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NEET PHYSICSMedium

The length, breadth, and thickness of a block are given by l=12 cml = 12\text{ cm}, b=6 cmb = 6\text{ cm} and t=2.45 cmt = 2.45\text{ cm}. The volume of the block according to the idea of significant figures should be:

A

1×102 cm31 \times 10^2\text{ cm}^3

B

2×102 cm32 \times 10^2\text{ cm}^3

C

1.764×102 cm31.764 \times 10^2\text{ cm}^3

D

None of these

Step-by-Step Solution

The volume of the block is calculated as V=l×b×t=12 cm×6 cm×2.45 cm=176.4 cm3V = l \times b \times t = 12\text{ cm} \times 6\text{ cm} \times 2.45\text{ cm} = 176.4\text{ cm}^3. According to the rules for significant figures in multiplication, the final result should retain as many significant figures as there are in the original measurement with the least significant figures. Here, the breadth b=6 cmb = 6\text{ cm} has the least number of significant figures, which is 11. Therefore, the calculated volume must be rounded off to 11 significant figure. 176.4 cm3=1.764×102 cm3176.4\text{ cm}^3 = 1.764 \times 10^2\text{ cm}^3. Rounding this to 11 significant figure gives 2×102 cm32 \times 10^2\text{ cm}^3.

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