A physical quantity \rho is related to four variables α,β,γ and η asρ=α3β2ηγThe percentage errors of measurements in α,β,γ and η are 1%, 3%, 4% and 2%, respectively. Find the percentage error in ρ.
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a
13%
b
11%
c
9%
d
15%
answer is A.
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Detailed Solution
% error in ρ=3(% error in α)+2(% error in β)+12(% error in γ)+(% error in η)= 13 %