Question

We have error in the measurement of length,radius,mass and current ofa wire are2%,3%,2%and
1%then error in its mass density will be
A)11%
B)10%
C)8%
D)7%

Answer 1

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PHYSICS

A wire has a mass (0.3±0.003) g, radius (0.5±0.005) mm and length (6±0.06) cm. The maximum percentage error in the measurement of its density is :

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ANSWER

Formula for density is d=m/V=m/Ah=m/πr

2

l

Δd/d=Δm/m+2Δr/r+Δl/l

Δd=0.01+2×0.01+0.01

Δd/d=0.04

Therefore, percentage error is Δd/d×100=4