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Q.

A physical parameter a can be determined by measuring the parameters b,c,d and e using the relationa=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

(ab1+βc1−γd1−δe1)%

d

(αb1+βc1+γd1+δe1)%

answer is D.

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Detailed Solution

a=bαcβ/dγeδ a%=αb1%+βc1%+γd1%+δe1%
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A physical parameter a can be determined by measuring the parameters b,c,d and e using the relationa=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