Question

A physical quantity A is related to four observations
a260
a, b, c and d as follows, card The percentage
errors of measurement in a, b, c and d are 1%, 3%,
2% and 2% respectively. What is the percentage
error in the quantity A
a) 12%
b) 7%
c) 5%
d) 14%​

Answer 1

Answer:

The given physical quantity  A=cda2b3

Given :  aΔa×100=1%,    bΔb×100=3%,    cΔc×100=2% and  dΔd×100=2%

Percentage error in A,   AΔA×100= 2aΔa×100 +3bΔb×100 +cΔc×100+21×dΔd×100

⟹ AΔA×100=2×1+3×3+2+21×2=14 %