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Units and Measurements physics ncert solutions class 11th Physics Class 11th Physics NCERT Exemplar Solutions Class 11th Chapter Two

The length and breadth of a rectangular sheet are 16.2 cm and 10.1cm, respectively. The area of the sheet in appropriate significant figures and error is

(a) 164 ± 3 cm²

(b) 163.62 ± 2.6 cm²

(c) 163.6 ± 2.6 cm²

(d) 163.62 ± 3 cm²

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1 Answer

Answered by

Payal Gupta | Contributor-Level 10

4 months ago

This is a multiple choice answer as classified in NCERT Exemplar

(a) Given length = (1.62 $\pm 0.1$ )cm

And breadth b= (10.1 $\pm 0.1$ )cm

Area = l $\times$ b=163.62 cm²

But when we rounding off to three significant figures then it would be =164cm²

$\frac{? A}{A} = \frac{? l}{l} + \frac{? b}{b} = \frac{0.1}{16.2} + \frac{0.1}{10.1} = \frac{2.63}{163.62}$

$s o ? A = A \times \frac{2.63}{163.62} = 16.62 \times \frac{2.63}{163.32}$ = 2.63cm²

So by rounding it off it become 3cm²

Area A= (164 $\pm 3$ )cm²

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The length and breadth of a rectangular sheet are 16.2 cm and 10.1cm, respectively. The area of the sheet in appropriate significant figures and error is

(a) 164 ± 3 cm²

(b) 163.62 ± 2.6 cm²

(c) 163.6 ± 2.6 cm²

(d) 163.62 ± 3 cm²

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The length and breadth of a rectangular sheet are 16.2 cm and 10.1cm, respectively. The area of the sheet in appropriate significant figures and error is (a) 164 ± 3 cm2 (b) 163.62 ± 2.6 cm2 (c) 163.6 ± 2.6 cm2 (d) 163.62 ± 3 cm2

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The length and breadth of a rectangular sheet are 16.2 cm and 10.1cm, respectively. The area of the sheet in appropriate significant figures and error is

(a) 164 ± 3 cm²

(b) 163.62 ± 2.6 cm²

(c) 163.6 ± 2.6 cm²

(d) 163.62 ± 3 cm²