Question

a physical quantity x=a² b³ c^5/2 d^-2 if % error in a b c d are 1% ,2%, 3%, 4% respectivly. find percentage error in x.​

Answer 1

From the question,

A,B,C and D have the errors of 1%,2%,3% and 4% respectively

To find the percentage error in the physical quantity

Using the Formula,

P%=a(∆A/A)+b(∆B/B)+c(∆C/C)+d(∆D/D)

Here,

a=2,b=3,c=5/2 and d= -2

Substituting the values,

P% = ±[2(1) + 2(3) + 3(5/2) + 4(-2)]

= ±(2+6-8+15/2)

=±15/2

= ±7.5%

The error in the percentage is ±7.5%