A physical quantity P is related to four observables a, b, c and d as follows: P = (a^(3)b^(2))/(dsqrt(c)) The percentage errors of measurement in a, b, c and d are 1%, 3%, 4% and 2% respectively. What is the percentage errors in the quantity P?

A physical quantity P is related to four observables a, b, c and d as

1.	A physical quantity P is related to four observables a, b, c and d as follows: P = (a^(3)b^(2))/(dsqrt(c)) The percentage errors of measurement in a, b, c and d are 1%, 3%, 4% and 2% respectively. What is the percentage errors in the quantity P?
Answer» <html><body><p></p>Solution :<a href="https://interviewquestions.tuteehub.com/tag/relative-1183377" style="font-weight:bold;" target="_blank" title="Click to know more about RELATIVE">RELATIVE</a> error in P is <a href="https://interviewquestions.tuteehub.com/tag/given-473447" style="font-weight:bold;" target="_blank" title="Click to know more about GIVEN">GIVEN</a> by <br/> `(DeltaP)/(P) = 3 (<a href="https://interviewquestions.tuteehub.com/tag/deltaa-2570644" style="font-weight:bold;" target="_blank" title="Click to know more about DELTAA">DELTAA</a>)/(a) +2 (Deltab)/(b) + 1/2 (Deltac)/(c) + (Deltad)/(d)` <br/> `(DeltaP)/(P) 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> = 3((Deltaa)/(a) xx 100) +2 ((Deltab)/(b) xx 100) +1/2 ((Deltac)/(c) xx 100)+ (Deltad)/(d) xx 100` <br/> = `(3xx1%) + (2xx3%)+((1)/(2)xx4%)+(1xx2%) =13%` <br/> <a href="https://interviewquestions.tuteehub.com/tag/rounded-2999253" style="font-weight:bold;" target="_blank" title="Click to know more about ROUNDED">ROUNDED</a> off value of P = 3.8</body></html>