A physical quantity P is related to four observables a, b, c and d as follows: P= (a^(3)b^(2))/(sqrt(c)d)The percentage errors of measurement in a, b, c and d are 1%, 3%, 4% and 2%, respectively. What is the percentage error 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))/(sqrt(c)d)The percentage errors of measurement in a, b, c and d are 1%, 3%, 4% and 2%, respectively. What is the percentage error in the quantity P?
Answer» `12%` `13%` `15%` `16%` Solution :As `P= (a^(3)B^(2))/(sqrt(c)d)` The percentage error in P is `(DELTAP)/(P)xx100= [3((Deltaa)/(a))+ 2((Deltab)/(b))+ (1)/(2)((Deltac)/(c))+ (DELTAD)/(d)] xx 100` `[ 3 xx 1%+ 2 xx 3%+ (1)/(2) xx 4%+ 2%]= 13%`