Physics And Measurement Question 175

Question: 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

Options:

A) ( b1+c1+d1+e1 )%

B) ( b1+c1−d1−e1 )%

C) ( αb1+βc1−γd1−δe1 )%

D) ( αb1+βc1+γd1+δe1 )%

Show Answer

Answer:

Correct Answer: D

Solution:

a=bαcβ/dγeδ

So maximum error in a is given by (Δaa×100)max=α.Δbb×100+β.Δcc×100

+γ.Δdd×100+δ.Δee×100

=(αb1+βc1+γd1+δe1)

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