Question

A physical quantity x is calculated from the relation x= a^3*b^2/uder root cd . calculte percentage error in x if percentage error in a,b,c,d are1%,3%,4%,2%

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%

Explanation:

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