Question

Given X = aⁿb^m/p^r. The percent error in measurement of a, b and p is 1%, 0.5% and 0.75% respectively. If n = 2, m = 2 and r = 4 then percent error in x is

• A. 0
• B. 6 %
• C. 5.25%
• D. 0.75 %

Answer 1

Answer: (B)

6 %

Answer 2

$\frac{dX}{X} \times 100 = \left( n\frac{da}{a} + m\frac{db}{b} + r\frac{dp}{p} \right) \times 100$ = 2 × 1 + 2(0.5) + 4(0.75) = 6%