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 $\rho$.

• A

  13%

• B

  11%

• C

  9%

• D

  15%