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The length and breadth of a rectangular ...

The length and breadth of a rectangular lamina are measured to be `(2.3 +- 0.2) cm (1.6 +- 0.1)cm.` Calculate area of the lamina with error limits.

Text Solution

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Here, `I = (2.3 +- 0.2)cm and b = (1.6 +- 0.1 cm, A I xx b = 2.3xx1.6 = 3.68cm^2`
`(Delta A)/(A) = +-((Delta I)/(I) + (Deltab)/(b)) = +-((0.2)/(2.3) +(0.1)/(1.6)) = +- (0.55)/(3.68)`
`Delta = +- (0.55)/(3.68) xxA = +- (0.55)/(3.68)xx3.86 = +- 0.55 :. A = (3.68+- 0.55)cm^2`
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