Question

DATE
1
Page No.
A physical quality
from
is calculat
the relation
x аз БЗ
Cid
well
If % error
error in
.
in a
a, b, c, d are
2017 31-12
40
What is the %
error
in x ?
و
respectively
BON​

Answer 1

A

12%.

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%