Question

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An experiment measures quantity a,b, c and X is calculated from the
formula :
$X = \frac{a {b}^{2} }{ {c}^{3} }$
The percentage error of measurements in a,b and care 1%,2% and 3% respectively. What is the percentage error in X?

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Answer 1

Error in a,

a

Δa

​

×100=1%

Error in b

b

Δb

​

×100=3%

Error in c

c

Δc

​

×100=2%

The quantity is given as x=

c

3

ab

2

​

Error in measurement of x

x

Δx

​

×100=

a

Δa

​

×100+ 2×

b

Δb

​

×100 +3×

c

Δc

​

×100

⟹

x

Δx

​

×100=1+2×3+3×2=13%

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Answer 2

Answer:

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