In an experiment, four quantities a, b, c and d are measured with percentage error 1%, 2%, 3% and 4%, respectively. Quantity P is calculated as follows:
P=a3b2cd,% error in P is
14%
10%
7%
4%
(a) P=a3b2cd
⇒∆PP×100=3(∆aa×100)+2(∆bb×100)+(∆cc×100)+(∆dd×100)
=3×1+2×2+3+4
=3+4+3+4=14%
