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Q.

A physical quantity P is described by the relation P=a1/2b2c3d−4. If the relative errors in the measurement of a, b, c and d respectively, are 2%,1%, 3% and 5%, then the percentage error in P will be_______ %

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answer is 32.

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Detailed Solution

Here, P=a1/2b2c3d−4ΔPP=12Δaa+2Δbb+3Δcc+4Δddor ΔPP×100%=12Δaa+2Δbb+3Δcc+4Δdd×100%⇒ Percentage error in P=12×2+2×1+3×3+4×5×100=32%

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