A physical quantity P is related to four observations a, b, c and d as follows:
P= a3b2/ c√d
The percentage errors of measurement in a, b, c and d are 1%, 3%, 2%, and 4% respectively. The percentage error in the quantity P is
2%
13%
15%
10%
Maximum % error in P = ΔP P × 100 = 3 ( Δa a × 100 ) + 2 ( Δb b × 100 ) + ( Δc c × 100 ) + 1 2 ( Δd d × 100 )
= 3 × 1 + 2 × 3 + 2 + 1 2 × 4 = 13 %
