The length of a rectangular plate is measured by a meter scale and is found to be \( 10.0 \mathr...

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The length of a rectangular plate is measured by a meter scale and is found to be \( 10.0 \mathrm{~cm} \). Its width is measured by vernier callipers as \( 1.00 \mathrm{~cm} \). The least count of the meter scale \( \mathrm{d} \) vernier callipers are \( 0.1 \mathrm{~cm} \) and \( 0.01 \mathrm{~cm} \), respectively. Maximum permissible error in area measurement is
(a) \( \pm 0.2 \mathrm{~cm}^{2} \)
(b) \( \pm 0.1 \mathrm{~cm}^{2} \)
(c) \( \pm 0.3 \mathrm{~cm}^{2} \)
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