Question

a physical quantity x is given by the relation x equal a square b by square root c if the percentage error of measurements in a b and c are 2% 3% and 4% respectively then calculate the % error in x
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Answer 1

Answer:

x=ab

2

c

−1/2

We know from rules of propagation of error.

x

Δx

=

a

Δa

+

b

2Δb

+

2

1

c

Δc

⇒

x

Δx

=4+2×2+

2

1

×3=8+1.5=9.5%