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NEET 1996 (AIPMT) · Errors in Measurement

Errors in Measurement question from NEET 1996 (AIPMT)

Q109NEET 1996 · AIPMTMedium

Errors in Measurement

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

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Answer: (d)

  1. ρ=mL3⇒Δρρ=Δmm+3ΔLL\rho = \frac{m}{L^3} \Rightarrow \frac{\Delta \rho}{\rho} = \frac{\Delta m}{m} + 3\frac{\Delta L}{L}
  2. =3%+3(2%)=9%= 3\% + 3(2\%) = 9\%
  3. So the answer is (d) 9%9\%.
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