Question

A physical quantity X is related to three observable a,b,c as X= √ab²÷c². the errors of measurements in a,b,c are 2%,1%, 3% respectively. what is the percentage error in the quantity X ?

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Answer 1

Answer:

9.5%

Explanation:

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%

Answer 2

Answer:

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