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

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PhysicsErrorMiscellaneousEasy2 minPYQ_2020

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A wire has a mass $0.3 \pm 0.003 g,$ radius $0.5 \pm 0.005 m m$ and length $6 \pm 0.06 c m .$ The maximum percentage error in the measurement of its density is

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Solution:

Density

$ρ = \frac{m}{π r^{2} L}$

$∴ \frac{∆ ρ}{ρ} \times 100 = (\frac{∆ m}{m} + 2 \frac{∆ r}{r} + \frac{∆ L}{L}) \times 100$

After substituting the values we get the maximum percentage error in density = 4%

Stream:NTA_ABHYASSubject:PhysicsTopic:ErrorSubtopic:Miscellaneous

⏱ 2mℹ️ Source: PYQ_2020

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