In an experiment four quantities a, b, c and d are measured with percentage error 1%, 2%, 3% and 4% respectively. Quantity P is calculated as fol1ows P=a3b2cd% error in P is
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a
7%
b
4%
c
14%
d
10%
answer is C.
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Detailed Solution
As P=a3b2cd% error in P isΔPP×100=3Δaa+2Δbb+Δcc+Δdd×100 =3×1%+2×2%+3%+4%=14%
In an experiment four quantities a, b, c and d are measured with percentage error 1%, 2%, 3% and 4% respectively. Quantity P is calculated as fol1ows P=a3b2cd% error in P is