12. The measurement of length and breadth of a rectangle are l = (30.0 ± 0.2) cm and b = (10.0 ± 0.1) cm. What is the percentage error in the calculation of area of rectangle? (1) ± 2.59% (2) ± 1.67% (3) ± 1.59% (4) ± 1.25%
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I = (5.7 ± 0.1) cm
b = (3.4 ± 0.2) cm
Area = lb = 5.7 × 3.4
= 19.38 cm2
ΔA/A = (ΔI/I) + (Δb/b)
⇒ ΔA = ((0.1/5.7) + (0.2/3.4)) × 19.4 = 1.5 cm2
∴ A = (19.4 ± 1.5) cm2
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