A physical parameter a can be determined by measuring the parameters b, c, d and e using the relation a=bαcβ/dγeδ. If the maximum errors in the measurement of b, c, d and e are b1%,c1%,d1% and e1%, then the maximum error in the value of a determined by the experiment is
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a
b1+c1+d1+e1%
b
b1+c1−d1−e1%
c
αb1+βc1−γd1−δe1%
d
ab1+βc1+γd1+δe1%
answer is D.
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Detailed Solution
a=bαcβ/dγeδSo, maximum error in a is given byΔaa×100max=α⋅Δbb×100+β⋅Δcc×100+γ⋅Δdd×100+δ⋅Δee×100=αb1+βc1+γd1+δe1%