Question

A physical quantity X is given by X=a2b2/1/2.if the percentage error in a,b,c,and d are4%,2%,3%and1% respectively

Answer 1

Answer:

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%