Question

A quantity x is defined by x = (A² *√B)/(C ^ - 2)and thepercentage errors in the measurements of A, B and C are 1%, 2% and 0.5% respectively. The maximum percentage error in x is​

Answer 1

Answer:

x = ab^2c^-1/2 We know from rules of propagation of error. Δxx = Δaa + 2Δbb + 12 Δcc Δxx = 4 + 2 × 2 + 12 × 3 = 8 + 1.5 = 9.5.

Answer 2

Answer:

X=

C

1/3

D

3

A

2

B

So, fractional error in the measurement of X is:

X

ΔX

=

A

2ΔA

+

B

ΔB

+

3

1

C

ΔC

+

D

3ΔD

=(2×2)+2+(

3

1

×4)+(3×5)

(

3

1

×4⇒ Minimum error out of the four)