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MHT CET 2025 (26 Apr, Shift 2) · Errors in Measurement

Errors in Measurement question from MHT CET 2025 (26 Apr, Shift 2)

Q38MHT CET 2025 · 26 APR · SHIFT 2Easy

Errors in Measurement

In an experiment four quantities p,q,rp, q, r and s are measured with percentage 3%,2%,3%3\%, 2\%, 3\% and 1%1\% respectively. Quantity ' AA ' is calculated as follows

A=pq2r2s4A = \frac{pq^{2}}{r^{2}s^{4}}, the percentage error in ' A ' is

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Answer: (a)

  1. For A=pq2r2s4A = \frac{pq^2}{r^2s^4}: ΔAA=Δpp+2Δqq+2Δrr+4Δss\frac{\Delta A}{A} = \frac{\Delta p}{p} + 2\frac{\Delta q}{q} + 2\frac{\Delta r}{r} + 4\frac{\Delta s}{s}
  2. =3%+2(2%)+2(3%)+4(1%)=3+4+6+4= 3\% + 2(2\%) + 2(3\%) + 4(1\%) = 3 + 4 + 6 + 4
  3. So the answer is (a) 17%17\%.
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