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Problem
Problem
A physical quantity
ρ
\rho
ρ
is related to four variables
α
,
β
,
γ
\alpha, \beta, \gamma
α
,
β
,
γ
and
η
\eta
η
as
ρ
=
α
3
β
2
η
γ
\rho = \frac{\alpha^3 \beta^2}{\eta \sqrt{\gamma}}
ρ
=
η
γ
α
3
β
2
The percentage errors of measurements in
α
,
β
,
γ
\alpha, \beta, \gamma
α
,
β
,
γ
and
η
\eta
η
are 1%, 3%, 4% and 2% respectively. Find the percentage error in
ρ
\rho
ρ
.
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