Questions  

A physical quantity is represented by X=MaLbTc. If percentage errors in the measurement of M, L and T  are  α, β  and γ respectively, then total percentage error is

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By Expert Faculty of Sri Chaitanya
a
αa+βb−γc
b
αa+βb+γc
c
αa−βb+γc
d
Zero
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detailed solution

Correct option is B

Δxx×100  = aΔMM×100+bΔLL×100+cΔTT×100 = aα+bβ+cγ

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A physical quantity A is related to four observable a, b, c and d as A=a2b3cd . The percentage errors of measurement in a, b, c and d are 1 %, 3 %, 2 % and 2 % respectively. What is the percentage error in the quantity A ?

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