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For \mathrm{z= a^{2}x^{3}y^{\frac{1}{2}}}, where \mathrm{'a'} is a constant. If percentage error in measurement of \mathrm{'x'} and \mathrm{'y'} are \mathrm{4%} and \mathrm{12%} respectively, then the percentage error for \mathrm{'z'} will be ________\mathrm{%}.

Option: 1

18


Option: 2

-


Option: 3

-


Option: 4

-


Answers (1)

best_answer

\mathrm{z=a^{2} x^{3} y^{\frac{1}{2}}} \\

\mathrm{\frac{\Delta z}{z} \times 100= \frac{3\Delta x}{x} \times 100 +\frac{1}{2} \frac{\Delta y}{y} \times 100} \\

\mathrm{\frac{\Delta z}{z} \times 100= 3(4 \%)+\frac{1}{2} \times(12 \%)} \\

                    \mathrm{= 18 \%}

The percentage error in measurement of  \mathrm{z} is \mathrm{18 \%}

 

Posted by

Ritika Kankaria

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