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NEET 2013 · Errors in Measurement

Errors in Measurement question from NEET 2013

Q105NEET 2013Easy

Errors in Measurement

If an experiment four quantities a, b, c and d are measured with percentage error 1%, 2%, 3% and 4% respectively.

Quantity P is calculated as follows P =a3b2cd= \frac{a^3b^2}{cd} % error in P is

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Answer: (c)

  1. For P=a3b2cdP = \frac{a^3b^2}{cd}: ΔPP=3Δaa+2Δbb+Δcc+Δdd\frac{\Delta P}{P} = 3\frac{\Delta a}{a} + 2\frac{\Delta b}{b} + \frac{\Delta c}{c} + \frac{\Delta d}{d}
  2. =3(1)+2(2)+3+4=14%= 3(1) + 2(2) + 3 + 4 = 14\%
  3. So the answer is (c) 14%.
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