differentiation
ρdρ=mdm+3ddd
ρdp=6+3×1.5
=10.5
Ans. x=1050
JEE Main 2020 — Physics Mechanics
The density of a solid metal sphere is diameter. The maximum error in the density of the sphere is (100x) If the relative errors in measuring the mass and the diameter are 6.0 and 1.5 respectively, the value of x is −
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