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Q.

A physical quantity \rho is related to four variables α,β,γ and η as

ρ=α3β2ηγ

The 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 %

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