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MHT CET 2026 (15 May, Shift 2) · Errors in Measurement

Errors in Measurement question from MHT CET 2026 (15 May, Shift 2)

Q19MHT CET 2026 · 15 MAY · SHIFT 2Medium

Errors in Measurement

A physical quantity CC is related to four other quantities P, Q, RP,\ Q,\ R and SS as C=PQ2R3SC = \frac{PQ^2}{R^3\sqrt{S}}. The percentage error in the measurement of P, Q, RP,\ Q,\ R and SS are 1%, 2%, 3%1\%,\ 2\%,\ 3\% and 2%2\% respectively. The percentage error in the measurement of CC will be

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Answer: (d)

  1. For C=PQ2R3SC = \frac{PQ^2}{R^3\sqrt{S}}: ΔCC=ΔPP+2ΔQQ+3ΔRR+12ΔSS\frac{\Delta C}{C} = \frac{\Delta P}{P} + 2\frac{\Delta Q}{Q} + 3\frac{\Delta R}{R} + \frac{1}{2}\frac{\Delta S}{S}
  2. =1+2(2)+3(3)+12(2)=1+4+9+1=15%= 1 + 2(2) + 3(3) + \frac{1}{2}(2) = 1 + 4 + 9 + 1 = 15\%
  3. So the answer is (d) 15%15\%.
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