Question

3
(391
- A physical quantity: X is given as 8-a²-3
If the percentage evoors of this measuremen, is a bic
andd are o 4%, 21., 37 and 17. respectively,
What is the percentage of error in a​

Answer 1

Explanation:

Given x=

c

1/2

d

1/2

a

3

b

2

On taking log and differentiating, we get

x

Δx

=3

a

Δa

+2

b

Δb

+(

2

1

)

c

Δc

+(

2

1

)

d

Δd

⇒ Percentage error in x=3(1)+2(3)+

2

1

(4)+

2

1

(2)=12%