If the formula for a physical quantity is W=(a^(4)b^(3))/(c^(2)sqrt(d)) and if percentage errors in the measurement of a, b, c and d are 1%, 2%, 3% and 4% respectively. Find the percentage error in W.

If the formula for a physical quantity is W=(a^(4)b^(3))/(c^(2)sqrt(d)

1.	If the formula for a physical quantity is W=(a^(4)b^(3))/(c^(2)sqrt(d)) and if percentage errors in the measurement of a, b, c and d are 1%, 2%, 3% and 4% respectively. Find the percentage error in W.
Answer» 1% 16% 18% 12% Solution :`(DELTAW)/(W)=4(Deltaa)/(a)+3(Deltab)/(h)+2(DELTAC)/(2)+(1)/(2)(Deltad)/(d)` `=4(1%)+3(2%)+(1)/(2)(4%)` 18%