A physical quantity \( \rho \) is related to four variables \( \alpha, \beta, \gamma \) and \( \...

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