Question

In an experiment, four quantities a, b, c and d are measured with maximum percentage error of 1%, 2%, 3% and 4% respectively. If quantity P is calculated as 1/2 2/3 1/4  a b P c d , then maximum percentage error in the calculation of P is (1) 2% (2) 4% (3) 3% (4) 5%​

Answer 1

Explanation:

Correct option is

A

14%

P=cda3b2

⇒PΔP=3(aΔa×100)+2(bΔb×100)+(cΔc+100)+(dΔd×100)

              =3×1+2×2+3+4

              =3+4+3+4=14%