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A physical quantity $\zeta$ is calulated using the formula $\zeta = (1/10)xy^{2}/z^{1/3}$, where x, y and z are experimentally measured quantities. If the fractional error in the measurement of x, y and z are 2%, 1% and 3% respectively, then the percentage error in $\zeta$ will be
Explanation
$\Delta\zeta/\zeta \times 100 = (\Delta x/x + 2\Delta y/y + (1/3)(\Delta z/z)) \times 100 = 2 + 2 \times 1 + (1/3) \times 3 = 5\%$
