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Q.

A physical quantity P is related to four observables a, b, c and d as follows P=a3b2(cd) The percentage errors of measure-ment in a, b, c and d are 1%, 3%, 4% and 2%, respectively. What is the percentage error in the quantity P? If the value of P calculated using the above relation turns out to be 3.763, to what value should you round off the result

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a

15%, 3.76

b

13%, 3.8

c

13%, 3.763

d

13%, 3.76

answer is C.

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Detailed Solution

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ΔPP=3Δaa+2Δbb+12Δcc+ΔddΔPP×100=(3×1)+(2×3)+12×4+2=3+6+2+2=13%
Reading should have two digits

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