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MHT CET 2026 (20 Apr, Shift 2) · Errors in Measurement

Errors in Measurement question from MHT CET 2026 (20 Apr, Shift 2)

Q10MHT CET 2026 · 20 APR · SHIFT 2Easy

Errors in Measurement

A physical quantity xx is related as x=a b2c3d−4x = \sqrt{a}\,b^{2}c^{3}d^{-4}. Relative errors in the quantities a, b, ca,\ b,\ c and dd are 2%, 1%, 3% and 4% respectively. Relative error in xx will be

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Answer: (b)

  1. Δxx=12Δaa+2Δbb+3Δcc+4Δdd\frac{\Delta x}{x} = \frac{1}{2}\frac{\Delta a}{a} + 2\frac{\Delta b}{b} + 3\frac{\Delta c}{c} + 4\frac{\Delta d}{d}
  2. =12(2)+2(1)+3(3)+4(4)=1+2+9+16= \frac{1}{2}(2) + 2(1) + 3(3) + 4(4) = 1 + 2 + 9 + 16
  3. So the answer is (b) 28%28\%.
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