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Q.

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

(αb1+βc1+γd1+δe1)%

answer is D.

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Detailed Solution

a = bαcβ/dγeδSo maximum error in a is given by(∆aa×100)max = α.∆bb×100+β∆cc×100+γ.∆dd×100+δ.∆ee×100= (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 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