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PhysicsNEET 2025Significant figures and errors in measurement

Units and Measurements

A physical quantity PP is related to four observations aa, bb, cc and dd by the relation shown in the booklet. The percentage errors of measurement in aa, bb, cc and dd are 1%, 3%, 2% and 4% respectively. The percentage error in the quantity PP is:

Question 42 as printed in the NEET 2025 booklet

  1. A.10%
  2. B.2%
  3. C.13%✓
  4. D.15%

Solution

ΔPP=3Δaa+2Δbb+Δcc+12Δdd=3(1)+2(3)+2+12(4)=13%\dfrac{\Delta P}{P} = 3\dfrac{\Delta a}{a} + 2\dfrac{\Delta b}{b} + \dfrac{\Delta c}{c} + \dfrac12\dfrac{\Delta d}{d} = 3(1) + 2(3) + 2 + \dfrac12(4) = 13\%.

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