A physical quantity x is given by x = (a^(2)b^(3))/(csqrtd) . If the percentage errors of measurement in a, b, c and d are 4%, 2%, 3% and 1% respectively, then calulate the percentage error in the calculation of x.

A physical quantity x is given by x = (a^(2)b^(3))/(csqrtd) . If the p

1.	A physical quantity x is given by x = (a^(2)b^(3))/(csqrtd) . If the percentage errors of measurement in a, b, c and d are 4%, 2%, 3% and 1% respectively, then calulate the percentage error in the calculation of x.
Answer» <html><body><p></p>Solution :Given x = `(a^(2)b^(<a href="https://interviewquestions.tuteehub.com/tag/3-301577" style="font-weight:bold;" target="_blank" title="Click to know more about 3">3</a>))/(csqrtd)` <br/> The <a href="https://interviewquestions.tuteehub.com/tag/percentage-13406" style="font-weight:bold;" target="_blank" title="Click to know more about PERCENTAGE">PERCENTAGE</a> <a href="https://interviewquestions.tuteehub.com/tag/error-25548" style="font-weight:bold;" target="_blank" title="Click to know more about ERROR">ERROR</a> in x is given by <br/> `(Deltax)/(x) xx <a href="https://interviewquestions.tuteehub.com/tag/100-263808" style="font-weight:bold;" target="_blank" title="Click to know more about 100">100</a> = 2 (Deltaa)/(a) xx 100 + 3(Deltab)/(b) xx 100 + (<a href="https://interviewquestions.tuteehub.com/tag/deltac-2053512" style="font-weight:bold;" target="_blank" title="Click to know more about DELTAC">DELTAC</a>)/(c) xx 100 + 1/2 (Deltad)/(d) xx 100` <br/> = `(2xx4%)+(3xx2%)+(1xx3%)+(1//2xx1%)` <br/> = `8% + 6% + 3% + 0.5%` <br/> The percentage error is x = `17.5%`</body></html>