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NEET 1991 (AIPMT) · Errors in Measurement

Errors in Measurement question from NEET 1991 (AIPMT)

Q111NEET 1991 · AIPMTMedium

Errors in Measurement

A certain body weighs 22.42 g and has a measured volume of 4.7 cc. The possible error in the measurement of mass and volume are 0.01 g and 0.1 cc. Then maximum error in the density will be

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Answer: (b)

  1. ρ=mV⇒Δρρ=Δmm+ΔVV\rho = \frac{m}{V} \Rightarrow \frac{\Delta \rho}{\rho} = \frac{\Delta m}{m} + \frac{\Delta V}{V}
  2. Δmm=0.0122.42≈0.04%\frac{\Delta m}{m} = \frac{0.01}{22.42} \approx 0.04\%, ΔVV=0.14.7≈2.1%\frac{\Delta V}{V} = \frac{0.1}{4.7} \approx 2.1\%
  3. Total ≈2.2%≈2%\approx 2.2\% \approx 2\%
  4. So the answer is (b) 2%2\%.
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