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Q.

Find the error in P, if the physical quantity P is described by the relation P=a12b2c3d−4. It is given that the errors in the measurement of a, b, c and d respectively, are 2%, 1%, 3% and 5%.

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a

12%

b

8%

c

25%

d

32%

answer is D.

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Detailed Solution

P=a12b2c3d−4Δppmax=12Δaa+2Δbb+3Δcc +4Δdd100×ΔPP=12Δaa+2Δbb+3Δcc+4Δdd×100% error in P=12×2+2×1+3×3+4×5=32%

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Find the error in P, if the physical quantity P is described by the relation P=a12b2c3d−4. It is given that the errors in the measurement of a, b, c and d respectively, are 2%, 1%, 3% and 5%.