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Home  >>  JEEMAIN and NEET  >>  Physics  >>  Class11  >>  Units and Measurement

The length and breadth of a rectangular area are 25.2 cm and 16.8 cm respectively and have been measured to an accuracy of 0.1 cm. Find the percentage error in the area .

$\begin{array}{1 1}(A)\;2.4\% \\(B)\;1 \% \\(C)\;9.8\% \\(D)\;2 \% \end{array} $

1 Answer

$A= l \times b$
$\large\frac{\delta A}{A} $$ \times 100 = \large\frac{\Delta l}{l} $$\times 100 +\large\frac{\Delta b}{b} $$ \times 100$
$\% $ error = $\large\frac{0.1}{25.2} $$ \times 100 +\large\frac{0.1}{16.8} $$\times 100$
$\qquad= 0.4 \% +0.6 \% =1.0\%$
Hence B is the correct answer.
answered Jul 11, 2014 by meena.p
 

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