Ncert Exercises & Solutions

The mass and volume of a body are \(4.237~\mathrm{g}\) and \(2.5~\mathrm{cm^3}\), respectively. The density of the material of the body in correct significant figures will be:
1. \(1.6048~\mathrm{g~cm^{-3}}\)
2. \(1.69~\mathrm{g~cm^{-3}}\)
3. \(1.7~\mathrm{g~cm^{-3}}\)
4. \(1.695~\mathrm{g~cm^{-3}}\)

Hint - No. of significant figures in result = 2

(3)

Hint: The result should have as many significant figures as there are in the value with the least significant figures.

Step 1: Find the density of the body.

In this question, density should be reported to two significant figures.

Density = \frac{4 .237 g}{2 .5 {cm}^{3}} = 1 .6948

{cm}^{- 3}

Step 2: Round off the value to appropriate significant figures.

As rounding off the number, we get density = 1.7 g

{cm}^{- 3}

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