Question

error in case of measured quantity raised to a power

Answer 1

error in x^n = n.∆x/x

Answer 2

Hi Mate

Hi Mate_______

Your Answer:-

The relative error in a physical quantity raised to the power k is the k times the relative error in the individual quantity.

Suppose Z = A2,

Then,

ΔZ/Z = (ΔA/A) + (ΔA/A) = 2 (ΔA/A).

Hence, the relative error in A2 is two times the error in A.

In general, if Z = (Ap Bq)/Cr

Then,

ΔZ/Z = p (ΔA/A) + q (ΔB/B) + r (ΔC/C).

Hope it helps you!!!

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