Physics · UNITS AND MEASUREMENT
हिन्दीA substance of mass \( 5.74 \text{ g} \) occupies a volume of \( 1.2 \text{ cm}^3 \). Express its density to the correct number of significant figures, and identify the underlying rule.
Correct answer · Option 1
\( 4.8 \text{ g cm}^{-3} \), as the result should retain as many significant figures as the input quantity with the least significant figures.
Explanation
Density = \( \frac{5.74 \text{ g}}{1.2 \text{ cm}^3} = 4.7833... \text{ g cm}^{-3} \). Mass has 3 significant figures and volume has 2 significant figures. In division, the final answer must retain 2 significant figures (the minimum of the input values), so density = \( 4.8 \text{ g cm}^{-3} \).