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A physical quantity $z$ depends on four observables $a, b, c$ and $d$ , as $z = \frac{a^{2} b^{\frac{2}{3}}}{\sqrt{c} d^{3}}$ . The percentages of error in the measurement of $a, b, c$ and $d$ are $2 %$ , $1.5 %, 4 % a n d 2.5 %$ respectively. The percentage of error in $z$ is:

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Correct option is A

%error in Z =2%error in a+23%error in b+12%error in c+3%error in d=2×2+231.5+12×4+32.5=14.5%

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A physical quantity z depends on four observables a,b,c and d, as z=a2b23cd3. The percentages of error in the measurement of a,b,c and d are 2%, 1.5%,4% and 2.5% respectively. The percentage of error in z is:

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A physical quantity $z$ depends on four observables $a, b, c$ and $d$ , as $z = \frac{a^{2} b^{\frac{2}{3}}}{\sqrt{c} d^{3}}$ . The percentages of error in the measurement of $a, b, c$ and $d$ are $2 %$ , $1.5 %, 4 % a n d 2.5 %$ respectively. The percentage of error in $z$ is: